Prof. Dr. Bernold Fiedler
Research interests
- Global bifurcation
- Global attractors
- Symmetry breaking and pattern formation
- Quantitative homogenization
- Bifurcations without parameters
- Delayed feedback control
- Gene regulatory networks
- General relativity and mathematical physics
- Industrial chemical reactors
|
Address: |
Freie Universität Berlin
Institut für Mathematik
Arnimallee 3
D - 14195 Berlin
|
Office: |
134, Arnimallee 7, rear building |
Phone: |
+ 49 - 30 - 838 75411 |
E-mail: |
fiedler at math.fu-berlin.de
(replace the "at" by a @) |
Preprints and Publications (pdf )
- B. Fiedler
-
Ein Räuber-Beute System mit zwei time-lags
Diploma Thesis, Heidelberg, 1980.
- B. Fiedler
-
Stabilitätswechsel und globale Hopf-Verzweigung
PhD Thesis, Heidelberg, 1983
- B. Fiedler
-
Global Hopf bifurcation in porous catalysts
in Equadiff 82, Knobloch & Schmitt (eds.), Lect. Notes Math. 1017, Springer-Verlag, Berlin 1983, 177-183.
- B. Fiedler
-
An index for global Hopf bifurcation in parabolic systems
J. reine angew. Math. 359(1985), 1-36.
- B. Fiedler
-
Multiplicity-induced oscillations in porous catalysts
in Temporal Order, Rensing & Jäger (eds.)
Springer-Verlag, Berlin 1985, 57-58.
- A.J. Bremermann, B. Fiedler
-
On the stability of polymorphic host-pathogen populations
J. Theor. Biology 117(1985), 621-631.
- B. Fiedler
-
Global Hopf bifurcation for Volterra integral equations
SIAM J. Math. Analysis 17(1986), 911-932.
- P. Brunovsky, B. Fiedler
-
Simplicity of zeros in scalar parabolic equations
J. Diff. Eq. 62(1986), 237-241.
- P. Brunovsky, B. Fiedler
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Numbers of zeros on invariant manifolds in reaction diffusion equations
Nonlin. Analysis TMA 10(1986), 179-194.
- B. Fiedler
-
Global Hopf bifurcation of two parameter flows
Arch. Rational Mech. Analysis 94(1986), 59-81.
- P. Brunovsky, B. Fiedler
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Connecting orbits in scalar reaction diffusion equations with Neumann boundary conditions
Equadiff 6, Vosmansky & Zlamal (eds.)
Lect. Notes Math. 1192, Springer-Verlag, Berlin 1986, 123-128.
- B. Fiedler, A. Vanderbauwhede (eds.)
-
Symmetry and Dynamics
Workshop Heidelberg 1986, SFB 123, preprint 400.
- P. Deuflhard, B. Fiedler, P. Kunkel
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Efficient numerical pathfollowing beyond critical points
SIAM J. Numer. Analysis 24(1987), 912-927.
- B. Fiedler
-
Heteroclinic connections of stationary solutions of scalar reaction diffusion equations
in Partial Differential Equations, Banach Center Publ. vol. 19, Bojarski (ed.) Warszawa 1987, 39-47.
- P. Deuflhard, B. Fiedler, P. Kunkel
-
Efficient numerical pathfollowing beyond critical points in ODE models
in Large Scale Scientific Computing, Deuflhard & Engquist (eds.), Birkhäuser, Boston 1987, 97-113.
- B. Fiedler
-
Global Hopf bifurcation in reaction diffusion systems with symmetry
in Dynamics of Infinite Dimensional Systems, Chow & Hale (eds.)
Springer-Verlag, Berlin 1987, 81-104.
- B. Fiedler, P. Kunkel
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Multistability, scaling, and oscillations
in Complex Chemical Reaction Systems, Warnatz & Jäger (eds.)
Springer-Verlag, Heidelberg 1987, 169-180.
- B. Fiedler, P. Kunkel
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A quick multiparameter test for periodic solutions
in Bifurcation: Analysis, Algorithms, Applications, Küpper & Seydel & Troger (eds.)
Birkhäuser Verlag, Basel 1987, 61-70.
