Friday, Aug 06, 1999

	Coffee Break
9:00 - 10:00	Room 3 (A) Homoclinic Tangencies Chair: Floris Takens Marcelo Viana Recent developments in chaotic dynamics
	Room 1	Room 2	Room 3
10:30 - 11:30	(E) Molecular Modelling Chair: Folkmar Bornemann Christof Schütte Conformational Dynamics: How to Compute Almost Invariant Structures in the Complicated Motion of Molecular Ensembles	(C) Stability of Fronts and Pulses Chair: Peter Szmolyan Björn Sandstede Dynamics of Pulses and Fronts	(D) Computer Algebra Tools Chair: Mike Field Jan Sanders Algorithms from representation theory
11:30 - 12:30	(A) Symmetry Chair: Marty Golubitsky Ian Melbourne Bifurcation with Euclidean symmetry: Universality, Reduction and Ginzburg-Landau equations	(B) Microstructure Chair: Stefan Müller Felix Otto How applied analysis can make use of separation of scales: some examples	(A) Topological Methods and Conley Index Chair: Konstantin Mischaikow Roman Srzednicki On the Conley index over a base space
	Lunch Break

	Room 1 (A) Topological Methods and Conley Index Chair: Konstantin Mischaikow and Marian Mrozek	Room 2 (D) Numerical Ergodic Theory Chair: Michael Dellnitz	Room 2 (D) Numerics of Dynamics Chair: Tim Sauer	Room 3 (A) Symmetry Chair: Mike Field and Marty Golubitsky
13:50 - 14:10	Andrzej Szymczak Symbolic Dynamics from Time Series	Evelyn Buckwar Numerical schemes for stochastic delay differential equations		Edgar Knobloch Forced symmetry breaking and pattern formation in weakly anisotropic systems
14:10 - 14:30	Andrzej Szymczak Symbolic Dynamics from Time Series	Michael Grinfeld Young Measures and Invariance
14:30 - 14:50	Jacek Szybowski The implementation of the Allili-Kaczynski algorithm of the construction of chain homomorphism induced by multivalued map	George Osipenko Calculation of Morse Spectrum of a Dynamical System		Pascal Chossat Bifurcation of relative equilibria in Hamiltonian systems
14:50 - 15:10	Piotr Zgliczynski Sensitive dependence on initial conditions using topological tools?		Volker Reitmann Dimension and stability of sets embedded in normally hyperbolic invariant manifolds
15:10 - 15:30	Pawel Pilarczyk Computer Assisted Proof of the Existence of a Periodic Orbit in the Rössler Equations		Daniel Stoffer Chaotic behaviour in the restricted 3-body problem	Marty Golubitsky Animal Gaits and Coupled Oscillators
15:30 - 15:50	Kinga Stolot On Symbolic Dynamics for a Semidynamical System Induced bythe Endomorphism on a Torus		Michael Zeitlin Wavelet Approach to Nonlinear Dynamics	Marty Golubitsky Animal Gaits and Coupled Oscillators
	Room 4 (E) Mechanics Chair: Jerry Marsden and Juergen Scheurle	Room 5 (C) Global Attractors and Limits Chair: Jack K. Hale and Genevieve Raugel	Room 7 (C) Stability of Fronts and Pulses Chair: Björn Sandstede	Room 8 (B) Nonlinear Functional Analysis Chair: Hansjörg Kielhöfer and Jean Mawhin
13:50 - 14:10	Mark Roberts Relative equilibria of molecules	Genevieve Raugel Attractors and perturbations	Thierry Gallay Convergence to travelling waves in damped hyperbolic equations	Alberto Cabada Lower and upper solutions in the theory of Phi-Laplacian problems
14:10 - 14:30	Mark Roberts Relative equilibria of molecules	Genevieve Raugel Attractors and perturbations
14:30 - 14:50	Heinz Hanßmann Quasi-Periodic Motions of the Perturbed Euler Top	Eduard Feireisl On the time-periodic solutions to the Navier-Stokes equations of compressible flow	Guido Schneider Existence and stability of modulating fronts	Ireneo Peral Quasilinear elliptic equations in the whole space
14:50 - 15:10				Rodrigo L. Pouso Upper and lower solutions for first order discontinuous BVPs
15:10 - 15:30	Hans-Peter Kruse The Hamiltonian structure of the dynamics of ideal liquid bridges	Amy Novick-Cohen The global attractor of the viscous Cahn-Hilliard homotopy	Alice Yew Instability of multiple pulses in a system of quadratically coupled Schrödinger equations	Robert Stañczy Bounded solutions of nonlinear elliptic equations in unbounded domains
15:30 - 15:50			Hideo Ikeda Global structure of travelling waves for 3 competing species model with diffusion	Sidi Mohammed Bouguima Multiple solutions of a quasilinear elliptic boundary value problem
	Room 9 (B) Variational Methods Chair: Mariano Giaquinta	Room 10 (A) Stochastic Systems Chair: Ludwig Arnold and Peter Kloeden	Room 11 (A) Homoclinic Tangencies Chair: Ale Jan Homburg and Floris Takens	Room 12 (E) Patterns Chair: Paul Fife
13:50 - 14:10	Andreas Gastel Existence of equivariant harmonic maps	C.W. Li Lyapunov Exponents of Linear Stochastic Jump Diffusions	Warwick Tucker The Lorenz attractor exists	Vivi Rottschäfer Co-dimension 2 phenomena in pattern formation
14:10 - 14:30	Andreas Gastel Existence of equivariant harmonic maps	Mikhail Borisov The comparison of two statistical estimators for parameters of the ARMA system under complex disturbances in the data	Warwick Tucker The Lorenz attractor exists	José Sabina Asymptotic profiles of nonlinear diffusion problems
14:30 - 14:50	Tom Ilmanen t.b.a.		Bernd Krauskopf Resonant homoclinic flip bifurcations: a numerical investigation	Cristina Marcelli Existence of bounded trajectories via upper and lower solutions
14:50 - 15:10	Tom Ilmanen t.b.a.		Alexander Vakakis A Method for Computing the Homoclinic Orbits of the Lorenz System	Maxim V. Shamolin Some Properties of Transcendent Integrable Dynamical Systems
15:10 - 15:30	Frank Pacard Critical points of the area functional by gluing technics		Carlos Morales On singularities robustly accumulated by periodic orbits
15:30 - 15:50
	Room 13 (F) Numerics Chair: Klaus Böhmer
13:50 - 14:10
14:10 - 14:30	Tayeb Benouaz Optimal derivative procedure of a nonlinear ordinary differential equation
14:30 - 14:50	Miklos Ronto On the Investigation of Boundary Value Problems
14:50 - 15:10	Roumen Anguelov On the Mathematical Foundation of the Nonstandard Finite Difference Method
15:10 - 15:30	Alla I. Boikova An approximate method of solution of some types of singular integro-differential equations
15:30 - 15:50	Mostafa Mjahed Event recognition using a binary discriminant tree

