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A Crisis with a Special Scaling Behavior |
| DING Xiao-ling1;WU Shun-guang2;YIN Yue-cai3;HE Da-ren1,4 |
| 1Department of Physics, Teachers College, Yangzhou University, Yangzhou 225002
2Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875
4Department of Physics, Shenyang Teachers College, Shenyang 110031
4CCAST (World Laboratory), P. O. Box 8730, Beijing 100080
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| Cite this article: |
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DING Xiao-ling, WU Shun-guang, YIN Yue-cai et al 1999 Chin. Phys. Lett. 16 167-168 |
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Abstract 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.
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| Keywords:
05.45.+b
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Published: 01 March 1999
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