Bifurcation and chaos in unidirectionally coupled oscillators

نویسندگان

  • Hiroyuki Kitajima
  • Hiroshi Kawakami
چکیده

| Bifurcations of equilibrium points and limit cycles in unidirectionally coupled three oscillators are studied. According to their symmetrical properties, we classify equilibrium points and limit cycles into three and eight di erent types, respectively. Possible oscillations in unidirectional coupled three oscillators are presented by calculating Hopf bifurcation sets of equilibrium points. We also observe chaotic oscillation caused by a cascade of period-doubling bifurcations.

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تاریخ انتشار 2000