Preprints

Notation

sfb701a9:
sfb701b3:	SFB 701 - Projekt B3:

sfb701a2:	SFB 701 - Projekt A2:

fogru:
fspm:
china:
daad:
danse:
sfb:
misc:

Preprints

2013

sfb701a9 13-056 Raphael Kruse.
Consistency and stability of a Milstein-Galerkin finite element scheme for semilinear SPDE
sfb701b3 13-020 Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes.
Stability and Computation of Dynamic Patterns in PDEs

2012

sfb701b3 12-139 Denny Otten.
Spatial decay of rotating waves in parabolic systems
sfb701b3 12-099 Wolf-Jürgen Beyn, Yuri Latushkin, Jens Rottmann-Matthes.
Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals
sfb701b3 12-040 Wolf-Jürgen Beyn, Janosch Rieger.
A numerical method for the solution of relaxed one-sided Lipschitz algebraic inclusions
sfb701b3 12-023 Gary Froyland, Thorsten Hüls, Gary P. Morriss, Thomas M. Watson.
Computing covariant vectors, Lyapunov vectors, Oseledets vectors and dichotomy projectors: a comparative numerical study
sfb701b3 12-005 Jens Rottmann-Matthes.
Stability of parabolic-hyperbolic traveling waves

2011

sfb701b3 11-117 Wolf-Jürgen Beyn, Thorsten Hüls.
Continuation and collapse of homoclinic tangles
sfb701b3 11-079 Jens Rottmann-Matthes.
Stability and Freezing of Waves in Nonlinear Hyperbolic-Parabolic Systems
sfb701b3 11-041 Wolf-Jürgen Beyn, Janosch Rieger.
Galerkin Finite Element Methods for Semilinear Elliptic Differential Inclusions
sfb701b3 11-031 Raphael Kruse.
Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise
sfb701b3 11-024 Wolf-Jürgen Beyn, Cedric Effenberger, Daniel Kressner.
Continuation of Eigenvalues and Invariant Pairs for Parameterized Nonlinear Eigenvalue Problems
sfb701b3 11-016 Jens Rottmann-Matthes.
Stability and freezing of nonlinear waves in first order hyperbolic PDEs
sfb701b3 11-011 Thorsten Hüls, Yongkui Zou.
A note on computing heteroclinic trajectories of non-autonomous maps

2010

sfb701b3 10-096 Wolf-Jürgen Beyn, Alexander Lust.
Error analysis of a hybrid method for computing Lyapunov exponents
sfb701b3 10-093 Raphael Kruse, Stig Larsson.
Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise
sfb701b3 10-049 Jens Rottmann-Matthes.
Linear stability of traveling waves in nonstrictly hyperbolic PDEs
sfb701b3 10-048 Jens Kemper.
Long-time behavior of the POD method
sfb701b3 10-026 Joseph Paez.
Discretizing Dynamical Systems with Generalized Hopf Bifurcations
sfb701b3 10-025 Joseph Paez.
Starting Homoclinic Tangencies near 1 : 1 Resonances
sfb701b3 10-024 Joseph Paez.
Discretizing Dynamical Systems with Hopf-Hopf Bifurcations
sfb701b3 10-017 Wolf-Jürgen Beyn, Janosch Rieger.
A set-valued implicit function theorem under relaxed one-sided Lipschitz conditions
sfb701b3 10-009 Wolf-Jürgen Beyn, Benjamin Gess, Paul Lescot, Michael Röckner.
The global random attractor for a class of stochastic porous media equations
sfb701b3 10-007 Wolf-Jürgen Beyn.
An integral method for solving nonlinear eigenvalue problems
sfb701b3 10-005 Raphael Kruse.
Two-sided error estimates for stochastic onestep and multistep methods

2009

sfb701b3 09-056 Joseph Paez.
Discretizing Bifurcation Diagrams near Codimension two Singularities
sfb701b3 09-051 Raphael Kruse.
Discrete approximation of stochastic differential equations
sfb701b3 09-048 Wolf-Jürgen Beyn, Janosch Rieger.
The implicit Euler scheme for one-sided Lipschitz differential inclusions
sfb701b3 09-034 Wolf-Jürgen Beyn, Raphael Kruse.
Two-Sided Error Estimates for the Stochastic Theta Method
sfb701a2 09-032 Thorsten Hüls.
Computing Sacker-Sell spectra in discrete time dynamical systems
sfb701b3 09-030 Wolf-Jürgen Beyn, Vera Thümmler.
Dynamics of Patterns in Nonlinear Equivariant PDEs
sfb701a2 09-027 Janosch Rieger, Sergei Pilyugin.
A General Approach to Hyperbolicity for Set-Valued Map
sfb701a2 09-008 Fritz Colonius, Thorsten Hüls, Martin Rasmussen.
Connecting orbits in perturbed systems

