Oscillatory modes generated by Hopf bifurcations in coupled four oscillators

  • Kitajima, Hiroyuki (Dept. of Reliability-based Information systems Engineering, Kagawa University) ;
  • Kawakami, Hiroshi (Dept. of Electrical and Electronics Engineering, The University of Tokushima)
  • Published : 2002.07.01

Abstract

We examine the oscillatory modes generated by the Hopf bifurcations of non-origin equilibrium points in the four-coupled oscillator system. The Hopf bifurcations of the equilibrium points and the generated oscillatory modes are classified. By numerical bifurcation analysis we observe various interesting synchronized states caused by symmetry-breaking bifurcations.

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