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: Differential equations and dynamical systems
  name:
    name part: Perko, Lawrence.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  genre: Aufgabensammlung.
  origin info:
    place:
      place term: nyu
    date issued: 1996
    edition: 2nd ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xiv, 519 pages) : illustrations.
  abstract: This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem, the use of the Poincare map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles. In addition to minor corrections and updates throughout, this new edition contains materials on higher order Melnikov functions and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems.
  table of contents: Linear Systems -- Nonlinear Systems: Local Theory (includes new sections on Manifold theory and normal form theory) -- Nonlinear Systems: Global theory -- Nonlinear Systems: Bifurcation Theory (includes new sections on Global bifurcation of systems in R2, Second and higher order Melnikov theory, Taken's Bogdanov Bifurcation, Cappel problem for binded quadratic systems).
  note: Lawrence Perko.
  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 [507]-512) and index.
  subject:
    topic: Differential equations, Nonlinear
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differential equations, Nonlinear
  subject:
    topic: Equações diferenciais
  subject:
    topic: Sistemas dinamicos
  subject:
    topic: Gewöhnliche Differentialgleichung
  subject:
    topic: Nichtlineare Differentialgleichung
  subject:
    topic: Dynamisches System
  classification: QA372 .P47 1996
  classification: 515/.353
  classification: 27
  classification: MAT 344f
  classification: SK 520
  classification: SK 810
  related item:
    title info:
      title: Differential equations and dynamical systems
    name:
      name part: Perko, Lawrence.
    origin info:
      publisher: New York : Springer, ©1996
      edition: 2nd ed.
    identifier: (DLC) 96015204
    identifier: (OCoLC)34513461
  related item:
    title info:
      title: Texts in applied mathematics ; 7
  identifier: 9781468402490 (electronic bk.)
  identifier: 1468402498 (electronic bk.)
  identifier: 0387947787 (hard : acid-free paper)
  identifier: 9780387947785 (hard : acid-free paper)
  identifier: 0387974431
  identifier: 9780387974439
  identifier: 9781468402513
  identifier: 146840251X
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 101117
    record change date: 20260420211444.2
    record identifier: in00003511955
    language of cataloging:
      language term: eng