DANSE - Publications (Query Results)

Publications:

Peter E. Kloeden, Russell A. Johnson: Nonautonomous attractors of skew-product flows with digitized driving systems
submitted to Electronic Journal of Differential equations (2001)
Keywords: pullback attractor, skew-product flow, digitization
update (internal id: 03/01)
Guido Schneider, Hannes Uecker: Existence and stability of modulating pulse solutions in Maxwell's equations describing nonlinear optics
submitted to ZAMP (2001)
Keywords: nonlinear optics
update (internal id: 02/01)
Guido Schneider, Hannes Uecker: Nonlinear coupled mode dynamics in hyperbolic and parabolic periodically structured spatially extended systems
submitted to Asymptotic Analysis (2001)
Keywords: nonlinear optics, pattern formation
update (internal id: 01/01)
Peter E. Kloeden, Boris N. Sadovsky, and Inna E. Vasilyeva: Quasi-flows and equations with nonlinear differentials
accepted by Nonlinear Analysis TMA (2001)
Keywords: quasi-flows, equations with nonlinear differentials
update (internal id: 41/00)
L. Esteva, K.P. Hadeler: Maximal Prevalence and the Basic Reproduction Number in Simple Epidemics
submitted to Math. Approaches for Emerging and Reemerging Infectious Diseases (2000)
update (internal id: 40/00)
Peter E. Kloeden, Alex M. Rubinov: Attracting sets for increasing co-radiant and topical operators
submitted to Mathematische Nachrichten (2000)
Keywords: attracting sets, increasing co-radiant operators, topical operators
update (internal id: 39/00)
S.V.Zelik: Spatial and dynamical chaos generated by reaction-diffusion sytems in unbounded domains
submitted to Nonlinearity (2000)
update (internal id: 38/00)
Peter Kloeden, Viktor Kozyakin: The perturbation of attractors of skew-product flows with a shadowing driving system
submitted to Discrete and Continuous Dynamical Systems (2000)
Keywords: skew product flow, attractors, perturbations, shadowing
update (internal id: 37/00)
Peter E. Kloeden and Viktor S. Kozyakin: Uniform nonautonomous attractors under discretization
submitted to Continuous and Discrete Dynamical Systems (2001)
Keywords: skew-product flow, nonautonomous attractors, 1-step numerical scheme
update (internal id: 36/00)
S. Ruediger, F. Feudel: Pattern formation in Rayleigh-Benard convection in a cylindrical container
to appear in Phys. Rev. E (2000)
update (internal id: 35/00)
A. Witt, R. Braun, F. Feudel, C. Grebogi, J. Kurths: Tracer dynamics in a flow of driven vortices
published in Phys. Rev. E 59, 1605-1614 (1999)
update (internal id: 34/00)
A. Demircan, S. Scheel, and N. Seehafer: Heteroclinic behavior in Rotating-Benard convection
published in Eur. Phys. J 13, 765-775 (2000)
update (internal id: 33/00)
S.W. Zelik: The Attractors of Reaction-Diffusion Systems in Unbounded Domains and their Spatial Complexity
submitted to Journal Nonlinearity (2000)
update (internal id: 32/00)
W.-J. Beyn, T. Pampel, W. Semmler: Dynamic Optimization and Skiba Sets in Economic Examples
submitted to Optimal Control Applications and Methods (2000)
update (internal id: 31/00)
Peter E. Kloeden, Viktor S. Kozyakin: Single parameter dissipativity and attractors in discrete time asynchronous systems
to appear in J. Difference Eqns. and Applns. (2001)
Keywords: nonautonomous difference equations, asynchronous systems, pullback attractor
update (internal id: 30/00)
A.V. Ivanov: Study of the double mathematical pendulum - IV. Quantitative bounds on values of the system parameters when the homoclinic transversal intersections exist
submitted to Regular and Chaotic Dynamics (2000)
update (internal id: 29/00)
A. L. Afendikov, Th. J. Bridges: Instability of the Hocking-Stewartson Pulse and its Implications for the Three-Dimensional Poiseuille Flow
submitted to Proceedings of the Royal Society of London (2000)
update (internal id: 28/00)
David N. Cheban, Peter E. Kloeden and Björn Schmalfuß: The Relationship between Pullback, Forwards and Global Attractors of Nonautonomous Dynamical Systems
submitted to Nonlinear Dynamics and Systems Theory (2000)
Keywords: Nonautonomous dynamical system, skew-product flow, pullback attractor, forwards attractor, global attractor
update (internal id: 27/00)
M.A. Efendiev and S.V. Zelik: Attractors of the Reaction-Diffusion Systems with Rapidly Oscillating Coefficients and Their Homogenization
submitted to Mathematische Nachrichten (2000)
update (internal id: 26/00)
Th. Pampel: Numerical Approximation of Connecting Orbits with Asymptotic Rate
submitted to Numerische Mathematik (2000)
update (internal id: 25/00)
S. Zelik: The Attractor for a Nonlinear Reaction-Diffusion System with a Supercritical Nonlinearity and its Dimension
submitted to J. Rendiconti, Italy (2000)
update (internal id: 24/00)
Peter E. Kloeden: A Lyapunov function for pullback attractors of nonautonomous differential equations
published in Electronic Journal of Differential Equations, Conference 05, 91--102 (2000)
Keywords: pullback attractor, skew-product flow, Lyapunov function
update (internal id: 23/00)
L. M. Lerman: Isoenergetical Structure of Integrable Hamiltonian Systems in an Extended Neighborhood of a Simple Singular Point: Three Degrees of Freedom
submitted to AMS (2000)
update (internal id: 22/00)
Matthias Büger: Planar and screw-shaped solutions for a system of two reaction-diffusion equations on the circle
submitted to Discrete and Continuous Dynamical Systems (2000)
Keywords: reaction-diffusion systems circle
update (internal id: 21/00)
E. Hairer, Ch. Lubich: Long-time energy conservation of numerical methods for oscillatory differential equations
to appear in SIAM J. Numer. Anal. (2001)
update (internal id: 20/00)
Cheng-Hung Chang, Dieter H. Mayer: Transfer operators and period functions for subgroups of PSL(2,Z)
published in Proceedings of MaPhySto, Aarhus University (2000)
Keywords: Eichler's automorphic intergrals period polynomial cusp forms transfer operator Lewis functional equation
update (internal id: 19/00)
Cheng-Hung Chang, Dieter H. Mayer: Eigenfunctions of the transfer operators and the period functions for modular groups
accepted by Contemporary mathematics (2000)
Keywords: transfer operator, period polynomials, period functions, Maass wave forms, Lewis equation, congruent subgroups, new and old forms
update (internal id: 18/00)
Matthias Bueger: The evolution of fast reaction: A reaction-diffusion model
submitted to Nonlinear Analysis: Theory, Methods and Applications (2000)
Keywords: reaction-diffusion evolution sensitivity
update (internal id: 17/00)
Hannes Uecker: Stable modulating multi-pulse solutions for dissipative systems with resonant spatially periodic forcing
submitted to J.Nonlinear Science (2000)
Keywords: center manifold reduction, Floquet theory
update (internal id: 16/00)
Lars Grüne and Peter Kloeden: Higher order numerical schemes for affinely controlled nonlinear systems
