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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Author: Bernold Fiedler
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2001.
Edition/Format:  eBook : Bibliographic data : EnglishView all editions and formats
Summary:
This book summarizes and highlights progress in Dynamical Systems achieved during six years of the German Priority Research Program "Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems", funded by the Deutsche Forschungsgemeinschaft (DFG). The three fundamental topics of large time behavior, dimension, and measure are tackled with by a rich circle of uncompromisingly rigorous mathematical  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bernold Fiedler
ISBN: 9783642565892 3642565891 9783642625244 364262524X
OCLC Number: 840292245
Language Note: English.
Description: 1 online resource (XI, 820 pages)
Contents: Random Attractors: Robustness, Numerics and Chaotic Dynamics --
Self-Similar Measures --
Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension --
On Hybrid Methods for Bifurcation and Center Manifolds for General Operators --
Dimension Theory of Smooth Dynamical Systems --
Collision of Control Sets --
The Algorithms Behind GAIO --
Set Oriented Numerical Methods for Dynamical Systems --
Polynomial Skew Products --
Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems --
Simulation and Numerical Analysis of Dendritic Growth --
Bifurcation Phenomena and Dynamo Effect in Electrically Conducting Fluids --
Cascades of Homoclinic Doubling Bifurcations --
Existence, Bifurcation, and Stability of Profiles for Classical and Non-Classical Shock Waves --
Dynamical Systems of Population Dynamics --
Topological and Measurable Dynamics of Lorenz Maps --
Three-Dimensional Steady Capillary-Gravity Waves --
Discretization, Inflation and Perturbation of Attractors --
Aspects on Data Analysis and Visualization for Complicated Dynamical Systems --
Non-Smooth Dynamical Systems: An Overview --
Forced Symmetry Breaking and Relative Periodic Orbits --
On Dynamics and Bifurcations of Nonlinear Evolution Equations Under Numerical Discretization --
Evolution of Microstructure: an Example --
An Extension of the Thermodynamic Formalism Approach to Selberg's Zeta Function for General Modular Groups --
Stability and Diffusive Dynamics on Extended Domains --
Dimension Estimates for Invariant Sets of Dynamical Systems --
On the Inverse Problem of Fractal Compression --
The Orbit Space Method: Theory and Application --
Multi-Pulse Homoclinic Loops in Systems with a Smooth First Integral --
Quantum Chaos and Quantum Ergodicity --
Periodic Orbits and Attractors for Autonomous Reaction-Diffusion Systems --
Unconditionally Stable Explicit Schemes for the Approximation of Conservation Laws --
Color Plates --
Author Index.
Responsibility: edited by Bernold Fiedler.

Abstract:

Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and  Read more...

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