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: Symmetry and perturbation theory in nonlinear dynamics
  name:
    name part: Cicogna, Giampaolo
    name part: 1942-
    role:
      role term: creator
  name:
    name part: Gaeta, Giuseppe
    name part: 1959-
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 208 pages)
  abstract: This book deals with the theory of Poincar--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.
  table of contents: Introduction -- Symmetry and Differential Equations -- Dynamical Systems -- Symmetries of Dynamical Systems -- Normal Forms and Symmetries for Dynamical Systems -- Normal Forms and Symmetries for Hamiltonian Systems -- Convergence of the Normalizing Transformations -- Invariant Manifolds -- Asymptotic Symmetries -- Further Normalization -- References.
  target audience: specialized
  note: Giampaolo Cicogna, Giuseppe Gaeta.
  note: Electronic resource.
  note: Includes bibliographical references (pages 193-208).
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Normal forms (Mathematics)
  subject:
    topic: Symmetry (Physics)
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Differentiable dynamical systems
  subject:
    topic: Normal forms (Mathematics)
  subject:
    topic: Perturbation (Mathematics)
  subject:
    topic: Symmetry (Physics)
  classification: QA614.8
  classification: 515/.352
  related item:
    title info:
      title: Symmetry and perturbation theory in nonlinear dynamics
    name:
      name part: Cicogna, Giampaolo, 1942-
    origin info:
      publisher: Berlin ; New York : Springer, 1999
    identifier: (DLC) 99049856
    identifier: (OCoLC)42476780
  related item:
    title info:
      title: Lecture notes in physics. m57
      part number: New series m
      part name: Monographs
  identifier: 9783540488743 (electronic bk.)
  identifier: 354048874X (electronic bk.)
  identifier: 3540659048
  identifier: 9783540659044
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: EYM
    record creation date: 020905
    record change date: 20260422201946.2
    record identifier: in00003515343
    language of cataloging:
      language term: eng