to appear in Numerische Mathematik (2001)
Keywords: Affine control systems, Taylor expansion, Taylor schemes, multiple control integrals
update (internal id: 15/00)
Peter E. Kloeden and Viktor S. Kozyakin: The inflation of nonautonomous systems and their pullback attractors
published in Izvestiya Russian Academy of Natural Sciences, Series MMMIU. Vol. 4, No. 1-2, pages 144-169 (2000)
Keywords: nonautonomous system, differential inclusion, pullback attractor
update (internal id: 14/00)
V. Afraimovitch, J.Schmeling, J. Ugalde, E. Urias: Spectra of Dimensions for Poincar Recurrences
submitted to DCDS (2000)
update (internal id: 13/00)
K.Boehmer: On Hybrid Methods for Bifurcation Studies for General Operator Equations
submitted to DANSE-Buch (2000)
update (internal id: 12/00)
K.Boehmer: On Numerical Bifurcation Studies for General Operator Equations
submitted to Equadiff proceedings (2000)
update (internal id: 11/00)
V. Reitmann: Dimension Estimates and the Spanning Surface Principle on Manifolds
submitted to Z. Anal. Anwend. (2000)
update (internal id: 10/00)
V.B. Smirnova: Attractors of Volterra integro-Differential Equations
submitted to SIAM J. Math. Analysis (2000)
update (internal id: 09/00)
T. Okon: Embedding Strategies for Flow-Invariant Compacta on Manifolds
submitted to Arch. Math. (2000)
update (internal id: 08/00)
N.V. Kondrat'eva, A.I. Shepelyavy: Comparison of the Lorenz System and Differential Equation of Induction Motors
submitted to Technische Mechnik (2000)
update (internal id: 07/00)
G.A. Leonov, E.A. Strigun: Localisation of the Li'enard Attractor
submitted to SIAM J. Numer. Analysis (2000)
update (internal id: 06/00)
J. Neunhäuserer: Dimensional Theoretical Properties of Affine Dynamical Systems
submitted to Acta Math. Hung (2000)
update (internal id: 05/00)
S.A. Ljashko: Estimates of the Liapunov Dimension of the Lorenz Attractor
submitted to Nonlinearity (2000)
update (internal id: 04/00)
K.Gelfert: Estimates of the Box-Counting Dimension of Map-Invariant Sets on Riemannian Manifolds
submitted to Nonlinearity (2000)
update (internal id: 03/00)
G.A. Leonov: Dimensions of the Hnon Attractor.
submitted to Appl. Math. Mech. (2000)
update (internal id: 02/00)
K. Matthies: Exponentially Small Splitting of Homoclinic Orbits of Parabolic Equations Under Periodic Forcing
submitted to JDDE (2000)
update (internal id: 01/00)
M.A. Efendiev, S.V. Zelik: Upper and Lower Bounds for the Kolmogorov Entropy of the Attractor for an RDE in an Unbounded Domain
submitted to JDDE (1999)
update (internal id: 42/99)
Lars Gruene: Persistence of attractors for one-step discretizations of ordinary differential equations
submitted to IMA Journal of Numerical Analysis (1999)
update (internal id: 41/99)
B. Sandstede, A. Scheel: From Unbounded to Bounded Domains: The Fate of Point and Essential Spectrum
submitted to Physica D (1999)
update (internal id: 40/99)
B. Sandstede, A. Scheel: On the Structure of Spectra of Modulated Travelling Waves
submitted to Math. Nachrichten (1999)
update (internal id: 39/99)
V.F. Butuzov, N.N. Nefedov, K.R. Schneider: Singularly Perturbed Elliptic Problems in Case of Exchange of Stabilities
submitted to JDE (1999)
update (internal id: 38/99)
K. Matthies: Backward Error Analysis of a Full Discretisation Scheme for a Class of Parabolic Partial Differential Equations
submitted to IMA J. of Numerical Analysis (1999)
update (internal id: 37/99)
K.P.Hadeler, E.N. Selivanova: On the Case of Kovalevskaya and New Examples of Integrable Conservative Systems on S^2
submitted to Regular and Chaotic Dynamics (1999)
update (internal id: 36/99)
J. Neunhäuserer: Properties of Some Overlapping Self-Similar and Some Self-Affine Measures
accepted by Acta Mathematica Hungarica 1999 (1999)
Keywords: self-similar, self-affine, Haudorff dimension, box-counting dimension
update (internal id: 35/99)
S. V. Zelik: The Attractor for Nonlinear Reaction-Diffusion System in the Unbounded Domain and Kolmogorovs e-Entropy
submitted to Archive for Rational Mechanics and Analysis (1999)
update (internal id: 34/99)
K. Matthies: Time-Averaging under Fast Periodic Forcing of Parabolic Partial Differential Equations: Exponential Estimates
submitted to JDE (1999)
update (internal id: 33/99)
J. Haerterich: Viscous Profiles for Traveling Waves of Scalar Balance Laws: The Canard Case
submitted to J. Math Analysis & Applications (1999)
update (internal id: 32/99)
M. Dellnitz, G. Froyland, St. Sertl: On the Isolated Spectrum of the Perron-Frobenius Operator
submitted to Nonlinearity (1999)
update (internal id: 31/99)
W.-J. Beyn, W. Kleß, V. Thümmler: A Continuation Framework for Invariant Subspaces and its Application to Traveling Waves
published in Scientific Computing in Chemical Engineering II, vol. 1 (1999)
update (internal id: 30/99)
A. Bäcker and R. Schubert: Chaotic eigenfunctions in momentum space
published in J. Phys. A 32: 4795-4815 (1999)
Keywords: quantum chaos eigenfunctions scars
update (internal id: 29/99)
A. Bäcker and G. Haag: Spectral statistics for quantized skew translations on the torus
to appear in J. Phys. A. (1999)
Keywords: spectral statistics level spacing distribution
update (internal id: 28/99)
R. Aurich, A. Bäcker, R. Schubert and M. Taglieber: Maximum norms of chaotic quantum eigenstates and random waves
published in Physica D 129: 1-14 (1999)
Keywords: quantum chaos, random superposition of functions
update (internal id: 27/99)
Peter Kloeden and Lars Grüne: Pathwise approximation of random ordinary differential equations
accepted by BIT (1999)
Keywords: random ODE, averaging, higher order schemes
update (internal id: 26/99)
Peter Kloeden and Stephen Shott: Linear-implicit strong schemes for Ito-Galerkin approximations of stochastic PDEs
published in Journal of Applied Mathematics and Stochastic Analysis, 14: 47--53 (2001)
Keywords: linear-implicit, strong scheme, stochastic PDE
update (internal id: 25/99)
F. Camilli, L. Grüne, F. Wirth: A Generalization of Zubov's method to perturbed systems
submitted to SIAM Journal on Control and Optimization (1999)
Keywords: Robust Stability, Robust domain of Attraction, Zubov's method
update (internal id: 24/99)
Matthias Büger: Reaction-diffusion systems with 1-homogeneous non-linearity
submitted to J.D.E. (1999)
Keywords: reaction-difusion equations, oscillation numbers
update (internal id: 23/99)
Peter Kloeden and Viktor Kozyakin: The inflation of attractors and their discretization: the autonomous case
published in Nonlinear Analysis: Theory, Methods, Applications 40, 333--343 (2000)
Keywords: attractors, inflation, discretization
update (internal id: 22/99)
Lars Grüne: Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation
submitted to Journal of Mathematical Analysis and Applications (1999)
