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Quasi-periodic Oscillations in the System of Three Chaotic Oscillators

  • Alexander P. Kuznetsov
  • Yuliya V. Sedova
  • Ludmila V. Turukina
Part of the Communications in Computer and Information Science book series (CCIS, volume 438)

Abstract

The dynamics of three coupled chaotic Rössler systems is considered. We discuss scenarios for the evolution of different types of regimes. The possibility of two- and three-frequency quasi-periodicity is shown. We considered the occurrence of resonanses on three-frequency torus, which leads to two-freqiency quasi-periodic regimes. The illustrations in the form of charts of the Lyapunov exponents, phase portraits of attractors plotted in the Poincare section and bifurcation diagrams are presented. We discuss the type of quasi-periodic bifurcation in the system.

Keywords

chaotic oscillations quasi-periodic oscillations invariant tori bifurcation 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Alexander P. Kuznetsov
    • 1
  • Yuliya V. Sedova
    • 1
  • Ludmila V. Turukina
    • 1
  1. 1.Kotel’nikov Institute of Radio-Engineering and electronics of RAS, Saratov BranchSaratovRussia

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