- P. Brunovsky, B. Fiedler
-
Connecting orbits in scalar reaction diffusion equations
Dynamics Reported 1(1988), 57-89.
- S. Angenent, B. Fiedler
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The dynamics of rotating waves in scalar reaction diffusion equations
Trans. AMS 307(1988), 545-568.
(journal, pdf)
- B. Fiedler
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Global Bifurcation of Periodic Solutions with Symmetry
Lect. Notes Math. 1309, Springer-Verlag, Heidelberg 1988.
- B. Fiedler, J. Mallet-Paret
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Connections between Morse sets for delay-differential equations
J. reine angew. Math. 397(1989), 23-41.
- J.C. Alexander, B. Fiedler
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Global decoupling of coupled symmetric oscillators
in Differential Equations, Dafermos & Ladas & Papanicolaou (eds.)
Marcel Dekker Inc., New York 1989, 7-16.
- B. Fiedler
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Discrete Ljapunov functionals and w-limit sets
Math. Modelling Numer. Analysis 23(1989), 415-431.
- B. Fiedler, J. Mallet-Paret
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The Poincare-Bendixson theorem for scalar reaction diffusion equations
Arch. Rational Mech. Analysis 107(1989), 325-345.
- P. Brunovsky, B. Fiedler
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Connecting orbits in scalar reaction diffusion equations II: the complete solution
J. Diff. Eq. 81(1989), 106-135.
- S.-N. Chow, B. Deng, B. Fiedler
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Homoclinic bifurcation at resonant eigen-values
J. Dynamics and Diff. Eq. 2 (1990), 177-244.
- B. Fiedler, P. Polacik
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Complicated dynamics of one-dimensional reaction diffusion equations with a non-local term
Proc. Royal Soc. Edinburgh 115A(1990), 167-192.
- A. Schuppert, B. Fiedler
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Thermisch stabiles Upscaling exothermer Reaktionen
Technical Report, Hoechst AG 1991.
- B. Fiedler, K. Mischaikow
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Dynamics of bifurcations for variational problems with O(3) equivariance:
a Conley index approach
Arch. Rat. Mech. Anal. 119(1992), 145-196.
- A. Vanderbauwhede, B. Fiedler
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Homoclinic period blow-up in reversible and conservative systems
Z. angew. Math. Phys. 43(1992), 292-318.
- B. Sandstede, B. Fiedler
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Dynamics of periodically forced parabolic equations on the circle
J. Erg. Th. Dyn. Syst. 12(1992), 559-571.
- B. Fiedler
-
Global attractors of one-dimensional parabolic equations: sixteen examples
Tatra Mountains Math. Publ. 4(1994), 67-92.
- B. Fiedler, J. Scheurle
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Discretization of Homoclinic Orbits and Invisible Chaos
Memoirs Amer. Math. Soc. 570, 1996.
- G. Dangelmayr, B. Fiedler, K. Kirchgässner, A. Mielke
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Dynamics of Nonlinear Waves in Dissipative Systems: Reduction, Bifurcation, and Stability
Pitman Res. Notes Math., Addison Wesley, 352, 1996.
- B. Fiedler
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Global pathfollowing of homoclinic orbits in two-parameter flows
Pitman Res. Notes Math. 352 (1996), 79-146
(gziped postscript, 784 kB)
(pdf, 812 kB)
- B. Fiedler, S. Heinze
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Homotopy invariants of time reversible periodic orbits I: Theory
J. Diff. Eq. 126(1996), 184-203.
- B. Fiedler, S. Heinze
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Homotopy invariants of time reversible periodic orbits II: Applications
J. Diff. Eq. 126(1996), 204-223.
- C. Rocha, B. Fiedler
-
Heteroclinic orbits of semilinear parabolic equations
J. Diff. Eq. 125(1996), 239-281.
(gziped postscript, 452 kB)
(pdf, 324 kB)
- B. Fiedler, D. Turaev
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Coalescence of reversible homoclinic orbits causes elliptic resonance
Int. J. Bif. Chaos, 6(1996), 1007-1027.