Keywords: attracting sets, perturbations, rate of convergence, numerical approximation
update (internal id: 21/99)
Alexander Mielke: The Ginzburg-Landau equation in its role as a modulation equation
submitted to Handbook of Dynamical Systems III, Towards Applications. (1999)
update (internal id: 20/99)
W.-J. Beyn, J. Lorenz: Stability of Traveling Waves: Dichotomies and Eigenvalue Conditions on Finite Intervals
published in Numer. Funct. Analysis Opt., vol. 20, no. 3-4, p. 201--244 (1999)
update (internal id: 19/99)
Jinqiao Duan, Peter Kloeden: Dissipative Quasigeostrophic motion and almost periodic forcing
published in J. Math. Analysis Applns., Vol. 236, pages 74-85 (1999)
Keywords: Dissipative Quasigeostrophic equations, almost periodic solutions, pullback attractor
update (internal id: 18/99)
G. Bocharov, K.P.Hadeler: Structured Population Models, Conservation Laws, and Delay Equations
submitted to J. Differential Equations (1999)
update (internal id: 17/99)
J. Müller, M. Kretzschmar, K. Dietz: Contact Tracing in Stochastic and Deterministic Epidemic Models
submitted to Mathematical Biosciences (1999)
update (internal id: 16/99)
N. Berglund, K. R. Schneider: Control of Dynamic Bifurcations
submitted to Lect. Notes Contr. Inform. Sciences (1999)
update (internal id: 15/99)
M. Kunze, H. Spohn: Adiabatic limit for the Abraham-Lorentz equation
submitted to Ann. Inst. H. Poincar'e, Phys. Th'eor. (1999)
update (internal id: 14/99)
M. Kunze: Periodic solutions of a singular Lagrangian system related to dispersion-managed fiber communication systems
submitted to Nonlinearity (1999)
update (internal id: 13/99)
Matthias Bueger: Convergence to periodic solutions in autonomous reaction-diffusion systems in one space dimension
accepted by J. Diff. Eq. (2000)
Keywords: reaction-diffusion system, periodic solutions, Poincare-Bendixson theorem for R-D-systems
update (internal id: 12/99)
Matthias Bueger: On the existence of stationary and periodic solutions for a class of autonomous reaction-diffusion systems
accepted by Advances in Differential Equations (1999)
Keywords: reaction-diffusion system, periodic solutions
update (internal id: 11/99)
Th. Hillen, Ch. Rohde: Existence of Weak Solutions for a Hyperbolic Chemotaxis Model
submitted to Math. Analysis Appl. (1999)
update (internal id: 10/99)
B. Sandstede, A. Scheel: On the stability of periodic travelling waves with large spartial period
submitted to J. Reine und Angewandte Mathematik (1999)
update (internal id: 9/99)
J.Schmeling: Time weighted entropies
submitted to Coll. Math. (1999)
update (internal id: 8/99)
M. Belhaq, B. Fiedler, F. Lakrad: Homoclinic connections in strongly self-excited nonlinear oscillators: the Melnikov function and the elliptic Lindstedt-Poincar'e method
submitted to Nonlinear Dynamics (1999)
update (internal id: 7/99)
J.Schmeling: Entropy Preservation under Markov Coding
submitted to Random and Comp. Dyn. Syst. (1999)
update (internal id: 6/99)
J. Schmeling, S. Troubetzkoy: Entropy Regular Sets
submitted to Proc. LMS (1999)
update (internal id: 5/99)
C. Wulff, J. S. W. Lamb, I. Melbourne: Bifurcation from relative periodic solutions
submitted to Trans. AMS (1999)
update (internal id: 4/99)
J. Schmeling, E. Szabo, R. Winkler: Hartman and Beatty Bisequences
submitted to Proceedings zur Konferenz über algebraische Zahlentheorie und Diophantische Approximation Ende August/Anfang September 1998 in Graz (1999)
update (internal id: 3/99)
M. Kunze: On Lyapunov Exponents for Non-Smooth Dynamical Systems with an Application to a Pendulum with Dry Friction
to appear in J. Dynamics Differential Equations (1999)
update (internal id: 2/99)
M. Kunze, H. Spohn: Radiation Reaction and Center Manifolds
submitted to SIAM J. Math. Anal. (1999)
update (internal id: 1/99)
A. Komech, M. Kunze, H. Spohn: Effective Dynamics for a Mechanical Particle Coupled to a Wave Field
to appear in Comm. Math. Phys. (1998)
update (internal id: 65/98)
A. Franz: Hausdorff Dimension Estimates for Non-Injective Maps Using the Cardinality of the Preimage Sets
submitted to Nonlinear Analysis, Theory, Methods and Applications (1998)
update (internal id: 64/98)
C. Alscher, W.-J. Beyn: Simulating the Motion of the Leech: A Biomechanical Application of DAEs
published in Numerical Algorithms, Proceedings of the DAE'97 in Grenoble, vol. 19, no. 1-4, p. 1--12 (1998)
update (internal id: 63/98)
J. Müller, B. Schönfisch, M. Kirkilionis: Ring Vaccination
submitted to J. Math. Biology (1998)
update (internal id: 62/98)
J. Müller, K.P. Hadeler: Monotonicity of the Number of Transitions in Linear Chains and the Basic Reproduction Number in Epidemic Models
submitted to Zeitschrift für Analysis und ihre Anwendungen (1998)
update (internal id: 61/98)
M. Haragus-Courcelle, F. Dias: On the Transition from Two-Dimensional to Three-Dimensional Water Waves
submitted to Stud. Appl. Math. (1998)
update (internal id: 60/98)
Wolfram Heineken, Volker Reitmann: Fractal dimension estimates for flow-invariant sets on manifolds
submitted to Zeitschrift für Analysis und ihre Anwendungen (1998)
update (internal id: 59/98)
A. Afendikov, A. Mielke: Multi-Pulse Solutions to the Navier-Stokes Problem Between Parallel Plates
submitted to ZAMP (Zeits. Angewandte Math. Physik) (1998)
update (internal id: 58/98)
F. Guyard, R. Lauterbach: Forced symmetry breaking: Theory and Applications
submitted to Proceedings, Workshop IMA, Minneapolis (1998)
update (internal id: 57/98)
B. Sandstede, A. Scheel: Spectral Stability of Modulated Travelling Waves Bifurcating near Essential Instabilities.
submitted to Proc. Roy. Soc. Edinb. (1998)
update (internal id: 56/98)
F. Colonius, W. Kliemann: Topological, Smooth, and Control Techniques for Perturbed Systems
to appear in Stochastic Dynamics, H. Crauel, M. Gundlach, eds., Springer Verlag (1998)
update (internal id: 55/98)
Ch. Schütte, A. Fischer, W. Huisinga, P. Deuflhard: A Hybrid Monte Carlo Method for Essential Molecular Dynamics.
submitted to Journal of Computational Physics, Special Issue on Computational Biophysics (1998)
update (internal id: 54/98)
A.J. Homburg, B. Krauskopf: Resonant Homoclinic Flip Bifurcations.
submitted to J. of Dynamics and Diff. Eq. (1998)
update (internal id: 53/98)
P. Deuflhard, W. Huisinga, A. Fischer, Ch. Schütte: Identificaion of Almost Invariant Aggregates in Reversible Nearly Uncoupled Markov Chains
submitted to Journal of Computational Physics, Special Issue on Computational Biophysics (1998)
update (internal id: 52/98)
D. Cheban, B. Schmalfuss, P.E. Kloeden: Pullback attractors in dissipative nonautonomous differential equations under discretization
published in J. Dynamics and Differential Equations, 13: 185-213 (2001)
Keywords: attractor, discreization, nonautonomous
update (internal id: 51/98)
J.Schmeling, S. Troubetzkoy: Scaling Properties of Hyperbolic Measures.
