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: Geography of Order and Chaos in Mechanics
    sub title: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools
  name:
    name part: Cordani, Bruno.
    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: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 334 p. online resource.
  abstract: This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through modern tools such as the frequency-modified fourier transform, wavelets, and the frequency-modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics contains many figures that illuminate its concepts in novel ways, but perhaps its most useful feature is its inclusion of software to reproduce the various numerical experiments. The graphical user interfaces of five supplied MATLAB programs allows readers without any knowledge of computer programming to visualize and experiment with the distribution of order, chaos and resonances in various Hamiltonian systems. This monograph will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.
  table of contents: Preface -- List of Figures -- 1 Introductory Survey -- 2 Analytical Mechanics and Integrable Systems -- 3 Perturbation Theory -- 4 Numerical Tools I: ODE Integration -- 5 Numerical Tools II: Detecting Order, Chaos, and Resonances -- 6 The Kepler Problem -- 7 The KEPLER Program -- 8 Some Perturbed Keplerian Systems -- 9 The Multi-Body Gravitational Problem -- Bibliography -- Index.
  note: by Bruno Cordani.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Differential geometry
  subject:
    topic: Mathematical physics
  subject:
    topic: Physics
  subject:
    topic: Statistical physics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Differential Geometry
  subject:
    topic: Nonlinear Dynamics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Numerical and Computational Physics
  subject:
    topic: Mathematical Methods in Physics
  classification: QA401-425
  classification: QC19.2-20.85
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Progress in Mathematical Physics ; 64
  identifier: 9780817683702
  identifier: http://dx.doi.org/10.1007/978-0-8176-8370-2
  record info:
    record creation date: 120930
    record change date: 20151125231330.0
    record identifier: 978-0-8176-8370-2