Coverart for item
The Resource The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin

The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin

Label
The space of dynamical systems with the C0-topology
Title
The space of dynamical systems with the C0-topology
Statement of responsibility
Sergei Yu. Pilyugin
Creator
Subject
Language
eng
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
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1947-
http://library.link/vocab/creatorName
Pilyugin, Sergei Yu.
Dewey number
515.39
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA614.87
LC item number
.L28 no. 1571
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1571
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Perturbation (Mathematics)
  • Stability
  • Differentiable dynamical systems
  • Perturbation (Mathematics)
  • Stability
  • Gewone differentiaalvergelijkingen
  • Manifolds
Label
The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 183-186) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 0. Definitions and Preliminary Results. 0.1. Spaces of Dynamical Systems. 0.2. The Space M[superscript *]. 0.3. The C[superscript 0]-Closing Lemma. 0.4. Hyperbolic Sets -- Ch. 1. Generic Properties of Dynamical Systems. 1.1. Tolerance Stability. 1.2. Pseudotrajectories. 1.3. Prolongations. 1.4. Returning Points and Filtrations -- Ch. 2. Topological Stability. 2.1. General Properties of Topologically Stable Systems. 2.2. Topological Stability of Systems with Hyperbolic Structure. 2.3. Topologically Stable Dynamical Systems on the Circle
Control code
298705298
Dimensions
unknown
Extent
1 online resource (viii, 188 pages)
Form of item
online
Isbn
9783540483144
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298705298
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
The space of dynamical systems with the C0-topology, Sergei Yu. Pilyugin
Publication
Bibliography note
Includes bibliographical references (pages 183-186) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 0. Definitions and Preliminary Results. 0.1. Spaces of Dynamical Systems. 0.2. The Space M[superscript *]. 0.3. The C[superscript 0]-Closing Lemma. 0.4. Hyperbolic Sets -- Ch. 1. Generic Properties of Dynamical Systems. 1.1. Tolerance Stability. 1.2. Pseudotrajectories. 1.3. Prolongations. 1.4. Returning Points and Filtrations -- Ch. 2. Topological Stability. 2.1. General Properties of Topologically Stable Systems. 2.2. Topological Stability of Systems with Hyperbolic Structure. 2.3. Topologically Stable Dynamical Systems on the Circle
Control code
298705298
Dimensions
unknown
Extent
1 online resource (viii, 188 pages)
Form of item
online
Isbn
9783540483144
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298705298
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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