submitted to ETDS (1998)
update (internal id: 50/98)
K.P.Hadeler, R.Illner, P. van den Driessche: A Disease Transport Model
submitted to SIAM J. Applied Mathematics (1998)
update (internal id: 49/98)
G. Keller, C. Liverani: Stability of the Spectrum for Transfer Operators
submitted to Annali della Scuola Normale Superiore di Pisa (1998)
update (internal id: 48/98)
B. Fiedler, R.-M. Mantel: Crossover Collisions of Scroll Wave Filaments
preprint (1999)
update (internal id: 47/98)
E. Behrends, J.Schmeling: Strongly Mixing Sequences of Measure Preserving Transformations
submitted to Studia Math (1998)
update (internal id: 46/98)
N. Koksch: On the Existence of Nonlocal Integral Manifolds of Ordinary Differential Equations
submitted to Nonlinear Analysis, Theory, Methods, and Application (1998)
update (internal id: 45/98)
A.J. Homburg: Singular Heteroclinic Cycles
submitted to J. Diff. Eq. (1998)
update (internal id: 44/98)
M. Kunze, T. Küpper, Y. Li: On Conley Index Theory for Non-Smooth Dynamical Systems
to appear in Differential Integral Equations (1998)
update (internal id: 43/98)
Bernold Fiedler, Stefan Liebscher, James C. Alexander: Generic Hopf bifurcation from lines of equilibria without parameters: III. Binary Oscillations
submitted to International Journal of Bifurcation and Chaos (1998)
update (internal id: 42/98)
Bernold Fiedler, Stefan Liebscher: Generic Hopf bifurcation from lines of equilibria without parameters: II. Systems of viscous hyperbolic conservation laws
submitted to SIAM Journal on Mathematical Analysis (1998)
update (internal id: 41/98)
Bernold Fiedler, Stefan Liebscher, James C. Alexander: Generic Hopf bifurcation from lines of equilibria without parameters: I. Theory
submitted to Journal of Differential Equations (1998)
update (internal id: 40/98)
G. Schneider: Aspects of modulational dynamics - Diffusive versus pulse behavior -
submitted to Proceedings STAMM 98 (1998)
Keywords: bifurcations stability essential spectrum
update (internal id: 39/98)
H. Uecker: Diffusive stability of rolls in two-dimensional real and complex Swift-Hohenberg equation
submitted to Comm. Part. Diff. Equ. (1998)
Keywords: stability pattern formation
update (internal id: 38/98)
A. Mielke, G.Schneider, A. Ziegra: Comparison of inertial manifolds and application to modulated systems
submitted to Mathematische Nachrichten (1998)
Keywords: inertial manifold effective simulation pattern formation
update (internal id: 37/98)
Christoph Bandt: The geometry of a parameter space of interacting particle systems
submitted to Journal of Statistical Physics (1998)
Keywords: interacting particle system, duality, thinning, Mandelbrot set
update (internal id: 36/98)
G.J. Lord, D. Peterhof, B. Sandstede, A. Scheel: Numerical Computation Waves on Infinite Cylinders.
submitted to Siam J. Numerical Analysis (1998)
update (internal id: 35/98)
A. Veeser: Fehlerabschätzungen für ein Verfahren zur Berechnung von zweidimensionalen Dendriten
submitted to Dissertation, Math. Fakultät Freiburg (1998)
Keywords: finite elements, error estimates, dendrites, Stefan problem, surface tension, kinetic undercooling
update (internal id: 34/98)
K. Böhmer, Dr. Mei, A. Schwarzer, R. Sebastian: Path-Following of Large Bifurcation Problems.
submitted to Proceedings of the IMA Workshop on "Large-Scale Dynamical Systems", Minnesota (1998)
update (internal id: 33/98)
K. Böhmer, N. Sassmannshausen: Numerical Liapunov-Schmidt Spectral Methods for k-Determined Problems.
submitted to Special Issue CMAME, "Computational Methods and Bifurcation Theory with Applications" (1998)
update (internal id: 32/98)
G. A. Leonov, K. Gelfert, V. Reitmann: Hausdorff Dimension Estimates by Use of a Tubular Caratheodory Structure.
submitted to Mathematische Nachrichten (1998)
update (internal id: 31/98)
G. Dziuk: Discrete Anisotropic Curve Shortening Flow.
submitted to SIAM J. Numer. Analysis (1998)
Keywords: curve shortening flow, motion by anisotropic curvature, finite element approximation, convergence
update (internal id: 30/98)
P. Chossat, F. Guyard, R. Lauterbach: Generalized Heteroclinic Cycles in Spherically Invariant Systems and Their Perturbations.
accepted by J. Nonl. Science (1998)
Keywords: Equivariant systems, Benard problem, recurrence
update (internal id: 29/98)
K. Deckelnick, G. Dziuk: Discrete Anisotropic Curvature Flow of Graphs.
submitted to M2AN (1998)
Keywords: motion by anisotropic curvature, finite element approximation, convergence
update (internal id: 28/98)
M. Goldstern, J. Schmeling, R. Winkler: Metric, Fractal Dimensional and Baire Results on the Distribution of Subsequences.
submitted to Mathematische Nachrichten (1998)
update (internal id: 27/98)
M. Kunze, T. Küpper, V.K. Mezentsev, E.G. Shapiro, S. Turitsyn: Nonlinear solitary waves with Gaussian tails
to appear in Physica D (1998)
Keywords: nonlinear Schrödinger equation, quadratic potential, solitons
update (internal id: 26/98)
J. Neunhäuserer: A New Class of Counterexamples to the Variational Principle for Hausdorff Dimension.
submitted to Random and computational dynamics (1998)
update (internal id: 25/98)
C. Bandt, K.P. Hadeler, F. Kriese: Particle systems acting on undirected graphs
accepted by J. Statist. Phys. (1998)
Keywords: cellular automata, duality, parameter space, voter model
update (internal id: 24/98)
Bandt, Christoph: Self-similarity and probability I. Parameters describing the geometry of Cantor sets
accepted by Bull. London Math. Soc. (1998)
Keywords: tangentail measures, density, porosity, fractal
update (internal id: 23/98)
Joachim Becker, Martin Rumpf: Visualization of time-dependent velocity fields by Texture Transport
accepted by Proceedings of Euro Graphics 98 (1998)
update (internal id: 22/98)
J. Härterich: Heteroclinic Orbits Between Rotating Waves in Hyperbolic Balance Laws.
submitted to Proc. Royal Soc. Edinb. (1998)
update (internal id: 21/98)
J. Schmeling, S. Troubetzkoy: Interval Translation Mappings.
submitted to Mathematische Zeitschriften (1998)
update (internal id: 20/98)
Philip Aston, Michael Dellnitz: The Computation of Lyapunov Exponents Via Spatial Integration With Application to Blowout Bifurcations.
