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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Edited by Bernold Fiedler ()

in Springer Books from Springer

Date: 2001
ISBN: 978-3-642-56589-2
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Chapters in this book:

Random Attractors: Robustness, Numerics and Chaotic Dynamics
Gunter Ochs
Self-Similar Measures
Christoph Bandt
Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension
Wolf-Jürgen Beyn, Winfried Kleß and Vera Thümmler
On Hybrid Methods for Bifurcation and Center Manifolds for General Operators
Klaus Böhmer
Dimension Theory of Smooth Dynamical Systems
Jörg Schmeling
Collision of Control Sets
Fritz Colonius and Wolfgang Kliemann
The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems
Michael Dellnitz, Gary Froyland and Oliver Junge
Polynomial Skew Products
Manfred Denker and Stefan-M. Heinemann
Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems
Ch. Schütte, W. Huisinga and P. Deuflhard
Simulation and Numerical Analysis of Dendritic Growth
Michael Fried and Andreas Veeser
Bifurcation Phenomena and Dynamo Effect in Electrically Conducting Fluids
F. Feudel, S. Rüdiger and N. Seehafer
Cascades of Homoclinic Doubling Bifurcations
Ale Jan Homburg
Existence, Bifurcation, and Stability of Profiles for Classical and Non-Classical Shock Waves
Heinrich Freistühler, Christian Fries and Christian Rohde
Dynamical Systems of Population Dynamics
K. P. Hadeler and Johannes Müller
Topological and Measurable Dynamics of Lorenz Maps
Gerhard Keller and Matthias St. Pierre
Three-Dimensional Steady Capillary-Gravity Waves
Mariana Hărăguş-Courcelle and Klaus Kirchgässner
Discretization, Inflation and Perturbation of Attractors
L. Grüne and P. E. Kloeden
Aspects on Data Analysis and Visualization for Complicated Dynamical Systems
J. Becker, D. Bürkle, R.-T. Happe, T. Preußer, M. Rumpf, M. Spielberg and R. Strzodka
Non-Smooth Dynamical Systems: An Overview
Markus Kunze and Tassilo Küpper
Forced Symmetry Breaking and Relative Periodic Orbits
Frédéric Guyard and Reiner Lauterbach
On Dynamics and Bifurcations of Nonlinear Evolution Equations Under Numerical Discretization
Christian Lubich
Evolution of Microstructure: an Example
Felix Otto
An Extension of the Thermodynamic Formalism Approach to Selberg’s Zeta Function for General Modular Groups
Cheng-Hung Chang and Dieter H. Mayer
Stability and Diffusive Dynamics on Extended Domains
Alexander Mielke, Guido Schneider and Hannes Uecker
Dimension Estimates for Invariant Sets of Dynamical Systems
Volker Reitmann
On the Inverse Problem of Fractal Compression
Hannes Hartenstein, Matthias Ruhl, Dietmar Saupe and Edward R. Vrscay
The Orbit Space Method: Theory and Application
Matthias Rumberger and Jürgen Scheurle
Multi-Pulse Homoclinic Loops in Systems with a Smooth First Integral
Dmitry Turaev
Quantum Chaos and Quantum Ergodicity
A. Bäcker and F. Steiner
Periodic Orbits and Attractors for Autonomous Reaction-Diffusion Systems
Matthias Büger
Unconditionally Stable Explicit Schemes for the Approximation of Conservation Laws
Christiane Helzel and Gerald Warnecke

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DOI: 10.1007/978-3-642-56589-2

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