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:
    non sort: The
    title: space of dynamical systems with the C⁰-topology
  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: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (viii, 188 pages) : illustrations.
  abstract: 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.
  table of 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.
  note: Sergei Yu. Pilyugin.
  note: Electronic resource.
  note: 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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [183]-186) and index.
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Stability
  subject:
    topic: Dynamique différentiable
  subject:
    topic: Perturbation (Mathématiques)
  subject:
    topic: Stabilité
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Stability
  subject:
    topic: Gewone differentiaalvergelijkingen
  subject:
    topic: Manifolds
  classification: QA3 .L28 no. 1571
  classification: QA614.87
  classification: 515.39
  classification: 31.00
  classification: 31.55
  related item:
    title info:
      title: Space of dynamical systems with the C⁰-topology
    name:
      name part: Pilyugin, Sergei Yu. (Sergei Yurievitch), 1947-
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1994
    identifier: (DLC) 94000887
    identifier: (OCoLC)29843593
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1571
  identifier: 9783540483144 (electronic bk.)
  identifier: 3540483144 (electronic bk.)
  identifier: 9783540577027
  identifier: 3540577025
  identifier: 9780387577029
  identifier: 0387577025
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 090119
    record change date: 20260422201008.0
    record identifier: in00003506301
    language of cataloging:
      language term: eng