Coverart for item
The Resource Shadowing in dynamical systems, Sergei Yu. Pilyugin

Shadowing in dynamical systems, Sergei Yu. Pilyugin

Label
Shadowing in dynamical systems
Title
Shadowing in dynamical systems
Statement of responsibility
Sergei Yu. Pilyugin
Creator
Subject
Language
eng
Summary
This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods
Member of
Cataloging source
BUF
http://library.link/vocab/creatorDate
1947-
http://library.link/vocab/creatorName
Pilyugin, Sergei Yu.
Dewey number
  • 510 s
  • 515/.352
Index
index present
Language note
English
LC call number
QA3
LC item number
.L28 no. 1706
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1706
http://library.link/vocab/subjectName
  • Shadowing (Differentiable dynamical systems)
  • Differential equations
  • Differentiable dynamical systems
  • Differentiable dynamical systems
  • Differential equations
  • Shadowing (Differentiable dynamical systems)
  • Dynamisches System
  • Trajektorie
  • Qualitative Theorie
  • Dynamische systemen
  • Differentiaalvergelijkingen
  • Sistemas dinamicos
  • Équations différentielles
  • Systèmes dynamiques
  • Dynamique différentiable
Label
Shadowing in dynamical systems, Sergei Yu. Pilyugin
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 259-267) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Shadowing Near an Invariant Set: Basic Definitions. Shadowing Near a Hyperbolic Set for a Diffeomorphism. Shadowing for Mappings of Banach Spaces. Limit Shadowing. Shadowing for Flows -- Topologically Stable, Structurally Stable, and Generic Systems: Shadowing and Topological Stability. Shadowing in Structurally Stable Systems. Shadowing in Two-Dimensional Diffeomorphisms. C0-Genericity of Shadowing for Homeomorphisms -- Systems with Special Structure: One-Dimensional Systems. Linear and Linearly Induced Systems. Lattice Systems. Global Attractors for Evolution Systems -- Numerical Applications of Shadowing: Finite Shadowing. Periodic Shadowing for Flows. Approximation of Spectral Characteristics. Approximation of the Morse Spectrum. Discretizations of PDEs -- References -- Index
Control code
159958572
Dimensions
unknown
Extent
1 online resource (xvi, 271 pages).
Form of item
online
Isbn
9783540484295
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0093184
Specific material designation
remote
System control number
(OCoLC)159958572
Label
Shadowing in dynamical systems, Sergei Yu. Pilyugin
Publication
Bibliography note
Includes bibliographical references (pages 259-267) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Shadowing Near an Invariant Set: Basic Definitions. Shadowing Near a Hyperbolic Set for a Diffeomorphism. Shadowing for Mappings of Banach Spaces. Limit Shadowing. Shadowing for Flows -- Topologically Stable, Structurally Stable, and Generic Systems: Shadowing and Topological Stability. Shadowing in Structurally Stable Systems. Shadowing in Two-Dimensional Diffeomorphisms. C0-Genericity of Shadowing for Homeomorphisms -- Systems with Special Structure: One-Dimensional Systems. Linear and Linearly Induced Systems. Lattice Systems. Global Attractors for Evolution Systems -- Numerical Applications of Shadowing: Finite Shadowing. Periodic Shadowing for Flows. Approximation of Spectral Characteristics. Approximation of the Morse Spectrum. Discretizations of PDEs -- References -- Index
Control code
159958572
Dimensions
unknown
Extent
1 online resource (xvi, 271 pages).
Form of item
online
Isbn
9783540484295
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0093184
Specific material designation
remote
System control number
(OCoLC)159958572

Library Locations

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      38.944491 -92.326012
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