Name: the space of dynamical systems with the c0-topology
SKU: 3485796
Price: 555.00 ZAR
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Author: pilyugin
ISBN: 9783540577027

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portada the space of dynamical systems with the c0-topology

the space of dynamical systems with the c0-topology

Type

Physical Book

Publisher

Springer

Author

pilyugin

Language

English

Pages

188

ISBN

3540577025

ISBN13

9783540577027

Synopsis "the space of dynamical systems with the c0-topology"

this book is an introduction to main methods and principal results in the theory of co(remark: o is upper index!!)-small perturbations of dynamical systems. it is the first comprehensive treatment of this topic. in particular, co(upper index!)-generic properties of dynamical systems, topological stability, perturbations of attractors, limit sets of domains are discussed. the book contains some new results (lipschitz shadowing of pseudotrajectories in structurally stable diffeomorphisms for instance). the aim of the author was to simplify and to visualize some basic proofs, so the main part of the book is accessible to graduate students in pure and applied mathematics. the book will also be a basic reference for researchers in various fields of dynamical systems and their applications, especially for those who study attractors or pseudotrajectories generated by numerical methods.