2008

sfb701a2 08-118 Jens Kemper.
Computing invariant measures with dimension reduction methods
sfb701a2 08-115 Janosch Rieger.
A C∞ density theorem for differential inclusions with Lipschitz continuous right hand sides
sfb701a2 08-114 Joseph Paez, Lajos Loczi.
Preservation of bifurcations under Runge-Kutta methods
misc 01/08 Alexander Weddemann, Vera Thümmler.
Stability Analysis of ALE-Methods for Advection-Diffusion Problems
sfb701b3 07-068 Veerle Ledoux, Simon J.A. Malham, Vera Thümmler.
Grassmannian spectral shooting
sfb701a2 08-081 Thorsten Hüls.
Numerical computation of dichotomy rates and projectors in discrete time
sfb701b3 08-077 Wolf-Jürgen Beyn, Jens Lorenz.
Nonlinear stability of rotating patterns
sfb701a2 08-053 Janosch Rieger.
Shadowing and the Viability Kernel Algorithm
sfb701b3 08-043 Jens Rottmann-Matthes.
Spectral Analysis of Coupled Hyperbolic-Parabolic Systems on Finite and Infinite Intervals
sfb701b3 08-036 Veerle Ledoux, Simon Malham, Jitse Niesen, Vera Thümmler.
Computing Stability of Multidimensional Travelling Waves
sfb701b3 08-028 Wolf-Jürgen Beyn, Vera Thümmler.
Continuation of invariant subspaces for parameterized quadratic eigenvalue problems
sfb701b3 08-010 Gabriel J. Lord, Vera Thümmler.
Freezing stochastic travelling waves
misc 02/08 Anke Meyer-Bäse, Rodney G. Roberts, Vera Thümmler.
Local Uniform Stability of Competitive Neural Networks with Different Time-Scales under Vanishing Perturbations

2007

fspm Thorsten Hüls.
A Bifurcation Analysis of a 3D Blowfly Model in Discrete and Continuous Time
sfb701a2 07-082 Janosch Rieger, Sergei Pilyugin.
Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case
sfb701b3 07-069 Wolf-Jürgen Beyn, Vera Thümmler, Sabrina Selle.
Freezing Multipulses and Multifronts
misc 01/07 Anke Meyer-Bäse, Vera Thümmler.
Local and Global Stability Analysis of an Unsupervised Competitive Neural Network
sfb701b3 07-047 Wolf-Jürgen Beyn, Vera Thümmler.
Phase conditions, symmetries, and PDE continuation
sfb701a2 07-039 Wolf-Jürgen Beyn, Alexander Lust.
A hybrid method for calculating Lyapunov exponents
sfb701a2 07-032 Janosch Rieger, Sergei Pilyugin.
Shadowing and inverse shadowing in set-valued dynamical systems. Contractive case
sfb701a2 07-024 Janosch Rieger.
A regularity theorem for differential inclusions with Lipschitz continuous right hand sides
sfb701a2 07-025 Wolf-Jürgen Beyn, Thorsten Hüls, Malte Samtenschnieder.
On r-periodic orbits of k-periodic maps
sfb701a2 07-014 Wolf-Jürgen Beyn, Sergey Piskarev.
Shadowing for discrete approximations of abstract parabolic equations
sfb701a2 07-011 Thorsten Hüls.
Homoclinic trajectories of non-autonomous maps

2006

misc 06/02 Vera Thümmler.
Numerical bifurcation analysis of relative equilibria with Femlab
sfb701a2 06-045 Wolf-Jürgen Beyn, Janosch Rieger.
Numerical Fixed Grid Methods for Differential Inclusions
sfb701a2 06-029 Thorsten Hüls.
Homoclinic Orbits of Non-Autonomous Maps and their Approximation
sfb701b3 06-030 Vera Thümmler.
Asymptotic stability of discretized and frozen relative equilibria
sfb701a2 06-006 Thorsten Hüls.
A Model Function for Non-Autonomous Bifurcations of Maps

2005

sfb701b3 05-017 Vera Thümmler.
Numerical approximation of relative equilibria for equivariant PDEs
sfb701b3 05-016 Wolf-Jürgen Beyn, Jens Rottmann-Matthes.
Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations
fogru 05-016 Lajos Loczi.
Conjugacy in the discretized transcritical bifurcation

2004

2003

fogru 03-059 Wolf-Jürgen Beyn, Thorsten Hüls.
Error estimates for approximating non-hyperbolic heteroclinic orbits of maps
fogru 03-049 Wolf-Jürgen Beyn, Thorsten Hüls, Jan-Martin Kleinkauf, Yong-Kui Zou.
Numerical analysis of degenerate connecting orbits for maps
fogru 03-048 Yong-Kui Zou, Tassilo Küpper, Wolf-Jürgen Beyn.
Generalized Hopf bifurcation for non-smooth planar dynamical systems
fogru 03-022 Wolf-Jürgen Beyn, Vera Thümmler.
Freezing solutions of equivariant evolution equations
fogru 03-021 Wolf-Jürgen Beyn, Jens Lorenz.
Stability of viscous profiles: proofs via dichotomies
fogru 03-008 Yong-Kui Zou, Wolf-Jürgen Beyn.
On the existence of transversal heteroclinic orbits in discretized dynamical systems
fogru 03-007 Thorsten Hüls.
A model function for polynomial rates in discrete dynamical systems
fogru 03-006 Lajos Loczi.
A normal form for the fold bifurcation and its discretization

