• DocumentCode
    430734
  • Title

    Estimating good local cross sections of expansive flow

  • Author

    Fukuda, Koji ; Aihara, Kazuyuki

  • Author_Institution
    Dept. of Complexity Sci. & Eng., Tokyo Univ., Japan
  • Volume
    1
  • fYear
    2004
  • fDate
    6-9 Dec. 2004
  • Firstpage
    585
  • Abstract
    Theory of a continuous-time dynamical system (flow) shows that choosing local cross sections properly symbolic suspension of an expansive flow conserves the topological properties of the original flow. We propose a simple method to estimate good local cross sections inspired by symbolic false nearest neighbors method to find the generating partition for discrete-time dynamical systems and apply it to the Rossler system. The relationship between local cross sections and template of flow is also considered.
  • Keywords
    continuous time systems; discrete time systems; network topology; nonlinear dynamical systems; nonlinear network analysis; Rossler system; continuous-time dynamical system; discrete-time dynamical systems; expansive flow; generating partition; local cross section; symbolic false nearest neighbors method; Chaos; Circuits and systems; Differential equations; Extraterrestrial measurements; Nearest neighbor searches; Pensions; Sun;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2004. Proceedings. The 2004 IEEE Asia-Pacific Conference on
  • Print_ISBN
    0-7803-8660-4
  • Type

    conf

  • DOI
    10.1109/APCCAS.2004.1412830
  • Filename
    1412830