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: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2004
    edition: Third edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xxii, 634 pages)
  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: by Yuri A. Kuznetsov.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differential equations
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Differential equations
  subject:
    topic: Mathematics
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Applied mathematical sciences (Springer-Verlag New York Inc.) ; 112
  identifier: 9781475739787 (electronic bk.)
  identifier: 1475739788 (electronic bk.)
  identifier: 9781441919519
  identifier: 1441919511
  identifier: 1475739788
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130125
    record change date: 20260422221158.4
    record identifier: in00003577027
    language of cataloging:
      language term: eng