BIFURCATIONS AND TRANSITION TO CHAOS THROUGH THREE-DIMENSIONAL TORI

  • V.S. ANISHCHENKO
    Saratov State University, 410071, Saratov, Russia
  • M.A. SAFONOVA
    Saratov State University, 410071, Saratov, Russia
  • U. FEUDEL
    Arbeitsgruppe Nichtlineare Dynamik der Max-Planck-Gesellschaft an der Universität Potsdam, Am Neuen Palais, Geb. 19, PF 601553, D-14415 Potsdam, Germany
  • J. KURTHS
    Arbeitsgruppe Nichtlineare Dynamik der Max-Planck-Gesellschaft an der Universität Potsdam, Am Neuen Palais, Geb. 19, PF 601553, D-14415 Potsdam, Germany

書誌事項

公開日
1994-06
DOI
  • 10.1142/s0218127494000423
公開者
World Scientific Pub Co Pte Lt

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説明

<jats:p> The breakdown of three-dimensional tori T<jats:sup>3</jats:sup> and the transition to chaos are studied numerically in a periodically forced system of two coupled logistic maps. We have shown that for small perturbations the breakdown of T<jats:sup>3</jats:sup> possesses the same features as in the T<jats:sup>2</jats:sup> case described by the theorem of Afraimovich and Shil’nikov. Remarkably, some indications for a chaotic motion on T<jats:sup>3</jats:sup> are found. </jats:p>

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