Six lectures on dynamical systems
by Aulbach, Bernd Colonius, Fritz
Dynamical systems: The topological foundations / Ethan Akin -- Integral manifolds for Caratheodory type differential equations in Banach spaces / Bernd Aulbach and Thomas Wanner -- Control theory and dynamical systems / Fritz Colonius and Wolfgang Kliemann -- Shadowing in discrete dynamical systems / Brian A. Coomes, Huseyin Kocak and Kenneth J. Palmer -- Perturbations of invariant manifolds of ordinary differential equations / George Osipenko and Eugene Ershov -- The reduction of discrete dyna…
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- Full title :Six lectures on dynamical systems / editors, B. Aulbach & F. Colonius
Summary
Dynamical systems: The topological foundations / Ethan Akin -- Integral manifolds for Caratheodory type differential equations in Banach spaces / Bernd Aulbach and Thomas Wanner -- Control theory and dynamical systems / Fritz Colonius and Wolfgang Kliemann -- Shadowing in discrete dynamical systems / Brian A. Coomes, Huseyin Kocak and Kenneth J. Palmer -- Perturbations of invariant manifolds of ordinary differential equations / George Osipenko and Eugene Ershov -- The reduction of discrete dynamical and semidynamical systems in metric spaces / Andrejs Reinfelds
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
Edition Statements
- Publication Date:©1996
Publication Statements
- Publisher(s):World Scientific Pub. Co
- Place of Publication:Singapore
- Language:eng
- Publication Date:©1996
The Physical Object
- Description:1 Online-Ressource (ix, 312 Seiten) : Illustrationen
Edition Identifiers
- ISBN:9810225482, 9789810225483, 9789812812865, 9812812865
- oclc:on1005231615
- LC Classification:QA614.8
- Dewey Decimal:515.352
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