2002

fogru 02-007 Wolf-Jürgen Beyn, Sergei Pilyugin.
Attractors of reaction diffusion systems on infinite lattices

2001

fogru 01-007 Sergei Pilyugin, A.A. Rodionova, K. Sakai.
Orbital and weak shadowing properties
fogru 01-005 Gyula Farkas.
Small delay inertial manifolds under numerics: A numerical structural stability result
fogru 01-001 Yong-Kui Zou, Wolf-Jürgen Beyn.
On manifolds of connecting orbits in discretizations of dynamical systems
china 01-01 Yong-Kui Zou, Yan She.
Homoclinic bifurcation properties near a figure-eight homoclinic orbit
sfb 00-004 Thorsten Hüls, Yong-Kui Zou.
Polynomial Estimates and Discrete Saddle-node Homoclinic Orbits
danse 472/01 Thorsten Pampel (Göke).
Approximation of generalized connecting orbits with asymptotic rate
misc 01/01 Wolf-Jürgen Beyn, Winfried Kleß, Vera Thümmler.
Continuation of low-dimensional invariant subspaces in dynamical systems of large dimension

2000

danse 31/00 Wolf-Jürgen Beyn, Thorsten Pampel (Göke), W. Semmler.
Dynamic optimization and Skiba sets in economic examples
danse 25/00 Thorsten Pampel (Göke).
Numerical approximation of connecting orbits with asymptotic rate
sfb 00-054 Gyula Farkas.
On Cj-Closeness of Invariant Foliations under Numerics
sfb 00-072 Wolf-Jürgen Beyn.
A Note on Symbolic Dynamics near Connecting Orbits of Maps
sfb 00-019 Mingyou Huang.
On Nonlinear Stability of Strong Shock Profiles in Viscous Conservation Laws
sfb 00-051 Gyula Farkas.
Conjugacy in the Discretized Fold Bifurcation

1999

danse 30/99 Wolf-Jürgen Beyn, Vera Thümmler, Winfried Kleß.
A continuation framework for invariant subspaces and its application to traveling waves
fspm 00-02 Christian Alscher.
Numerical simulation of impact and lift-off events in the hydrostatic skeleton of the leech
sfb 99-065 Barnabas Garay, Wolf-Jürgen Beyn.
Estimates of Variable Stepsize Runge-Kutta Methods for Sectorial Evolution Equations with Nonsmooth Data
sfb 99-047 Wolf-Jürgen Beyn, Johannes Schropp.
Runge-Kutta Discretizations of Singularly Perturbed Gradient Equations
sfb 99-102 Alexander Vladimirov, Ludwig Elsner, Wolf-Jürgen Beyn.
Stability and Paracontractivity of Discrete Linear Inclusions
danse 19/99 Wolf-Jürgen Beyn, Jens Lorenz.
Stability of Traveling Waves: Dichotomies and Eigenvalue Conditions on Finite Intervals
fspm 00-01 Christian Alscher.
Sensitivity analysis of impact and lift-off events in constrained mechanical systems

1998

danse 63/98 Christian Alscher, Wolf-Jürgen Beyn.
Simulating the motion of the leech: A biomechanical application of DAEs
danse 10/98 Matthias Stiefenhofer.
Unfolding singularly perturbed Bogdanov points

1997

danse 15/97 Wolf-Jürgen Beyn, Matthias Stiefenhofer.
A direct approach to homoclinic orbits in the fast dynamics of singularly perturbed systems
sfb 96-074 Ludwig Elsner, Wolf-Jürgen Beyn.
Connecting Paracontractivity and Convergence of Products

1996

danse 61/96 Matthias Stiefenhofer.
Singular Perturbation with Limit Points in the Fast Dynamics
danse 59/96 Matthias Stiefenhofer.
Singular Perturbation with Hopf Points in the Fast Dynamics
danse 50/96 Wolf-Jürgen Beyn, Thorsten Pampel (Göke).
A note on the Hopf stability formula under nonresonance conditions
sfb 96-024 Wolf-Jürgen Beyn, Jan-Martin Kleinkauf.
Numerical approximation of Homoclinic Chaos
danse 6/96 Winfried Kleß, Wolf-Jürgen Beyn.
Numerical Taylor expansions of invariant manifolds in large dynamical systems
danse 5/96 Wolf-Jürgen Beyn, Yong-Kui Zou.
Discretizations of dynamical systems with a saddle-node homoclinic orbit

1995