The Space of Dynamical Systems with the C0-Topology. 1st ed. 1994

種類:

電子ブック

責任表示:

by Sergei Yu. Pilyugin

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994

著者名:

• Pilyugin, Sergei Yu.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1571

ISBN:

9783540483144 [3540483144]    

注記:

Definitions and preliminary results -- Generic properties of dynamical systems -- Topological stability -- Perturbations of atrractors -- Limit sets of domains.
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.

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