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: Dynamics of Nonlinear Time-Delay Systems
  name:
    name part: Lakshmanan, Muthusamy.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Senthilkumar, Dharmapuri Vijayan.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 313 p. online resource.
  abstract: Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.
  table of contents: Delay Differential Equations -- Linear Stability and Bifurcation Analysis -- Bifurcation and Chaos in Time-delayed Piecewise Linear -- A Few Other Interesting Chaotic Delay Differential Equations -- Implications of Delay Feebdack: Amplitude Death and Other Effects -- Recent Developments on Delay Feedback/Coupling: Complex -- Complete Synchronization in Coupled Time-delay Systems -- Transition from Anticipatory to Lag Synchronization via Complete -- Intermittency Transition to Generalized Snychronization -- Transition from Phase to Generalized Synchronization -- DTM Induced Oscillating Synchronization -- Exact Solutions of Certain Time Delay Systems: The Car-following Models -- A Computing Lyapunov Exponents for Time-delay systems -- B A Brief Introduction to Synchronization in Chaotic Dynamical Systems -- C Recurrence Analysis -- References -- Glossary -- Index.
  note: by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar.
  subject:
    topic: Physics
  subject:
    topic: System theory
  subject:
    topic: Statistical physics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Dynamics
  subject:
    topic: Electronic circuits
  subject:
    topic: Physics
  subject:
    topic: Nonlinear Dynamics
  subject:
    topic: Vibration, Dynamical Systems, Control
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  subject:
    topic: Complex Networks
  subject:
    topic: Circuits and Systems
  classification: QC174.7-175.36
  classification: 621
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Series in Synergetics
  identifier: 9783642149382
  identifier: http://dx.doi.org/10.1007/978-3-642-14938-2
  record info:
    record creation date: 110103
    record change date: 20151204140805.0
    record identifier: 978-3-642-14938-2