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:
    non sort: The
    title: Parameterization Method for Invariant Manifolds
    sub title: From Rigorous Results to Effective Computations
  name:
    name part: Haro, Àlex.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Canadell, Marta.
    role:
      role term: author.
  name:
    name part: Figueras, Jordi-Lluis.
    role:
      role term: author.
  name:
    name part: Luque, Alejandro.
    role:
      role term: author.
  name:
    name part: Mondelo, Josep Maria.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 267 p. 58 illus., 55 illus. in color. online resource.
  abstract: This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.
  table of contents: An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori.
  note: by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo.
  subject:
    topic: Mathematics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Partial differential equations
  subject:
    topic: Numerical analysis
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Statistical Physics, Dynamical Systems and Complexity
  subject:
    topic: Numerical Analysis
  subject:
    topic: Partial Differential Equations
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied Mathematical Sciences, 195
  identifier: 9783319296623
  identifier: http://dx.doi.org/10.1007/978-3-319-29662-3
  record info:
    record creation date: 160418
    record change date: 20171004141638.0
    record identifier: 978-3-319-29662-3