rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Shadowing in dynamical systems
  name:
    name part: Pilyugin, Sergei Yu. (Sergei Yurievitch)
    name part: 1947-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xvi, 271 pages)
  abstract: 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.
  table of 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.
  note: Sergei Yu. Pilyugin.
  note: Electronic resource.
  note: Includes bibliographical references (pages [259]-267) and index.
  subject:
    topic: Shadowing (Differentiable dynamical systems)
  subject:
    topic: Differential equations
    topic: Numerical solutions
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differential equations
    topic: Numerical solutions
  subject:
    topic: Shadowing (Differentiable dynamical systems)
  subject:
    topic: Dynamisches System
  subject:
    topic: Trajektorie
  subject:
    topic: Qualitative Theorie
  subject:
    topic: Équations différentielles
    topic: Solutions numériques
  subject:
    topic: Systèmes dynamiques
  subject:
    topic: Dynamique différentiable
  classification: QA3 .L28 no. 1706
  classification: 510 s 515/.352
  related item:
    title info:
      title: Shadowing in dynamical systems
    name:
      name part: Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947-
    origin info:
      publisher: Berlin ; New York : Springer, ©1999
    identifier: (DLC) 99038998
    identifier: (OCoLC)41871678
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1706
  identifier: 9783540484295 (electronic bk.)
  identifier: 3540484299 (electronic bk.)
  identifier: 3540662995
  identifier: 9783540662990
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: BUF
    record creation date: 070731
    record change date: 20260422160646.3
    record identifier: in00003509383
    language of cataloging:
      language term: eng