Six Lectures on Dynamical Systems

Six Lectures on Dynamical Systems

Author: Bernd Aulbach

Publisher: World Scientific

ISBN: 9810225482

Category: Mathematics

Page: 332

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This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while others are of a survey character. In any case, emphasis is put on motivation and guiding ideas. Many examples are included.The papers of this volume grew out of a tutorial workshop for graduate students in mathematics held at the University of Augsburg. Each of the contributions is self-contained and provides an in-depth insight into some topic of current interest in the mathematical theory of dynamical systems. The text is suitable for courses and seminars on a graduate student level.
Six Lectures on Dynamical Systems
Language: en
Pages: 332
Authors: Bernd Aulbach, Fritz Colonius
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: World Scientific

This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while others are
Shadowing in Dynamical Systems
Language: en
Pages: 276
Authors: Sergei Yu. Pilyugin
Categories: Mathematics
Type: BOOK - Published: 1999-09-17 - Publisher: Springer

This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of
Shadowing in Dynamical Systems
Language: en
Pages: 276
Authors: Sergei Yu. Pilyugin
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of
Shadowing in Dynamical Systems
Language: en
Pages: 300
Authors: K.J. Palmer
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets are robust under perturbation, that they have an asymptotic
Topology and Dynamics of Chaos
Language: en
Pages: 364
Authors: Christophe Letellier, Robert Gilmore
Categories: Mathematics
Type: BOOK - Published: 2013-01-11 - Publisher: World Scientific

The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis