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: Nonlinear Differential Equations and Dynamical Systems
  name:
    name part: Verhulst, Ferdinand.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1996
    edition: Second, rev. and Expanded edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (x, 303 pages 127 illustrations)
  abstract: On the subject of differential equations many elementary books have been written. This book bridges the gap between elementary courses and research literature. The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed first. Stability theory is then developed starting with linearisation methods going back to Lyapunov and Poincaré. In the last four chapters more advanced topics like relaxation oscillations, bifurcation theory, chaos in mappings and differential equations, Hamiltonian systems are introduced, leading up to the frontiers of current research: thus the reader can start to work on open research problems, after studying this book. This new edition contains an extensive analysis of fractal sets with dynamical aspects like the correlation- and information dimension. In Hamiltonian systems, topics like Birkhoff normal forms and the Poincaré-Birkhoff theorem on periodic solutions have been added. There are now 6 appendices with new material on invariant manifolds, bifurcation of strongly nonlinear self-excited systems and normal forms of Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, and is illustrated by many examples.
  note: by Ferdinand Verhulst.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Engineering mathematics
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Universitext
  identifier: 9783642614538 (electronic bk.)
  identifier: 3642614531 (electronic bk.)
  identifier: 9783540609346
  identifier: 3540609342
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260422200352.3
    record identifier: in00003562997
    language of cataloging:
      language term: eng