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: Structures in dynamics
    sub title: finite dimensional deterministic studies
  name:
    name part: Broer, H. W. (Hendrik Wolter)
    name part: 1950-
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: New York, N.Y
    publisher: North-Holland
    publisher: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
    date issued: ©1991
    date issued: 1991
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 309 pages) : illustrations
  abstract: The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account. Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs. All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.
  table of contents: Front Cover; Structures in Dynamics: Finite Dimensional Deterministic Studies; Copyright Page; Preface; Table of Contents; Chapter 1. Introduction to dynamical systems; 1.1 What is a dynamical system?; 1.2 Setting of the problem; 1.3 References; Chapter 2. Genericity and structural stability; 2.1 Persistence, topology; 2.2 Equivalent dynamics, structural stability; 2.3 Is structural stability a generic property?; 2.4 Miscellaneous remarks; 2.5 Vector fields on compact surfaces; 2.6 References; Chapter 3. Bifurcations; 3.1 The saddle node bifurcation; 3.2 The period doubling bifurcation
  table of contents: 3.3 The Hopf bifurcation3.4 Final remarks; 3.5 References; Chapter 4. A family of quasi-periodic attractors; 4.1 Definition of quasi-periodicity, setting of the problem; 4.2 Two examples, a preliminary perturbation analysis; 4.3 The perturbation problem for circle maps; 4.4 Some conservative remarks; 4.5 References; Chapter 5. Chaos; 5.1 Time series; 5.2 Prediction procedure; 5.3 Interpretation of dimension and entropy for dynamical systems; 5.4 On the definition of chaos; 5.5 Chaos: probabilistic aspects; 5.6 References; Chapter 6. Interval maps; 6.1 Combinatorics of interval maps
  table of contents: 6.2 Topological properties of interval maps6.3 Metric and statistical results; 6.4 Some final remarks; 6.5 References; Chapter 7. Local study of planar vector fields: singularities and their unfoldings; 7.1 Introduction; 7.2 Study of the singularities; 7.3 Versal unfoldings for singularities of vector fields; 7.4 Reduction to the centre manifold; 7.5 Blowing up; 7.6 Normal forms; 7.7 C°°-unfoldings on R and semi-hyperbolic bifurcations on R2; 7.8 Hopf-Takens bifurcations on R2; 7.9 Some global bifurcations of codimension 1 on the plane; 7.10 The Bogdanov-Takens bifurcation; 7.11 References
  table of contents: Chapter 8. The thermodynamic formalism8.1 Invariant measures for dynamical systems; 8.2 Measures describing thermodynamic states; 8.3 The Ruelle operator; 8.4 References; Chapter 9. Conservative dynamical systems; 9.1 Introduction; 9.2 Examples of integrable systems; 9.3 Hamiltonian systems; 9.4 Integrable systems; 9.5 Near integrability; 9.6 References; Subject index
  note: H.W. Broer [and others].
  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 and index.
  note: English.
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Dynamique différentiable
  subject:
    topic: MATHEMATICS
    topic: Differential Equations
    topic: Ordinary
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Nichtlineares dynamisches System
  subject:
    topic: Aufsatzsammlung
  subject:
    topic: Dynamische systemen
  subject:
    topic: Chaos
  subject:
    topic: Niet-lineaire dynamica
  subject:
    topic: Systèmes dynamiques
  subject:
    topic: Dynamique différentiable
  subject:
    topic: Physique mathématique
  classification: QA614.8 .S77 1991eb
  classification: 515/.352
  classification: 33.27
  classification: 33.62
  classification: *58-01
  classification: 00B15
  classification: 37D45
  related item:
    title info:
      title: Structures in dynamics
    origin info:
      publisher: Amsterdam : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., ©1991
    identifier: (DLC) 91024883
    identifier: (OCoLC)24067240
  related item:
    title info:
      title: Studies in mathematical physics ; v. 2
  identifier: 9780444596253
  identifier: 0444596259
  identifier: 0444892575
  identifier: 9780444892577
  identifier: 0444892583
  identifier: 9780444892584
  identifier: 91024883
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 130603
    record change date: 20260326194726.9
    record identifier: in00005752339
    language of cataloging:
      language term: eng