Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Project Ludwig Arnold and Wolfgang Krieger - Gunther Ochs: Random attractors: robustness, numerics and chaotic dynamics.- Project Christoph Bandt - Christoph Bandt: Self-similar measures.- Project Wolf-Jürgen Beyn - Wolf-Jürgen Beyn, Winfried Kleß, and Vera Thümmler: Continuation of low-dimensional invariant subspaces in dynamical systems of large dimension.- Project Hans-Günter Bothe - Jörg Schmeling: Dimension theory of smooth dynamical systems.- Project Klaus Böhmer - Klaus Böhmer: On hybrid methods for bifurcation and center manifolds for general operators.- Project Fritz Colonius - Fritz Colonius and Wolfgang Kliemann: Collision of control sets.- Project Michael Dellnitz - Michael Dellnitz, Gary Froyland, and Oliver Junge: The algorithms behind GAIO - Set oriented numerical methods for dynamical systems.- Project Manfred Denker - Manfred Denker and Stefan-M. Heinemann: Polynomial skew products.- Project Peter Deuflhard - Ch. Schütte, W. Huisinga, and P. Deuflhard: Transfer operator approach to conformational dynamics in biomolecular systems.- Project Gerhard Dziuk - Michael Fried and Andreas Veeser: Simulation and numerical analysis of dendritic growth.- Project Fred Feudel, Jürgen Kurths, and Norbert Seehafer - F. Feudel, S. Rüdiger, N. Seehafer: Bifurcation phenomena and dynamo effect in electrically conducting fluids.- Project Bernold Fiedler - Ale Jan Homburg: Cascades of homoclinic doubling bifurcations.- Project Heinrich Freistühler and Dietmar Kröner - Heinrich Freistühler, Christian Fries, and Christian Rohde: Existence, bifurcation, and stability of profiles for classical and non-classical shock waves.- Project Karl Peter Hadeler - K.P. Hadeler and Johannes Müller: Dynamical systems of population dynamics.- Project Gerhard Keller - Gerhard Keller and Matthias St.Pierre: Topological and measurable dynamics of Lorenz maps.- Project Klaus Kirchgässner - Mariana Haragus-Courcelle and Klaus Kirchgässner: Three-dimensional steady capillary-gravity waves.- Project Peter Kloeden - L. Grüne and P.E. Kloeden: Discretization, inflation and perturbation of attractors.- Project Dietmar Kröner and Martin Rumpf - J. Becker, D. Bürkle, R.-T. Happe, T. Preußer, M. Rumpf, M. Spielberg, R. Strzodka: Aspects on data analysis and visualization for complex dynamical systems.- Project Tassilo Küpper and Markus Kunze - Tassilo Küpper and Markus Kunze: Non-smooth dynamical systems: An overview.- Project Reiner Lauterbach - Frédéric Guyard and Reiner Lauterbach: Forced symmetry breaking and relative periodic orbits.- Project Christian Lubich - Christian Lubich: On dynamics and bifurcations of nonlinear evolution equations under numerical discretization.- Project Stephan Luckhaus and Stefan Müller - Felix Otto: Evolution of microstructure: an example.- Project Dieter Mayer - Cheng-Hung Chang and Dieter Mayer: An extension of the thermodynamic formalism approach to Selberg's zeta function for general modular groups.- Project Alexander Mielke and Guido Schneider - Alexander Mielke, Guido Schneider, and Hannes Uecker: Stability and diffusive dynamics on extended domains.- Project Volker Reitmann - Volker Reitmann: Dimension estimates for invariant sets of dynamical systems.- Project Dietmar Saupe - Hannes Hartenstein, Matthias Ruhl, Dietmar Saupe, and Edward R. Vrscay: On the inverse problem of fractal compression.- Project Jürgen Scheurle - Matthias Rumberger and Jürgen Scheurle: The orbit space method: theory and application.- Project Klaus R. Schneider - D.V. Turaev: Multi-pulse homoclinic loops in systems with a smooth first integral.- Project Frank Steiner - A. Bäcker and F. Steiner: Quantum chaos and quantum ergodicity.- Project Hans-Otto Walther - Matthias Büger: Periodic orbits and attractors for autonomous reaction-diffusion systems.- Project Gerald Warnecke - Christiane Helzel and Gerald Warnecke: Unconditionally stable explicit schemes for the approximation of conservation laws