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: Analysis and simulation of chaotic systems
  name:
    name part: Hoppensteadt, Frank C. (Frank Charles)
    name part: 1938-
    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: 2000
    edition: 2nd ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xx, 315 pages) : illustrations.
  abstract: Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable mathematical models that are amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on perturbation methods. Because of this, the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. This explains why stability results developed for quite simple problems are often useful for more complicated, even chaotic, ones. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro- differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.
  table of contents: Linear systems -- Dynamical systems -- Stability methods for nonlinear systems -- Bifurcation and topological methods -- Regular perturbation methods -- Iterations and perturbations -- Methods of averaging -- Quasistatic-state approximations -- Supplementary exercises.
  note: Frank C. Hoppensteadt.
  note: With 73 illustrations.
  note: Electronic resource.
  note: Includes bibliographical references and index.
  subject:
    topic: Chaotic behavior in systems
  subject:
    topic: Computer science
  subject:
    topic: Science
  subject:
    topic: MATHEMATICS
    topic: Pre-Calculus
  subject:
    topic: SCIENCE
    topic: Chaotic Behavior in Systems
  subject:
    topic: MATHEMATICS
    topic: Reference
  subject:
    topic: MATHEMATICS
    topic: Essays
  subject:
    topic: Chaotic behavior in systems
  subject:
    topic: Chaos (théorie des systèmes)
    topic: Simulation, Méthodes de
  classification: QA1 .A647 vol. 94 2000
  classification: Q172.5.C45eb
  classification: 510
  classification: 003/.857
  related item:
    title info:
      title: Analysis and simulation of chaotic systems
    name:
      name part: Hoppensteadt, F.C.
    origin info:
      publisher: New York : Springer, ©2000
      edition: 2nd ed.
    identifier: (DLC) 99046357
    identifier: (OCoLC)42296433
  related item:
    title info:
      title: Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 94
  identifier: 0387226982
  identifier: 9780387226989
  identifier: 9780387989433
  identifier: 0387989439
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 040402
    record change date: 20260420220156.5
    record identifier: in00003502301
    language of cataloging:
      language term: eng