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: Chaos Detection and Predictability
  name:
    name part: Skokos, Charalampos (Haris).
    role:
      role term: editor.
  name:
    name part: Gottwald, Georg A.
    role:
      role term: editor.
  name:
    name part: Laskar, Jacques.
    role:
      role term: editor.
  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: XI, 269 p. 122 illus., 44 illus. in color. online resource.
  abstract: Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ‘0-1’ test for chaos.
  table of contents: Estimating Lyapunov exponents from time series -- Theory and applications of the fast Lyapunov Indicator (FLI) method -- Theory and applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) methods -- Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method -- The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detection -- The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy -- The 0-1 Test for Chaos: A review.
  note: edited by Charalampos (Haris) Skokos, Georg A. Gottwald, Jacques Laskar.
  subject:
    topic: Physics
  subject:
    topic: Physical geography
  subject:
    topic: Mathematical physics
  subject:
    topic: Space sciences
  subject:
    topic: Statistical physics
  subject:
    topic: Physics
  subject:
    topic: Nonlinear Dynamics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Extraterrestrial Physics, Space Sciences
  subject:
    topic: Earth System Sciences
  classification: QC174.7-175.36
  classification: 621
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Physics, 915
  identifier: 9783662484104
  identifier: http://dx.doi.org/10.1007/978-3-662-48410-4
  record info:
    record creation date: 160303
    record change date: 20160530155525.0
    record identifier: 978-3-662-48410-4