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AuthorPilyugin, Sergei Yu. author
TitleThe Space of Dynamical Systems with the C0-Topology [electronic resource] / by Sergei Yu. Pilyugin
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1994
Connect tohttp://dx.doi.org/10.1007/BFb0073519
Descript CCIV, 194 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Mathematical analysis Analysis (Mathematics) Differential geometry Mathematics Analysis Differential Geometry



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