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A Crisis with a Special Scaling Behavior

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摘要 A kind of crisis with special scaling properties has been observed in a discontinuous map.The crisis happens via a collision between a discontinuity of the mapping function and an unstable periodic orbit locating on the basin boundary of the chaotic attractor.The scaling property of the crisis is<τ>∝∈-1.8,where<τ>and∈stand for the average characteristic time and the control parameter value crossing the critical point,respectively.
作者 DING Xiao-ling WU Shun-guang YIN Yue-cai HE Da-ren 丁晓玲;吴顺光;殷岳才;何大韧(Department of Physics,Teachers College,Yangzhou University,Yangzhou 225002;Institute of Low Energy Nuclear Physics,Beijing Normal University,Beijing 100875;Department of Physics,Shenyang Teachers College,Shenyang 110031;CCAST(World Laboratory),P.O.Box 8730,Beijing 100080)
出处 《Chinese Physics Letters》 SCIE CAS CSCD 1999年第3期167-168,共2页 中国物理快报(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant No.19575037。
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