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.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2000
    edition: Second Edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XX, 318 p. online resource.
  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.
  note: by Frank C. Hoppensteadt.
  subject:
    topic: Mathematics
  subject:
    topic: Ecology
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Biomathematics
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Mathematical and Computational Biology
  subject:
    topic: Ecology
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied Mathematical Sciences, 94
  identifier: 9780387226989
  identifier: http://dx.doi.org/10.1007/b98824
  record info:
    record creation date: 100301
    record change date: 20151204145105.0
    record identifier: 978-0-387-22698-9