• DocumentCode
    2105642
  • Title

    Multistability of partially synchronous regimes in a system of three coupled logistic maps

  • Author

    Nikolaev, Sergey M. ; Shabunin, Alexey V. ; Astakhov, Vladimir V.

  • Author_Institution
    Dept. of Radiophys. & Nonlinear Dynamics, Saratov State Univ., Russia
  • fYear
    2005
  • fDate
    24-26 Aug. 2005
  • Firstpage
    169
  • Lastpage
    173
  • Abstract
    We research the bifurcations of partially synchronous periodic orbits which lead to the multistability formation in a system of three coupled logistic maps with symmetrical diffusive coupling. We demonstrate that the partially synchronous regimes appear as results of saddle-node bifurcations. The mechanisms of stability loss of partial synchronization of chaos are discussed.
  • Keywords
    bifurcation; chaos; nonlinear dynamical systems; numerical stability; synchronisation; bifurcations; chaos; multistability formation; nonlinear oscillatory system; partial synchronisation; partially synchronous periodic orbits; saddle-node bifurcations; stability loss; symmetrical diffusive coupling; three coupled logistic maps; Bifurcation; Chaos; Control systems; Extraterrestrial phenomena; Logistics; Nonlinear dynamical systems; Orbits; Ring oscillators; Robust stability; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2005. Proceedings. 2005 International Conference
  • Print_ISBN
    0-7803-9235-3
  • Type

    conf

  • DOI
    10.1109/PHYCON.2005.1513972
  • Filename
    1513972