15:50 - 16:20	Coffee Break

	Room 1 (B) Microstructure Chair: Stefan Müller	Room 2 (D) Dynamics and Algorithms Chair: Eusebius Doedel	Room 3 (E) Chemistry Chair: Yannis Kevrekidis	Room 4 (D) Geometric Integrators Chair: Jerry Marsden
16:20 - 16:40	Reiner Schaetzle Hypersurfaces with mean curvature given by a trace	Rüdiger Seydel A Domain on Bifurcation	Edriss Titi Long-Time Dynamics of Dissipative PDEs with Applications to Reaction-Diffusion Systems	Ben Leimkuhler New Ideas in Splitting with N-Body Applications
16:40 - 17:00		Jorge Galan-Vioque Numerical Continuation of Periodic Orbits in Symmetric Hamiltonian systems
17:00 - 17:20	Sergio Conti Branched microstructures: scaling and self-similarity	Hinke Osinga Two-dimensional global manifolds of vector fields	Markus Bär Parity breaking bifurcations in reaction-diffusion models with nonlocal coupling	Couro Kane Variational Structure and Numerics of Contact Problems
17:20 - 17:40		Pablo S. Casas A numerical method for computing unstable quasiperiodic solutions for the 2-D Poiseuille flow.
17:40 - 18:00	Florian Theil A mathematical formulation of rate-independent phase transformations using an extremum principle	Oliver Junge Rigorous discretization of subdivision techniques	Chia Chang Pattern Formation During Electropolishing and Anodization	Bulent Karasozen Finite-Difference Approximations and Cosymmetry Conservation in Filtration Convection Problem
18:00 - 18:20		Ricardo Riaza Strong Singularities and the Continuous Newton Method		Matt West Equivalence of Newmark and variational algorithms and extensions to dissipative mechanical systems
18:20 - 18:40	Aaron N.K. Yip Continuum Limits of Step Flow Models		Yannis Kevrekidis Dynamics on Microcomposite Catalysts
18:40 - 19:00	Aaron N.K. Yip Continuum Limits of Step Flow Models		Yannis Kevrekidis Dynamics on Microcomposite Catalysts
	Room 5 (C) Global Attractors and Limits Chair: Jack K. Hale and Genevieve Raugel	Room 6 (B) Variational Methods Chair: Mariano Giaquinta	Room 7 (C) Stability of Fronts and Pulses Chair: Björn Sandstede	Room 8 (B) Nonlinear Functional Analysis Chair: Hansjörg Kielhöfer and Jean Mawhin
16:20 - 16:40	Jose M. Arrieta Attractors of Parabolic Problems and Perturbations of the Diffusion	Sophia Demoulini Periodic solutions and rigid rotation of Ginzburg-Landau vortices	Elaine Crooks Stability of travelling fronts for parabolic systems	Abdelkader Boucherif Multipoint boundary value problems
16:40 - 17:00		Serguei Vodop'yanov Quasiregular maps and subelliptic equations on Carnot groups	Andrei Afendikov Multi-pulse solutions in problems with reflection symmetries in an unbounded domain.
17:00 - 17:20	Alexander Mielke Attractors for dissipative problems on unbounded domains	Francesco Leonetti Regularity for minimizers of some variational integrals		Daniel Franco Remarks on a periodic boundary value problem for second order impulsive integro-differential equations
17:20 - 17:40		Addolorata Salvatore Multiple solutions for an elliptic equation with non-homogeneous boundary conditions		Biljana Jolevska-Tuneska Polynomial solutions on matrix differential equation of Ricati type
17:40 - 18:00	Matthias Wolfrum Geometry of heteroclinic cascades in scalar semilinear parabolic PDE			Juan Campos On the ensemble of resonance of a fourth order equation
18:00 - 18:20	Fabian Wirth On equivalence of exponential and asymptotic stability under changes of variables			Aureliano M. Robles-Pérez Equivalence of two definitions of index of periodic solutions of an evolution equation of second order
18:20 - 18:40				Bryan Rynne The Fucik spectrum of general Sturm-Liouville problems
18:40 - 19:00
	Room 9 (A) Symmetry Chair: Mike Field and Marty Golubitsky	Room 10 (D) Computer Algebra Tools Chair: Jan Sanders	Room 11 (A) Homoclinic Tangencies Chair: Ale Jan Homburg and Floris Takens	Room 13 (F) Partial Differential Equations Chair: Mohamed Belhaq
16:20 - 16:40	Alexander Kopanskii Smooth normalization of reversible vector fields	Karin Gatermann Algorithmic invariant theory and dynamic	Dmitry Turaev Arbitrarily complicated dynamics near homoclinic cycles	Michael Demuth Partial differential operators perturbed by imposing Dirichlet boundary conditions
16:40 - 17:00	Michael Barco Symmetries in Exterior Differential Systems			Abdollah Shidfar An Inverse Problem of PDE's
17:00 - 17:20	Teoman Özer Calculation of the Solution of Boussinesq problem using Lie symmetries	Wang, J.P. / Sanders, J. Using symbolic method to classify evolution equations	Mikhail Shashkov Impossibility of complete bifurcation description for some classes of system with simple dynamics	P.B. Dubovski Quasifunctionals in partial differential and integral equations
17:20 - 17:40	Mehmet Can The relation between Painleve property and Lie symmetries of differential equations		Jürgen Knobloch Dynamics near non-transversal homoclinic points	Natalia K. Prykarpatska On the Lax type extremality solutions to a Hamilton-Jacobi equation and its generalizations.
17:40 - 18:00		Pei Yu A method for computing center manifold and normal forms	Ale Jan Homburg Periodic and strange attractors near saddle-focus homoclinic orbits
18:00 - 18:20
18:20 - 18:40		Leonid Braverman Computer Algebra Tool for the Solution of the Boundary-Value Problem
18:40 - 19:00		Gianluca Gorni A computational method for the stability of a class of mechanical system

20:30 - 22:00	Special Evening Lecture and Piano Performance jointly with Institute of Contemporary Music, Hochschule der Künste, Berlin Guerino Mazzola Shaping Musical Performance by Genealogical Trees of Vector Fields

Index

Thursday, Aug 05, 1999

Saturday, Aug 07, 1999

equadiff@math.fu-berlin.de Aug 06 1999