A quasi-crisis in a quasi-dissipative system |
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| Authors: | X. -M. Wang Y. -M. Wang K. Zhang W. -X. Wang H. Chen Y. -M. Jiang Y. -Q. Lu J. -S. Mao D. -R. He |
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| Affiliation: | (1) Institute of Plasma Physics, Chinese Academy of Sciences, P.O. Box 1126, Hefei 230031, P.R. China, CN;(2) Complexity Science Center of Yangzhou University, Yangzhou 225002, P.R. China, CN;(3) CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China, CN |
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| Abstract: | A system concatenated by two area-preserving maps may be addressed as “quasi-dissipative", since such a system can display dissipative behaviors. This is due to noninvertibility induced by discontinuity in the system function. In such a system, the image set of the discontinuous border forms a chaotic quasi-attractor. At a critical control parameter value the quasi-attractor suddenly vanishes. The chaotic iterations escape, via a leaking hole, to an emergent period-8 elliptic island. The hole is the intersection of the chaotic quasi-attractor and the period-8 island. The chaotic quasi-attractor thus changes to chaotic quasi-transients. The scaling behavior that drives the quasi-crisis has been investigated numerically. Received 29 May 2001 and Received in final form 6 November 2001 |
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| Keywords: | PACS. 05.45.Ac Low-dimensional chaos |
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