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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| Institution: | (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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