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Escape from a Riddled-Like Basin |
| CHAO Xiao-Gang1,2;DAI Jun1;WANG Wen-Xiu1;HE Da-Ren1 |
| 1College of Physics Science and Technology, Yangzhou University, Yangzhou 225002
2Information Science Department, Jiangsu Polytechnic University, Changzhou 213016 |
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| Cite this article: |
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CHAO Xiao-Gang, DAI Jun, WANG Wen-Xiu et al 2005 Chin. Phys. Lett. 22 3025-3028 |
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Abstract We investigate a system described by a conservative and a dissipative map concatenation. A fat fractal forbidden net, induced by interaction between discontinuous and noninvertible properties, introduces rippled-like attraction basins of two periodic attractors. Small areas, which serve as escaping holes of a new type of crisis, are dominated by conventional strong dissipation and are bounded by the forbidden region, but only in the vicinity of each periodic point. Based on this understanding, the scaling behaviour of the averaged lifetime of the crisis is analytically and numerically determined to be <τ> ∝ (b-b0)γ, where b denotes the control parameter, b0 denotes its critical threshold, and γ simeq -1.5.
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| Keywords:
05.45.Ac
05.10.-a
05.45.-a
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Published: 01 December 2005
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| PACS: |
05.45.Ac
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(Low-dimensional chaos)
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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05.45.-a
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(Nonlinear dynamics and chaos)
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