(gziped postscript, 288 kB)
(pdf, 252 kB)
- B. Fiedler
-
Do global attractors depend on boundary conditions?
Doc. Math. J. DMV 1(1996), 215-228.
- M. Efendiev, B. Fiedler, A. Schuppert
-
Upscaling of some exothermic reactions from chemical industry
Z. Angew. Math. Mech. 76(1996) 153-156.
- B. Fiedler, B. Sandstede, A. Scheel, C. Wulff
-
Bifurcation from relative equilibria of noncompact group actions:
Skew products, meanders, and drifts
Doc. Math. J. DMV 1(1996), 479-505.
- B. Fiedler, A. Schuppert, M. Efendiev
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Thermisch stabiles Upscaling einer exothermen Modellreaktion
in Mathematik: Schlüsseltechnologie für die Zukunft,
Hoffmann & Jäger & Lohmann & Schunck (eds.)
Springer-Verlag, Heidelberg, 1997, 83-90.
- B. Fiedler, C. Rocha
-
Orbit equivalence of global attractors of semilinear parabolic differential equations
Trans. Amer. Math. Soc. 352(2000), 257-284.
(gziped postscript, 336 kB)
(pdf, 284 kB)
- E. Behrends, B. Fiedler
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Periods of discretized linear Anosov maps
Erg. Th. Dyn. Syst. 18(1998), 331-341.
(gziped postscript, 136 kB)
(pdf, 156 kB)
- B. Fiedler, T. Gedeon
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A class of convergent neural network dynamics
Physica D 111(1998), 288-294.
(gziped postscript, 472 kB)
(pdf, 164 kB)
- B. Fiedler, T. Gedeon
-
A Lyapunov function for tridiagonal competitive-cooperative systems
SIAM J. Math. Analysis 30 (1999), 469-478.
(gziped postscript, 640 kB)
(pdf, 172 kB)
- B. Fiedler, M. Belhaq, M. Houssni
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Basins of attraction in strongly damped coupled mechanical oscillators: a global example
Z. Angew. Math. Phys. 50 (1999), 282-300 .
(gziped postscript, 640 kB)
(pdf, 236 kB)
- M.A. Efendiev, B. Fiedler
-
Stable upscaling of exothermic reactor with several educts
Proc. Int. Symposium ,,Untersuchung nichtlinear-dynamischer Effekte in
produktionstechnischen Systemen'' 1998, to appear.
- B. Fiedler, D. Turaev
-
Normal forms, resonances, and meandering tip motions near relative equilibria of
Euclidean group actions
Arch. Rational Mech. Analysis 145 (1998), 129-159.
(gziped postscript, 256 kB)
(pdf, 464 kB)
- B. Fiedler, A. Scheel, M. I. Vishik
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Large patterns of elliptic systems in infinite cylinders
J. Math. Pures Appl. 77 (1998), 879-907.
(gziped postscript, 108 kB)
(pdf, 320 kB)
- B. Fiedler, S. Liebscher, J.C. Alexander
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Generic Hopf bifurcation from lines of equilibria without parameters: I. Theory
J. Diff. Eq. 167 (2000), 16-35.
(gziped postscript, 238 kB)
(postscript, 2.0 MB)
(pdf, 2.6 MB)
- B. Fiedler, S. Liebscher
-
Generic Hopf bifurcation from lines of equilibria without parameters:
II. Systems of viscous hyperbolic balance laws
SIAM J. Math. Analysis 31 (2000), 1396-1404.
(gziped postscript, 209 kB)
(postscript, 1.9 MB)
(pdf, 2.5 MB)
- B. Fiedler, S. Liebscher, J.C. Alexander
-
Generic Hopf bifurcation from lines of equilibria without parameters:
III. Binary Oscillations
Int. J. Bif. Chaos 10 (2000), 1613-1622.
(gziped postscript, 210 kB)
(postscript, 1.9 MB)
(pdf, 2.5 MB)
- M. Belhaq, B. Fiedler, F. Lakrad
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Homoclinic connections in strongly self-excited nonlinear oscillators:
the Melnikov function and the elliptic Lindstedt-Poincaré method
Nonlinear Dynamics 23 (2000), 67-86.
