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Phys. Rev. E 68, 066203 (2003) [10 pages]

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

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Sang-Yoon Kim1,2,*, Woochang Lim2, Edward Ott1,3, and Brian Hunt4
1Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA
2Department of Physics, Kangwon National University, Chunchon, Kangwon-Do 200-701, Korea
3Department of Physics and Department of Electrical and Computing Engineering, University of Maryland, College Park, Maryland 20742, USA
4Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA

Received 17 January 2003; revised 29 July 2003; published 17 December 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.066203
DOI:
10.1103/PhysRevE.68.066203
PACS:
05.45.Xt

*Electronic address: sykim@kangwon.ac.kr