submitted to Computer Methods in Applied Mechanics and Engineering (1998)
update (internal id: 19/98)
A. Schmidt: Approximation of Crystalline Dendrite Growth in Two Space Dimensions.
submitted to Acta Math. Univ. Comenianae (1998)
update (internal id: 18/98)
M. Efendiev, A. Miranville: Finite Dimensional Attractors for Reaction-Diffusion Equations in Rn with a Strong Nonlinearity
submitted to J. Discrete and Continuous Dynamical Systems (1998)
update (internal id: 17/98)
G. Schneider: Ginzburg-Landau Description of the Taylor-Couette Attractor
submitted to J. Integral and Differential equations (1998)
update (internal id: 16/98)
G. Schneider: Nonlinear Stability of Taylor Vortices in Infinite Cylinders
submitted to Arch. Rat. Mech. Analysis (1998)
update (internal id: 15/98)
G. Schneider, J. Müller: Bifurcation Analysis of a Spatially Extended Random Walk System in Mathematical Biology
submitted to SIAM J. Appl. Math. (1998)
update (internal id: 14/98)
G. Schneider: Global Existence Results for Pattern Forming Processes in Infinite Cylinders
submitted to Math. Pure et Appl. (1998)
update (internal id: 13/98)
B. Sandstede, A. Scheel: Essential Instability of Pulses and Bifurcations to Modulated Travelling Waves
submitted to Proc. Royal Soc. Edinburgh (1998)
update (internal id: 12/98)
A. R. Champneys, J. Härterich: Cascades of Homoclinic Orbits to a Saddle-Centre for Reversible and Perturbed Hamiltonian Systems.
submitted to Nonlinearity (1998)
update (internal id: 11/98)
M. Stiefenhofer: Unfolding Singularly Perturbed Bogdanov Points
submitted to SIAM Journal of Mathematical Analysis (1998)
update (internal id: 10/98)
V.G. Gelfreich: A Proof of the Exponentially Small Transversality of the Separatrices for the Standard Map.
submitted to *** missing *** (1998)
update (internal id: 09/98)
T. Gallay, A. Mielke: Diffusive Mixing of Stable States in the Ginzburg-Landau Equation
submitted to Communications of Mathematical Physic (1998)
update (internal id: 08/98)
Ale Jan Homburg: Inclination Flips in the Unfolding of a Singular Heteroclinic Cycle
submitted to IMA Proceedings (1998)
update (internal id: 07/98)
M. Blank, G. Keller: Random Perturbations of Chaotic Dynamical Systems: Stability of the Spectrum.
submitted to Nonlinearity (1998)
update (internal id: 06/98)
A. Schwarzer: A new class of polynomial preconditioners for large sparse eigenvalue problems.
submitted to SIAM J. Numer. Analysis (1998)
update (internal id: 05/98)
A. Schwarzer: Adaptive scaling of solution branches of one parameter bifurcationproblems.
submitted to Math. of Comp. (K. Böhmer) (1998)
update (internal id: 04/98)
V.V. Chepyzhov, M.A. Efendiev: Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example
submitted to Comm. Pure & Appl. Math. (1998)
update (internal id: 03/98)
M. Rumberger: Finitely differentiable invariants
submitted to Mathematische Zeitschrift (1998)
update (internal id: 02/98)
A. Afendikov, A. Mielke: Bifurcation of homoclinic orbits to a saddle-focus inreversible systems with SO(2)-symmetry
submitted to JDE (1998)
update (internal id: 01/98)
B. Fiedler, A. Scheel, M.I. Vishik: Large patterns of elliptic systems in infinite cylinders.
submitted to J. de Mathmatique Pures et Appliques (1997)
update (internal id: 51/97)
V. Reitmann, U. Schnabel: Hausdorff dimension estimates for invariant sets ofpiecewise smooth maps
submitted to ZAMM (1997)
update (internal id: 50/97)
A. Franz: Lower Hausdorff dimension estimates for k-1-endomorphisms
submitted to Mathematische Nachrichten (1997)
update (internal id: 49/97)
B. Sandstede, A.Scheel, C. Wulff: Bifurcations and dynamics of spiral waves.
submitted to 3rd Nonlinear Science (1997)
update (internal id: 48/97)
A. Bäcker, R. Schubert, P. Stifter: Rate of quantum ergodicity in Euclidean billiards
published in Physical Review E 57 (1998) 5425-5447 (1998)
Keywords: quantum ergodicity matrix elements billiards
update (internal id: 47/97)
H. Alt, A. Bäcker, C. Dembowski, H.-D. Gräf, R. Hofferbert, H. Rehfeld and A. Richter: Mode fluctuation distribution for spectra of superconducting microwave billiards
published in Physical Review E 58 (1998) 1737-1742 (1998)
update (internal id: 46/97)
A.J. Homburg, H. Kokubu, V. Naudot: Homoclinic-doubling cascades.
submitted to Annals of Mathematics (1997)
update (internal id: 45/97)
J.L.M. van Dorsselaer, Ch. Lubich: Inertial manifolds of parabolic differential equations under higher-order discretizations.
submitted to IMA Journal of Numerical Analysis (1997)
update (internal id: 44/97)
M.A. Efendiev, B. Fiedler: Stable upscaling to exothermic reactor with several educts.
submitted to SIAM Journal of Mathematics (1997)
update (internal id: 43/97)
Deuflhard, M. Dellnitz, O. Junge, Ch. Schtte: Computation of Essential Molecular Dynamics by Subdivision Techniques.
submitted to Lecture Notes in Computational Science and Engineering (1997)
update (internal id: 42/97)
M.A. Efendiev, A. Scheel: Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in Rn.
submitted to J. Nonlinearity (1997)
update (internal id: 41/97)
Nikolai N. Nefedov, Klaus R. Schneider: Immediate exchange of stabilities in singularly perturbed systems.
submitted to Journal of Differential and Integral Equations (1997)
update (internal id: 40/97)
Cheng-Hung Chang, Dieter H. Mayer: The period function of the nonholomorphic Eisenstein series for PSL(2,Z).
published in Math. Phys. Elec. J. 4(6) (1998)
Keywords: Period polynomials and functions, Lewis transformation, Eisenstein series, transfer operator
update (internal id: 39/97)
Astrid Franz: Hausdorff dimension estimates for invariant sets with an equivariant tangent bundle splitting.
submitted to Nonlinearity (1997)
update (internal id: 38/97)
Mariana Haragus-Courcelle, Andrej Il'ichev: Three Dimensional Solitary Waves in the Presence of Additional Surface Effects.
submitted to Europ. J. Mech. B/Fluids (1997)
update (internal id: 37/97)
D. Peterhof, B. Sandstede: All-optical clock recovery using multi-section distributed-feedback lasers.
update (internal id: 36/97)
A. Mielke, P. Holmes, J.N. Kutz: Global existence and uniqueness for an optical fiber laser model.
update (internal id: 35/97)
M. Kunze: Instability of the Periodic Motion of a Particle Interacting with a Scalar Wave Field.
published in Comm. Math. Phys. 195, 509-523 (1998)
update (internal id: 34/97)
A. Scheel: Bifurcation to spiral waves in reaction-diffusion systems.
update (internal id: 33/97)
G. A. Leonov, A. Noack, V. Reitmann: Orbital Stability Conditions for Vector Fields by Estimating the Characteristic Exponents.