- C. Rocha, B. Fiedler
-
Realization of meander permutations by boundary value problems
J. Diff. Eq. 156 (1999), 282-308.
(gziped postscript, 104 kB)
(pdf, 240 kB)
- B. Fiedler, R.-M. Mantel
-
Crossover collisions of scroll wave filaments
Doc. Math. 5 (2000), 695-731.
(gziped postscript, 700 kB)
(pdf, 21696 kB)
- B. Fiedler, M.I. Vishik
-
Quantitative homogenization of analytic semigroups and
reaction-diffusion equations with Diophantine spatial frequencies
Advances in Differential Equations 6 (2001), 1377-1408.
(gziped postscript, 808 kB)
(pdf, 1092 kB)
- B. Fiedler, M.I.Vishik
-
Quantitative homogenization of global attractors for
reaction-diffusion systems with rapidly oscillating terms
Asympt. Analysis 34 (2003), 159-185.
(gziped postscript, 132 kB)
(pdf, 328 kB)
- B. Fiedler, K. Gröger, J. Sprekels (eds.)
-
Equadiff 99, Proceedings of the International Conference on Differential
Equations.
Berlin 1999, vol. I and II, World Scientific Publishers, Singapore 2000, 1487 p.
- B. Fiedler (ed.)
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Handbook of Dynamical Systems II.
Elsevier, Amsterdam, 2002, 1086 p.
- B. Fiedler (ed.)
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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems.
Springer-Verlag, Heidelberg, 2001, 820 p.
- B. Fiedler, S. Liebscher
-
Takens-Bogdanov bifurcations without parameters,
and oscillatory shock profiles.
In H. Broer, B. Krauskopf, G. Vegter, editors,
Global Analysis of Dynamical Systems, Festschrift dedicated to
Floris Takens for his 60th birthday.
IOP, Bristol, 2001, pp. 211-259.
(gziped postscript, 757 kB)
(pdf, 4550 kB)
- B. Fiedler, C. Rocha, D. Salazar, J. Solà-Morales
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Dynamics of piecewise-autonomous bistable parabolic equations.
In Differential Equations and Dynamical Systems, A.
Galves, J.K. Hale, C. Rocha (eds.), Fields Institute Communications 31, 2002, 151-163.
(gziped postscript, 932 kB)
(pdf, 376 kB)
- B. Fiedler, M. Vishik
-
Quantitative homogenization of global attractors of damped hyperbolic wave equations with
spatially rapidly oscillating coefficients.
Russ. Math. Surv. 57 (2003), 709-728.
(postscript, 254 kB)
(pdf, 187 kB)
- B. Fiedler, A. Scheel
-
Dynamics of Reaction-Diffusion Patterns.
In Trends in Nonlinear Analysis, Festschrift dedicated to Willi Jäger
for his 60th birthday, M. Kirkilionis, R. Rannacher, F. Tomi (eds.), Springer-Verlag,
Heidelberg, 2003, 23-152.
(gziped postscript, 9.4 MB)
(pdf, 3.3 MB)
- B. Fiedler, C. Rocha, M. Wolfrum
-
Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle.
J. Differential Equations 201 (2004), 99-138.
Weierstrass-Institute
preprint 832
- B. Fiedler, S. Liebscher
-
Bifurcations without parameters: Some ODE and PDE examples.
T.-T. Li et al. (eds.), Proc. International Congress of Mathematicians, ICM 2002,
Vol. III: Invited Lectures. Higher Education Press, Beijing, 305-316 (2002).
(gziped postscript, 2.2 MB)
(pdf, 2.9 MB)
- B. Fiedler, J.-S. Guo, J.-C. Tsai
-
Multiplicity of rotating spirals under curvature flows with normal tip motion.
J. Differential Equations 205 (2004) 211-228.
(postscript, 360 kB)
(pdf, 180 kB)
- B. Fiedler, J.-S. Guo, J.-C. Tsai
-
Rotating spirals of curvature flows: a center manifold approach.
Ann. Mat. Pura Appl. 135 (2006), 259-291.
