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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1947-
http://library.link/vocab/creatorName
Pilyugin, Sergei Yu.
Index
index present
LC call number
QA3
LC item number
.L28 no. 1706
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
1706
http://library.link/vocab/subjectName
  • Shadowing (Differentiable dynamical systems)
  • Differential equations
  • Differentiable dynamical systems
  • Dynamique différentiable
  • Équations différentielles
  • Differential equations
  • Shadowing (Differentiable dynamical systems)
  • Dynamische systemen
  • Differentiaalvergelijkingen
  • Sistemas dinamicos
Label
Shadowing in dynamical systems, Sergei Yu. Pilyugin
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [259]-267) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Shadowing Near an Invariant Set -- 1.1. Basic Definitions -- 1.2. Shadowing Near a Hyperbolic Set for a Diffeomorphism -- 1.2.1. Hyperbolic Sets -- 1.2.2. The Classical Shadowing Lemma -- 1.2.3. Shadowing for a Family of Approximate Trajectories -- 1.2.4. The Method of Bowen -- 1.3. Shadowing for Mappings of Banach Spaces -- 1.3.1. Shadowing for a Sequence of Mappings -- 1.3.2. Conditions of Uniqueness -- 1.3.3. Application to the Classical Shadowing Lemma -- 1.3.4. Theorems of Chow-Lin-Palmer and Steinlein-Walther -- 1.3.5. Finite-Dimensional Case -- 1.4. Limit Shadowing -- 1.4.1. Limit Shadowing Property -- 1.4.2. L[subscript p]-Shadowing -- 1.4.3. The Sacker-Sell Spectrum and Weighted Shadowing -- 1.4.4. Asymptotic Pseudotrajectories -- 1.5. Shadowing for Flows -- Ch. 2. Topologically Stable, Structurally Stable, and Generic Systems -- 2.1. Shadowing and Topological Stability -- 2.2. Shadowing in Structurally Stable Systems -- 2.2.1. The Case of a Flow -- 2.2.2. The Case of a Diffeomorphism -- 2.3. Shadowing in Two-Dimensional Diffeomorphisms -- 2.4. C[superscript 0]-Genericity of Shadowing for Homeomorphisms -- Ch. 3. Systems with Special Structure -- 3.1. One-Dimensional Systems -- 3.2. Linear and Linearly Induced Systems -- 3.3. Lattice Systems -- 3.4. Global Attractors for Evolution Systems -- Ch. 4. Numerical Applications of Shadowing -- 4.1. Finite Shadowing -- 4.2. Periodic Shadowing for Flows -- 4.3. Approximation of Spectral Characteristics -- 4.3.1. Evaluation of Upper Lyapunov Exponents -- 4.3.2. Approximation of the Morse Spectrum -- 4.4. Discretizations of PDEs -- 4.4.1. Shadowing in Discretizations -- 4.4.2. Discretization Errors on Unbounded Time Intervals
Dimensions
24 cm.
Extent
xvi, 271 pages
Isbn
9783540662990
Lccn
99038998
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)41871678
  • (OCoLC)ocm41871678
Label
Shadowing in dynamical systems, Sergei Yu. Pilyugin
Publication
Bibliography note
Includes bibliographical references (p. [259]-267) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Shadowing Near an Invariant Set -- 1.1. Basic Definitions -- 1.2. Shadowing Near a Hyperbolic Set for a Diffeomorphism -- 1.2.1. Hyperbolic Sets -- 1.2.2. The Classical Shadowing Lemma -- 1.2.3. Shadowing for a Family of Approximate Trajectories -- 1.2.4. The Method of Bowen -- 1.3. Shadowing for Mappings of Banach Spaces -- 1.3.1. Shadowing for a Sequence of Mappings -- 1.3.2. Conditions of Uniqueness -- 1.3.3. Application to the Classical Shadowing Lemma -- 1.3.4. Theorems of Chow-Lin-Palmer and Steinlein-Walther -- 1.3.5. Finite-Dimensional Case -- 1.4. Limit Shadowing -- 1.4.1. Limit Shadowing Property -- 1.4.2. L[subscript p]-Shadowing -- 1.4.3. The Sacker-Sell Spectrum and Weighted Shadowing -- 1.4.4. Asymptotic Pseudotrajectories -- 1.5. Shadowing for Flows -- Ch. 2. Topologically Stable, Structurally Stable, and Generic Systems -- 2.1. Shadowing and Topological Stability -- 2.2. Shadowing in Structurally Stable Systems -- 2.2.1. The Case of a Flow -- 2.2.2. The Case of a Diffeomorphism -- 2.3. Shadowing in Two-Dimensional Diffeomorphisms -- 2.4. C[superscript 0]-Genericity of Shadowing for Homeomorphisms -- Ch. 3. Systems with Special Structure -- 3.1. One-Dimensional Systems -- 3.2. Linear and Linearly Induced Systems -- 3.3. Lattice Systems -- 3.4. Global Attractors for Evolution Systems -- Ch. 4. Numerical Applications of Shadowing -- 4.1. Finite Shadowing -- 4.2. Periodic Shadowing for Flows -- 4.3. Approximation of Spectral Characteristics -- 4.3.1. Evaluation of Upper Lyapunov Exponents -- 4.3.2. Approximation of the Morse Spectrum -- 4.4. Discretizations of PDEs -- 4.4.1. Shadowing in Discretizations -- 4.4.2. Discretization Errors on Unbounded Time Intervals
Dimensions
24 cm.
Extent
xvi, 271 pages
Isbn
9783540662990
Lccn
99038998
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)41871678
  • (OCoLC)ocm41871678

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