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Strange Quasi-Repeller in a Kicked Rotor
Authors:Jiang Yumei  He Daren Institute of plasma physics  Chinese Academy of Sciences  Hefei   China College of Physics Science  Technoogy  Yangzhou University  Yangzhou   China
Affiliation:Institute of plasma physics, Chinese Academy of Sciences, Hefei 230031, China;College of Physics Science and Technoogy, Yangzhou University, Yangzhou 225002,China
Abstract:A new kind of crisis was observed in a system where a transition from conservative to quasi-dissipative can be observed. The crisis signifies a sudden and intrinsic change of a stochastic web, which is formed by the end-results of the images of the discontinuous borderlines of the system function. In the crisis, a strange quasi-repeller can be defined. When changing the controlling parameter, the variation of the fractile dimension of the quasi-repeller obeys a logarithmic rule.
Keywords:crisis   stochastic web   quasi-dissipative system
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