(postscript, 4.2 MB)
(pdf, 1.4 MB)
- A. Afendikov, B. Fiedler, S. Liebscher
-
Plane Kolmogorov fows and Takens-Bogdanov bifurcation without parameters: The doubly reversible case.
Asymptotic Analysis
60 (2008), pp. 135-211.
(pdf, 3.3 MB)
- B. Fiedler, A. Schuppert
-
Local identification of hybrid models with tree structure
IMA J. Appl. Math 73 (2008), 449-476.
(postscript, 450 kB)
(pdf, 250 kB)
- B. Fiedler, C. Rocha
-
Connectivity and Design of Planar Global Attractors of Sturm Type.
I: Bipolar Orientations and Hamiltonian Paths
Crelle J. Reine Angew. Math. 635 (2009), 76-96.
(pdf, 750 kB)
- B. Fiedler, C. Rocha
-
Connectivity and Design of Planar Global Attractors of Sturm Type.
II: Connection Graphs.
J. Differential Equations 244 (2008), 1255-1286.
(pdf, 4.6 MB)
- B. Fiedler, C. Rocha
-
Connectivity and Design of Planar Global Attractors of Sturm Type.
III: Small and Platonic Examples.
J. Dyn. Diff. Equations 22 (2010), 121-162.
sections 1&2 (pdf, 2.4 MB),
section 3 (pdf, 5.6 MB),
section 4 (pdf, 5.7 MB).
- B. Fiedler, H. Matano
-
Global dynamics of blow-up profiles in one-dimensional
reaction diffusion equations
J. Dyn. Diff. Equations 19 (2007), 867-893.
(pdf, 250 kB)
- B. Fiedler, S.-B. Hsu
-
Non-periodicity in chemostat equations:
a multi-dimensional negative Bendixson-Dulac criterion
J. Math. Biology 59 (2008), 233-253.
(pdf, 310 kB)
- L. Schimansky-Geier, B. Fiedler, J. Kurths, E. Schöll (eds.)
-
Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology.
Dedicated to Werner Ebeling and Gerhard Ertl.
Lect. Notes in Complex Systems 5, World Scientific, Singapore 2007, 452 pp.
- B. Fiedler
-
Roots and centralizers of Anosov diffeomorphisms on tori.
Int. J. Bifurcation Chaos 15 (2005), 3691-3699.
(pdf, 201 kB)
- A.L. Afendikov, S. Liebscher, B. Fiedler
-
Standing waves near the Kolmogorov flow.
Dokl. Math. 75 (2007), 283-286,
translation from Dokl. Akad. Nauk 413 (2007), 587-590.
- B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll
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Refuting the odd number limitation of time-delayed feedback control.
Phys. Rev. Lett. 98 (2007), 114101.
(pdf, 605 kB)
- W. Just, B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll
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Beyond the odd number limitation: A bifurcation analysis of time-delayed feedback control.
Phys. Rev. E 76 (2007), 026210.
(pdf, 473 kB)
- B. Fiedler, M. Georgi, N. Jangle
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Spiral wave dynamics: reaction and diffusion versus kinematics.
In Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology,
L. Schimansky-Geier (ed.) et al.,
Lect. Notes in Complex Systems 5, World Scientific, Singapore 2007, 69-114.
(pdf, 1.1 MB)
- B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll
-
Beyond the odd-number limitation of time-delayed feedback control.
In Handbook of Chaos Control, E. Schöll (ed.) et al.
Wiley-VCH, Weinheim 2008, 73-84.
(pdf, 519 kB)
(handbook)
- B. Fiedler, V. Flunkert, M. Georgi, P. Hövel, E. Schöll
-
Delay stabilization of rotating waves without odd number limitation.
In Reviews of Nonlinear Dynamics and Complexity 1, H.G. Schuster (ed.),
Wiley-VCH, Weinheim 2008, 53-67.
(pdf, 425 kB)
- B. Fiedler, S. Yanchuk, V. Flunkert, P. Hövel, H.-J. Wünsche, E. Schöll
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Delay stabilization of rotating waves near fold bifurcation and
application to all-optical control of a semiconductor laser.
Phys. Rev. E 77 (2008), 066207.
