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The Space of Dynamical Systems with the C0-Topology : Lecture Notes in Mathematics - Sergei Yu Pilyugin

The Space of Dynamical Systems with the C0-Topology

Lecture Notes in Mathematics

Paperback Published: 28th March 1994
ISBN: 9783540577027
Number Of Pages: 194

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This book is an introduction to main methods and principalresults in the theory of Co(remark: o is upperindex!!)-small perturbations of dynamical systems. It is thefirst comprehensive treatment of this topic. In particular,Co(upper index!)-generic properties of dynamical systems,topological stability, perturbations of attractors, limitsets of domains are discussed. The book contains some newresults (Lipschitz shadowing of pseudotrajectories instructurally stable diffeomorphisms for instance). The aimof the author was to simplify and to "visualize" some basicproofs, so the main part of the book is accessible tograduate students in pure and applied mathematics. The bookwill also be a basic reference for researchers in variousfields of dynamical systems and their applications,especially for those who study attractors orpseudotrajectories generated by numerical methods.

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

ISBN: 9783540577027
ISBN-10: 3540577025
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 194
Published: 28th March 1994
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.09
Weight (kg): 0.29