Dynamical origin for the occurrence of asynchronous hyperchaos and chaos via blowout bifurcations.

نویسندگان

  • Sang-Yoon Kim
  • Woochang Lim
  • Edward Ott
  • Brian Hunt
چکیده

We investigate the dynamical origin for the occurrence of asynchronous hyperchaos and chaos via blowout bifurcations in coupled chaotic systems. An asynchronous hyperchaotic or chaotic attractor with a positive or negative second Lyapunov exponent appears through a blowout bifurcation. It is found that the sign of the second Lyapunov exponent of the newly born asynchronous attractor, exhibiting on-off intermittency, is determined through competition between its laminar and bursting components. When the "strength" (i.e., a weighted second Lyapunov exponent) of the bursting component is larger (smaller) than that of the laminar component, an asynchronous hyperchaotic (chaotic) attractor appears.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 68 6 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2003