(pdf, 765 kB)
- B. Fiedler
-
Time-delayed feedback control: qualitative promise and quantitative constraint.
In A.L. Fradkov et al. (eds.), 6th EUROMECH Conference on Nonlinear Dynamics ENOC 2008,
Saint Petersburg, Russia, 2008.
(pdf, 133 kB)
(lib.physcon.ru).
- B. Fiedler, V. Flunkert, P. Hövel, E. Schöll
-
Delay stabilization of periodic orbits in coupled oscillator systems.
Phil. Trans. Roy. Soc. A 368 (2010), 319-341.
(pdf, 512 kB)
- B. Fiedler
-
Romeo and Juliet, Spontaneous Pattern Formation, and Turing's Instability.
In Mathematics Everywhere, M. Aigner et al. (eds.),
AMS, Providence 2010, 57-75.
(pdf, 946kB)
- A. Afendikov, B. Fiedler, S. Liebscher
-
Plane Kolmogorov flows and Takens-Bogdanov bifurcation without parameters. The singly reversible case.
Asymptotic Analysis 72 (2011), 31-76.
(journal)
- B. Fiedler, P. Castaneda
-
Rainbow meanders and Cartesian billiards.
São Paulo J. Math. Sci. 6 (2012), 247-275.
(pdf, 859 kB)
- B. Fiedler, C. Rocha, M. Wolfrum
-
Sturm global attractors for S1-equivariant parabolic equations.
Netw. Heterog. Media 7 (2012), 617-659.
(pdf, 487 kB)
- B. Fiedler, C. Rocha, M. Wolfrum
-
A permutation characterization of Sturm global attractors of Hamiltonian type.
J. Differ. Equations 252 (2012), 588-623.
(pdf, 414 kB)
- B. Fiedler
-
Mathematical models of flageolet harmonics on stringed instruments.
J. Comp. Appl. Math. 254 (2013), 144-153.
(pdf, 300 kB)
- B. Fiedler, A. Mochizuki, G. Kurosawa, D. Saito
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Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks.
J. Dyn. Differ. Equations 25 (2013), 563-604.
(pdf, 4.041 kB)
- A. Mochizuki, B. Fiedler, G. Kurosawa, D. Saito
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Dynamics and control at feedback vertex sets. II: A faithful monitor to determine the diversity of molecular activities in regulatory networks.
J. Theor. Biol. 335 (2013), 130-146.
(pdf, 5.253 kB)
- A. Zakharova, I. Schneider, Y. N. Kyrychko, K. B. Blyuss, A. Koseska, B. Fiedler and E. Schöll
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Time delay control of symmetry-breaking primary and secondary
oscillation death.
Europhys. Lett. 104 (2013), 50004.
(pdf, 950 kB)
- B. Fiedler, C. Grotta-Ragazzo, C. Rocha
-
An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle.
Russ. Math. Surv. 69 (2014), 419-433.
(pdf, 184 kB)
- B. Fiedler
-
Reversibility, continued fractions, and infinite meander permutations of planar homoclinic orbits in linear hyperbolic Anosov maps.
Int. J. Bifurcation Chaos Appl. Sci. Eng. 24 (2014), 12.
(pdf, 269 kB)
- B. Fiedler, C. Rocha
-
Nonlinear Sturm global attractors: unstable manifold decompositions as CW-complexes.
Discrete Contin. Dyn. Syst. 34 (2014), 5099-5122.
(pdf, 317 kB)
- A. Mochizuki, B. Fiedler
-
Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network.
Submitted 2014.
(pdf, 542 kB)
- B. Fiedler, A. Mochizuki
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Sensitivity of chemical reaction networks: a structural approach. 2. Regular monomolecular systems.
Math. Methods Appl. Sci. 38 (2015), 3519-3537.
(pdf, 393 kB)
- B. Fiedler, J. Hell, B.Smith
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Anisotropic Einstein data with isotropic non negative prescribed scalar curvature.
Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32 (2015), 401-428.
(pdf, 457 kB)
- B. Fiedler, C. Rocha
-
Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems.
