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: Periodic Flows to Chaos in Time-delay Systems
  name:
    name part: Luo, Albert C. J.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 198 p. 30 illus., 15 illus. in color. online resource.
  abstract: This book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems. Facilitates discovery of analytical solutions of nonlinear time-delay systems; Illustrates bifurcation trees of periodic motions to chaos; Helps readers identify motion complexity and singularity; Explains procedures for determining stability, bifurcation and chaos.
  table of contents: Linear Time-delay Systems -- Nonlinear Time-delay System -- Periodic Flows in Time-delay Systems -- Quasiperiodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator.
  note: by Albert C. J. Luo.
  subject:
    topic: Engineering
  subject:
    topic: System theory
  subject:
    topic: Complexity, Computational
  subject:
    topic: Engineering
  subject:
    topic: Complexity
  subject:
    topic: Complex Systems
  subject:
    topic: Applications of Nonlinear Dynamics and Chaos Theory
  classification: QA76.9.M35
  classification: 620
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Nonlinear Systems and Complexity, 16
  identifier: 9783319426648
  identifier: http://dx.doi.org/10.1007/978-3-319-42664-8
  record info:
    record creation date: 160917
    record change date: 20160917083511.0
    record identifier: 978-3-319-42664-8