update (internal id: 32/97)
J. Härterich: Equilibrium solutions of viscous scalar balance laws with a convex flux
submitted to NoDEA (1997)
update (internal id: 31/97)
K. Matthies: A subshift of finite type in the Bogdanov-Takens bifurcation with D_3 symmetry
submitted to Nonlinearity (1997)
update (internal id: 30/97)
T. Kapitula, B. Sandstede: Stability of bright solitary-wave solutions to perturbed nonlinear Schroedinger equations
to appear in Physica D. (1997)
update (internal id: 29/97)
K. Böhmer, C. Geiger, J.D. Rodriguez: On a Numerical Liapunov-Schmidt Spectral Method Part II: The Reduction Method and its Application
submitted to Math. of Computation (1997)
update (internal id: 28/97)
J. Härterich: Attractors of viscous balance laws: Uniform estimates for the dimension
submitted to J. Diff. Eq. (1997)
update (internal id: 27/97)
A. Bäcker, R. Schubert, P. Stifter: On the number of bouncing ball modes in billiards
published in J. Phys. A. 30, 6783-6795 (1997)
Keywords: eigenfunctions Laplacian billiard quantum ergodicity
update (internal id: 26/97)
A. Bäcker, N. Chernov: Generating partitions for two-dimensional hyperbolic maps
published in Nonlinearity 11, 79-87 (1998)
Keywords: coding partition symbolic dynamics billiard
update (internal id: 25/97)
R. Aurich, A. Bäcker, F. Steiner: Mode Fluctuations as Fingerprints of Chaotic and Non-Chaotic Systems
published in Int. J. Mod. Phys. B 11, 805-849 (1997)
Keywords: eigenvalue statistics quantum chaos
update (internal id: 24/97)
A. Bäcker, H.R. Dullin: Symbolic Dynamics and Periodic Orbits for the Cardioid Billiard
published in J. Phys. A. 30, 1991-2020 (1997)
Keywords: pruning coding partition entropy
update (internal id: 23/97)
L. Grüne, M. Metscher, M. Ohlberger: On Numerical Algorithm and Interactive Visualization for Optimal Control Problems
published in Computing and Visualization in Science 1, No. 4, 221-229 (1999)
update (internal id: 22/97)
A. Scheel: Subcritical bifurcation to infinitely many rotating waves
update (internal id: 21/97)
M. Haragus-Courcelle, G. Schneider: Bifurcating fronts for the Taylor-Couette problem in infinite cylinders
update (internal id: 20/97)
J. Müller, Th. Hillen: Modulation Equations and Parabolic Limits of Reaction Random Walk Systems
update (internal id: 19/97)
Stefan Grünvogel: The Lyapunov Spectrum of Blockdiagonal Semilinear Control Systems
to appear in Journal of Dynamics and Differential Equations (1997)
update (internal id: 18/97)
Lars Grüne: On the relation between discounted and average time optimal controlproblems
published in Journal of Differential Equations 148, 65-99 (1998)
update (internal id: 17/97)
Lars Grüne: A uniform exponential spectrum for linear flows on vector bundles
to appear in Journal of Dynamics and Differential Equations (2000)
update (internal id: 16/97)
W.-J. Beyn, M. Stiefenhofer: A direct approach to homoclinic orbits in the fast dynamics of singularly perturbed systems
published in Journal of Dynamics and Differential Equations 11, 671-704 (1999)
update (internal id: 15/97)
B. Fiedler, D. Turaev: Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions
published in Arch. Rat. Mech. Analysis (1997)
update (internal id: 14/97)
J. Schmeling, S. Troubetzkoy: Pointwise dimension for regular hyperbolic measures for endomorphisms.
update (internal id: 13/97)
R. Braun, F. Feudel and N. Seehafer: Bifurcations and Chaos in an Array of Forced Vortices
published in Phys. Rev. E 55, 6979-6984 (1997)
update (internal id: 12/97)
M. Dellnitz, O. Junge: Almost Invariant Sets in Chuas Circuit.
accepted by International Journal of Bifurcation and Chaos (1997)
update (internal id: 11/97)
B. Werner: Discretization of circle maps
accepted by Journal of Computational and Applied Mathematics (1997)
update (internal id: 10/97)
K. int Hout, Ch. Lubich: Periodic orbits of delay differential equations under discretization
accepted by BIT Numerical Mathematics (1997)
update (internal id: 9/97)
Ch. Lubich, A. Ostermann: Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization
accepted by Numerische Mathematik (1997)
update (internal id: 8/97)
B. Fiedler, M. Belhaq, M. Houssni: Basins of attraction in strongly damped coupled mechanical oscillators: a global example.
update (internal id: 7/97)
H.G. Bothe: Strange attractors with topologically simple basins.
accepted by Topology and its Applications (1997)
update (internal id: 6/97)
B. Fiedler, T. Gedeon: A Lyapunov function for tridiagonal competitive-cooperative systems
accepted by SIAM 3. Math Analysis (1997)
update (internal id: 5/97)
B. Fiedler, T. Gedeon: A class of convergent neural network dynamics
accepted by Physica D. (1997)
update (internal id: 4/97)
J. Müller, K.P. Hadeler: Variable infectivity in sexually transmitted diseases
accepted by SIAM J. Appl. Math. (1997)
update (internal id: 3/97)
J. Müller: Optimal Vaccination Patterns in Age Structured Population: Endemic Case
accepted by Proceedings of the "Conference on Dynamical Systems in Biology and Medicine" (1997)
update (internal id: 2/97)
Johannes Müller, K.P. Hadeler: Variable infectivity in sexually transmitted diseases
submitted to SIAM J. Appl. Math. (1997)
update (internal id: 2/97)
O. Schmidtmann, F. Feudel, N. Seehafer: Nonlinear Galerkin Methods for the 3D Magnetohydrodynamic Equations
published in Int. J. Bif. and Chaos 7, 1493-1507 (1997)
update (internal id: 1/97)
M. Haragus-Curcelle, D. Sattinger: Inversion of the linearized Korteweg-de Vries equation at the multi-solitons solutions
update (internal id: 66/96)
M. Dellnitz, O. Junge: Adaptive Box Refinement in Subdevision Techniques for the Approximation of Dynamical Behavior
update (internal id: 65/96)
V. A. Boichenko, G. A. Leonov, A. Mirle, V. Reitmann: Hausdorff and Fractal Dimension Estimates of Invariant Sets of Non Injective Maps
accepted by ZAA Leipzig (1998)
Keywords: Riemannian manifolds, dynamical systems
update (internal id: 64/96)
B. Sandstede, A. Scheel, C. Wulff: Dynamics of spiral waves on unbounded domains using center-manifold reductions
update (internal id: 63/96)
M. Dellnitz, O. Junge: On the Approximation of Complicated Dynamical Behavior
preprint (1996)
Keywords: invariant measure SBR-measure Frobenius-Perron operator cyclic behavior
update (internal id: 62/96)
M. Stiefenhofer: Singular perturbation with limit points in the fast dynamics
update (internal id: 61/96)
C-H Chang, D. Mayer: The transfer Operator Approach to Selberg's Zeta Function and Modular and Maass Wave Forms For PSL(2,7)
published in IMA Proceedings Minneapolis, vol. 109 (1999)
Keywords: Selberg zeta function, transfer operator, automorphic functions and forms, Maass wave forms
update (internal id: 60/96)
M. Stiefenhofer: Singular perturbation with Hopf points in the fast dynamics
update (internal id: 59/96)
A. Mielke: Instability and stability of rolls in the Swift-Hohenberg equation
update (internal id: 58/96)
A.J. Homburg, D. Sands, R. de Vilder: Computing Invariant Sets.
