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The Space of Dynamical Systems with the C0-Topology / by Sergei Yu. Pilyugin.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1571.
- Lecture Notes in Mathematics, 0075-8434 ; 1571
- Language:
- English
- Subjects (All):
- Global analysis (Mathematics).
- Global differential geometry.
- Analysis.
- Differential Geometry.
- Local Subjects:
- Analysis.
- Differential Geometry.
- Physical Description:
- 1 online resource (CCIV, 194 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994.
- System Details:
- text file PDF
- 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.
- Contents:
- Definitions and preliminary results
- Generic properties of dynamical systems
- Topological stability
- Perturbations of atrractors
- Limit sets of domains.
- Other Format:
- Printed edition:
- ISBN:
- 9783540483144
- Access Restriction:
- Restricted for use by site license.
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