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Dynamical origin for the occurrence of asynchronous hyperchaos and chaos via blowout bifurcations
Sang-Yoon Kim1, Woochang Lim, Edward Ott
1Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA. sykim@kangwon.ac.kr
Abstract:
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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