J. Dyn. Differ. Equations 27 (2015), 597-626.
(pdf, 433 kB)
- B. Fiedler, S. Oliva
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Delayed feedback control of a delay equation at Hopf bifurcation.
J. Dyn. Differ. Equations 28 (2016), 1357-1391.
(pdf, 2.659 kB)
- S.-B. Hsu, B. Fiedler, H.-H. Lin
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Classification of potential flows under renormalization group transformation.
Discrete Contin. Dyn. Syst., Ser. B 21, 2 (2016), 437-446.
(pdf, 107 kB)
- B. Brehm, B. Fiedler
-
Sensitivity of chemical reaction networks: a structural approach 3. Regular multimolecular systems.
Math. Meth. Appl. Sci. 41, arXiv:1606.00279v1 (2016), Preprint.
(pdf, 1.007 kB)
- B. Fiedler, C. Rocha
-
Sturm 3-ball global attractors 1: Thom-Smale complexes and meanders.
Sao Paulo J. Math. Sci. 12, 18 (2018), 18-67.
(pdf, 1658 kB)
- B. Fiedler, C. Rocha
-
Sturm 3-ball global attractors 2: Design of Thom-Smale complexes.
J. Dynam. Differential Equations (2018), arXiv:1704.00344 (2018).
(pdf, 1870 kB)
- B. Fiedler, C. Rocha
-
Sturm 3-ball global attractors 3: Examples of Thom-Smale complexes.
Discr. Cont. Dyn. Syst. A 38, 3479 (2018), arXiv:1708.00690 (2017), Preprint.
(pdf, 12241 kB)
- B. Fiedler
-
Global Hopf bifurcation in networks with fast feedback cycles.
arxiv:1903.09996 (2019), Discr. Contin. Dyn. Syst. S 14 (2021), 177-203,
doi: 10.3934/dcdss.2020344
(pdf, 391 kB)
B. Fiedler, P. Lappicy
A Lyapunov function for fully nonlinear parabolic equations in one spatial variable.
São Paulo J. Math. Sci. 13, No. 1, 283-291 (2019), arxiv:1802.09754, doi: 10.1007/s40863-018-00115-2.
(pdf, 146 kB)
B. Fiedler, C. Rocha
Sturm 3-ball global attractors 2: design of Thom-Smale complexes.
J. Dyn. Differ. Equations 31, No. 3, 1549-1590 (2019).
(pdf, 1870 kB)
B. Fiedler, A.Lopez Nieto, R. H. Rand, S. M. Sah et al.
Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators.
arXiv:1906.06602 (2019), J. Differential Eqs. 268 (2020), 5969--5995, doi: 10.1016/ j.jde.2019.11.015
(pdf, 894 kB)
B. Fiedler, C. Rocha
Boundary orders and geometryof the signed Thom-Smale complexfor Sturm global attractors.
Journal of Dynamics and Differential Equations (2020), 32pp., arxiv:1811.04206 (2018), doi: 10.1007/s10884-020-09836-5.
https://rdcu.be/b3CoJ
S.M. Sah, B.Fiedler, B.Shayak, R.H.Rand
Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis.
Nonlinear Dyn. (2020), 13 pp., in press, doi: 10.1007/s11071-020-06012-8
(pdf, 973 kB)
B. Fiedler, I. Schneider
Stabilized rapid oscillations in a delay equation: Feedback control by a small resonant delay.
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(pdf, 2.310 kB)
C. Rocha, B. Fiedler
Meanders, zero numbers and the cell structure of Sturm global attractors.
arxiv:2002.00218 (2020)
(pdf, 497 kB)
B. Fiedler, S.W. Haugland, F.P. Kemeth, K. Krischer
Global 2-cluster dynamics under large symmetric groups.
arxiv:2008.06944 (2020), submitted.
(pdf, 8271 kB)
F.P. Kemeth, B. Fiedler, S.W. Haugland, K. Krischer
2-cluster fixed-point analysis of mean-coupled Stuart-Landau oscillators in the center manifold.
arxiv:2010.06221 (2020), J. Phys. Complex. (2020), 22 pp., in press, doi: 10.1088/2632-072X/abd0da
(pdf, 8271 kB)
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