update (internal id: 57/96)
G. Keller, H. Bruin: Equilibrium States For S-Unimodal Maps.
update (internal id: 56/96)
B. Fiedler, B. Sandstede, A. Scheel, C. Wulff: Bifurcation From Relative Equilibria of Noncompact Group Actions: Skew Products, Meanders, and Drifts.
preprint FU Berlin (1996)
update (internal id: 55/96)
Ch. Lubich, A. Ostermann: Runge-Kutta Time Discretization of Reaction-Diffusion and Navier-Stokes Equations: Nonsmooth-Data Error Estimates and Applications to Long-Time Behaviour.
update (internal id: 54/96)
B. Lani-Wayda: Erratic Solutions of a Simple Delay Equation.
update (internal id: 53/96)
D. Peterhof, B. Sandstede, A. Scheel: Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders.
update (internal id: 52/96)
M. Kunze, T. Küpper, J. You: On the Application of KAM Theory to Discontinuous Dynamical Systems
published in J. Differential Equations 139, 1-21 (1997)
update (internal id: 51/96)
W.-J. Beyn, T. Göke: A Note on the Hopf Stability Formula under Nonresonance Conditions.
Keywords: Hopf bifurcation, stability formula, nonresonance condition, numerical algorithm
update (internal id: 50/96)
J. Batt, M. Kunze, G. Rein: On the Asymptotic Behaviour of a One-Dimensional, Monocharged Plasma and a Rescaling Method.
published in Advances in Differential Equations 3, 271-292 (1998)
update (internal id: 49/96)
St.-M. Heinemann: A Note on the Dynamics of Homogeneous Maps.
update (internal id: 48/96)
M. Dellnitz, A. Hohmann, O. Junge, M. Rumpf: Exploring Invariant Sets and Invariant Measures.
update (internal id: 47/96)
K.P. Hadeler, P. van der Driessche: Backward Bifurcation in Epidemic Control.
update (internal id: 46/96)
J. Hettel: Nonlinear Incidence Functions Generate Takens-Bogdanov Singularities.
update (internal id: 45/96)
J. Müller: A Ginzburg-Landau-Like Approach to Homogeneous Reaction-Diffusion Systems and Applications to Epidemics.
update (internal id: 44/96)
L. Barreira, Y. Pesin, J. Schmeling: Dimension of Hyperbolic Measures - a Proof of the Eckmann-Ruelle Conjecture.
update (internal id: 43/96)
A. Komech, H. Spohn, M. Kunze: Long-Time Asymptotics for a Classical Particle Interacting with a Scalar Wave Field.
published in Comm. Part. Diff. Equ. 22, 307-335 (1997)
update (internal id: 42/96)
K. Böhmer, C. Geiger, R. Rodriguez: On a Numerical Liapunov-Schmidt Spectral Method Part I: Review of Spectral Methods Continuous Symmetries.
preprint (1996)
Keywords: Spectral Methods, Higher Singularities, Numerical Liapunov Schmidt, Symmetries
update (internal id: 41/96)
C. Geiger, R. Rodriguez, G. Dangelmayr: Empirical Eigenfunctions for 0(3)-Equivariant Evolution Equations.
update (internal id: 40/96)
A.J. Homburg: Piecewise smooth one dimensional maps with nowhere vanishing derivative.
update (internal id: 39/96)
B. Fiedler, A. Schuppert, M. Efendiev: Thermally stable upscaling of a model exothermic reactor.
update (internal id: 38/96)
K. Deckelnick: Weak solutions of the curve shortening flow.
update (internal id: 37/96)
F. Guyard, R. Lauterbach: Forced symmetry breaking perturbations for periodic solutions.
update (internal id: 36/96)
R.-T. Happe, K. Polthier, M. Rumpf, M. Wierse: Visualizing Data from Time-Dependent Adaptive Simulations.
update (internal id: 35/96)
R.-T. Happe, M. Rumpf: Characterizing Global Features of Simulation Data by Selected Local Icons.
update (internal id: 34/96)
C. Geiger, J.D. Rodriquez, G. Dangelmayr: Near-Onset Convection Patterns in the Spherical Benard Problem with 1=2 Critical.
preprint (1996)
Keywords: convection, Boussinesq-equations, spherical shell, equivariant bifurcations, O(3)-symmetry
update (internal id: 33/96)
A. Schmidt: Computation of Three Dimensional Dendrites Finite Elements.
published in J. Comput. Phys. 125, 293-312 (1996)
Keywords: Finite elements, Stefan problem, Phase transitions
update (internal id: 32/96)
A. Veeser: Mean Curvature Flow of Graphs with a Driving Force.
update (internal id: 31/96)
H.G. Bothe: Shift Spaces and Attractors in Non Invertible Horse Shoes.
update (internal id: 30/96)
J. Schmeling: A Dimension Formula for Endomorphisms - the Belykh Family.
update (internal id: 29/96)
G. Schneider: Hopf-Bifurcation in Spatially Extended Reaction-Diffusion Systems.
update (internal id: 28/96)
A. Mielke: The Complex-Ginzburg-Landau Equation on Large and Unbounded Domains.
update (internal id: 27/96)
B. Schoenfisch, K.-P. Hadeler: Dimer Automata and Cellular Automata.
update (internal id: 26/96)
J. Müller: Optimal Vaccination Patterns in the Age Structured Populations: Endemic Case
accepted by Proceedings of the 'Conference on Dynamical Systems in Biology and Medicine' and as special issue in 'Mathematical and Computer Modelling' (1996)
update (internal id: 25/96)
J. Schmeling: Ergodic and Dimension Theory of Hyperbolic Endomorphisms with Singularities.
update (internal id: 24/96)
C. Leis: Hopf-Bifurcation in Systems with Spherical Symmetry: Invariant Tori and Connecting Orbits.
preprint FU Berlin (1996)
update (internal id: 23/96)
N. Seehafer, F. Feudel , O. Schmidtmann: Nonlinear Dynamo with ABC Forcing.
update (internal id: 22/96)
O. Schmidtmann, F. Feudel, N. Seehafer: Determining Modes and Approximate Intertial Manifolds for the Magnetohydrodynamic Equations.
update (internal id: 21/96)
O. Schmidtmann: Modelling of the Interaction of Lower and Higher Modes in Two-Dimensional MHD Equation.
published in Nonlinear Analysis, Theory, Methods and Applications 26, 41-54 (1996)
update (internal id: 20/96)
P. Deuflhard, P. Heroth: Dynamic Dimension Reduction in ODE Models.
update (internal id: 19/96)
K. Böhmer, Goevaerts, Janovsky: Numerical Detection of Symmetry Breaking Bifurcation Points with Nonlinear Degeneracies.
update (internal id: 18/96)
M. Blank, G. Keller: Stochastic stability versus localization in chaotic dynamical systems.
update (internal id: 17/96)
G. Dangelmayr, B. Fiedler, K. Kirchgässner, A. Mielke: Dynamics of Nonlinear Waves in Dissipative Systems: Reduction, Bifurcation, and Stability.
update (internal id: 16/96)
M.A. Efendiev, B.Fiedler, A. Schuppert: Upscaling of Some Exothermic Reactions from Chemical Industry.
