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A Forbidden Web in a Quasi-Dissipative System |
| DAI Jun;WANG Wen-Xiu;JIANG Yu-Mei;HE Yue;CHEN Wen;HE Da-Ren |
| College of Physics Science and Technology, Yangzhou University, Yangzhou 225002 |
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| Cite this article: |
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DAI Jun, WANG Wen-Xiu, JIANG Yu-Mei et al 2005 Chin. Phys. Lett. 22 827-829 |
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Abstract A simultaneous transition of the system nature from everywhere smooth and conservative to piecewise smooth and quasi-dissipative is observed in a kicked billiard when adjusting single controlling parameter. The transition induces the appearance of a special kind of fat fractal forbidden web, which grows up and cuts off more parts from the original conservative stochastic web so that the remnant transient web becomes increasingly thinner. We numerically show a power law σ∝βv, where σ is the fractal exponent of the forbidden web, β is the control parameter, and the scaling exponent v =0.288±0.007, which describes this process.
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| Keywords:
05.45.-a
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Published: 01 April 2005
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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