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Controlling Strong Chaos by Adaptive Coupling Method in the Perturbed Cat Map |
XU Hai-Bo1,2;WANG Guang-Rui2;CHEN Shi-Gang2 |
1Graduate School, China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088
2Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088 |
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Cite this article: |
XU Hai-Bo, WANG Guang-Rui, CHEN Shi-Gang 2001 Chin. Phys. Lett. 18 878-881 |
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Abstract The method for controlling Hamiltonian chaos by adaptive integrable mode coupling is extended to controlling strong chaos by adaptive integrable and near-integrable mode coupling. We illustrate this method with a highly chaotic system, the perturbed cat map. All orbits can be effectively controlled to the periodic or quasiperiodic orbits. The method is robust against the presence of weak external noise.
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Keywords:
05.45.-a
05.45.Gg
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Published: 01 July 2001
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PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Gg
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(Control of chaos, applications of chaos)
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