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: Elements of applied bifurcation theory
  name:
    name part: Kuznet͡sov, I͡U. A. (I͡Uriĭ Aleksandrovich)
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1998
    edition: 2nd ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xix, 591 pages) : illustrations.
  abstract: This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph. D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis. Reviews of earlier editions: "I know of no other book that so clearly explains the basic phenomena of bifurcation theory."--Math Reviews "The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject."--Bulletin of the AMS "It is both a toolkit and a primer"--UK Nonlinear News.
  table of contents: Introduction to Dynamical Systems -- Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems -- One-Parameter Bifurcations of Equilibria in Continuous-Time Systems -- One-Parameter Bifurcations of Fixed Points in Discrete-Time Systems -- Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Systems -- Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria -- Other One-Parameter Bifurcations in Continuous-Time Systems -- Two-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems -- Two-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems -- Numerical Analysis of Bifurcations -- A: Basic Notions from Algebra, Analysis, and Geometry -- References -- Index.
  note: Yuri A. Kuznetsov.
  note: Electronic resource.
  note: Includes bibliographical references and index.
  subject:
    topic: Bifurcation theory
  subject:
    topic: MATHEMATICS
    topic: Differential Equations
    topic: General
  subject:
    topic: Bifurcation theory
  subject:
    topic: Electronic books
  classification: QA1 .A647 vol. 112 1998
  classification: 515.35
  classification: QA380 .K89 1998
  related item:
    title info:
      title: Elements of applied bifurcation theory
    name:
      name part: Kuznet︠s︡ov, I︠U︡. A. (I︠U︡riĭ Aleksandrovich).
    origin info:
      publisher: New York : Springer, 1998
      edition: 2nd ed.
    identifier: (DLC) 97039336
    identifier: (OCoLC)37903503
  related item:
    title info:
      title: Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 112
  identifier: 0387227105 (electronic bk.)
  identifier: 9780387227108 (electronic bk.)
  identifier: 9780387983820
  identifier: 0387983821
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 040331
    record change date: 20260422203752.1
    record identifier: in00003502262
    language of cataloging:
      language term: eng