accepted by ICIAM-95. Hamburg. Session 'Chemical Industry' (1996)
update (internal id: 15/96)
B. Fiedler, C. Rocha: Orbit Equivalence of Global Attractors of Semilinear Parabolic Differential Equations.
preprint FU Berlin (1996)
update (internal id: 14/96)
B. Fiedler: Do Global Attractors Depend on Boundary Conditions?
submitted to Doc. Math., Nr. 1, 215-228 (1996)
update (internal id: 13/96)
H.-P. Kruse, J. Scheurle: On the Bifurcation and Stability of Rigidly Rotating Inviscid Liquid Bridges.
update (internal id: 12/96)
E. Allgower, K.Böhmer, A. Hoy, V. Janowsky: On a Class of Direct Methods for Solving Singular Nonlinear Equations.
update (internal id: 11/96)
P. Chossat, M. Krupa, I. Melbourne, A. Scheel: Transverse Bifurcations of Homoclinic Cycles and the Weak-Field Magnetic Dynamo Problem.
accepted by Physica D. (1995)
update (internal id: 10/96)
Z. Mei, A. Schwarzer: Scaling Solution Branches of One-Parameter Bifurcation Problems.
update (internal id: 09/96)
P. Ashwin, Z. Mei: A Numerical Bifurcation Function for Homoclinic Orbits.
update (internal id: 08/96)
K. Böhmer, D. Janovska, V. Janovsky: Computer Aided Analysis of Imperfect Bifurcation Diagram.
update (internal id: 07/96)
W. Kleß, W.-J. Beyn: Numerical Taylor Expansions of Invariant Manifolds in Large Dynamical Systems.
published in Numerische Mathematik, vol. 80, (1998), no. 1, p. 1--38 (1996)
Keywords: Invariant manifolds, numerical methods, higher order approximation, large dynamical systems
update (internal id: 06/96)
Y.-K. Zou, W.-J. Beyn: Discretizations of Dynamical Systems with a Saddle-Node Homoclinic Orbit.
published in Discrete and Continuous Dynamical Systems, Volume 2, Number 3 (1996)
Keywords: Homoclinic orbits, saddle-node, one-step methods, discrete homoclinic orbits
update (internal id: 05/96)
C. Bandt, A. Seib: Random Walks Interacting with the Environment.
update (internal id: 04/96)
C. Bandt, F. Kriese: Edge Processes - A Simple and General Version of Interacting Particle Systems.
Keywords: edge:particle:systems
update (internal id: 03/96)
C. Bandt: Random Self-Similarity I. Scale-Invariance of Random Sets.
Keywords: sets:invariance:stochastic
update (internal id: 02/96)
A. Mielke: Analysis of Sideband Instabilities with Application to Rayleigh-Bénard Convection.
Keywords: homoclin:convergence:approximation:numeric
update (internal id: 34/95)
M. Kunze, B. Michaeli: On the Rigorous Applicability of Osedelets' Ergodic Theorem to Obtain Lyapunov Exponents for Non-Smooth Dynamical Systems
to appear in Proc. Conference Differential Equations, Marrakesh (1995)
update (internal id: 33/95)
L. Grüne: Discrete Feedback Stabilization of Semilinear Control Systems.
published in ESAIM: Control, Optimisation and Calculus of Variations, 1, 207-224 (1996)
update (internal id: 32/95)
L. Grüne: An Adaptive Grid Scheme for the Discrete Hamilton-Jacobi-Bellman Equation.
published in Numerische Mathematik, 75, 319-337 (1997)
update (internal id: 31/95)
N.D. Cong, V.I. Oseledets: Topological Invariants of Linear Cocycles of an Ergodic Map.
update (internal id: 30/95)
St.-M. Heinemann: Jordan Tori as Julia Sets in C^2.
update (internal id: 29/95)
M. Haragus, K. Kirchgässner: Breaking the Dimension of Solitary Waves.
update (internal id: 28/95)
A.J. Homburg: Heteroclinic Bifurcations of Omega-Stable Vector Fields on 3-Manifolds.
update (internal id: 27/95)
B. Fiedler, D. Turaev: Coalescence of Reversible Homoclinic Orbits Causes Elliptic Resonance.
update (internal id: 26/95)
A. Mirle: Hausdorff Dimension Estimates for Invariant Sets of k-1-maps.
update (internal id: 25/95)
M. Kunze, T. Küpper: Qualitative Bifurcation Analysis of a Non-Smooth Friction-Oscillator Model
published in Zeitschr. Angew. Math. Phys. (ZAMP) 48, 87-101 (1997)
update (internal id: 24/95)
H.-O. Walther: Stable Sets of Periodic Solutions of a Delay Differential Equation.
update (internal id: 23/95)
M. Rumberger, J. Scheurle: Invariant C^j Functions and Center Manifold Reduction.
update (internal id: 22/95)
G. Keller: A Note on Strange Nonchaotic Attractors.
update (internal id: 21/95)
M. Haragus: Model Equations for Water Waves in the Presence of Surface Tensions.
update (internal id: 20/95)
M. Haragus, K. Kirchgässner: Breaking the Dimension of a Steady Wave: Some Examples.
update (internal id: 19/95)
H. Bruin, G. Keller, M. St. Pierre: Adding Machines and Wild Attractors.
update (internal id: 18/95)
G. Friesecke, J.B. McLeod: Dynamic Stability of Nonminimizing Phase Mixtures.
update (internal id: 17/95)
G. Friesecke, G. Dolzmann: Implicit Time Discretization and Global Existence for a Quasi-Linear Evolution Equation with Nonconvex Energy.
update (internal id: 16/95)
M. Dellnitz, A. Hohmann: The Computation of Unstable Manifolds using Subdivision and Continuation.
update (internal id: 15/95)
St.-M. Heinemann: Julia sets for holomorphic endomorphisms of C^n.
update (internal id: 14/95)
A. Noack: Hausdorff Dimension Estimates for Time-Discrete Feedback Control Systems.
update (internal id: 13/95)
F. Colonius, G. Haeckl, W. Kliemann: Dynamic Reliability of Nonlinear Systems under Random Excitation.
update (internal id: 12/95)
H.-G. Bothe: How 1-Dimensional Hyperbolic Attractors Determine their Basins.
update (internal id: 11/95)
A. Noack, V. Reitmann: Hausdorff Dimension of Invariant Sets of Time-Depending Vector Fields.
update (internal id: 10/95)
V. Reitmann, J. Lembcke: Compound Matrices and Hausdorff Dimension Estimates.
update (internal id: 09/95)
M. Mielke, G. Schneider: Attractors for Modulation Equations on Unbounded Domains of Existence and Comparison.
update (internal id: 08/95)
N. Koksch: Existence of Overflowing Invariant Manifolds.
update (internal id: 07/95)
P. Ashton, M. Dellnitz: Symmetry Breaking Bifurcations of Chaotic Attractors.
update (internal id: 06/95)
M. Dellnitz, I. Melbourne: A Note on Shadowing Lemma and Symmetric Periodic Points.
update (internal id: 05/95)
M. Dellnitz, M. Golubitsky, A. Hohmann, I. Stewart: Spirals in Scalar Reaction- Diffusion Equations.
update (internal id: 04/95)
M. Dellnitz, C. Heinrich: Admissible Symmetry Increasing Bifurcations.
update (internal id: 03/95)
M. Dellnitz, A. Hohmann: A Subdivision Algorithm for the Computation of Unstable Manifolds and Global Attractors.
update (internal id: 02/95)
E. Behrends, B. Fiedler: Periods of Discretized Linear Anosov Maps.
update (internal id: 01/95)