Controlling Hamiltonian chaos by adaptive integrable mode coupling

Ying Zhang, Shigang Chen, and Yugui Yao
Phys. Rev. E 62, 2135 – Published 1 August 2000
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Abstract

The adaptive integrable mode coupling method is proposed to control two-dimensional Hamiltonian chaos. We demonstrate that this control method can stabilize chaotic motions into regular ones in a model of the standard map. Global stochasticity can be removed from the phase space by the control being switched on and off.

  • Received 12 July 1999

DOI:https://doi.org/10.1103/PhysRevE.62.2135

©2000 American Physical Society

Authors & Affiliations

Ying Zhang1, Shigang Chen1, and Yugui Yao2,*

  • 1LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009(26), Beijing 100088, China
  • 2State Key Laboratory for Surface Physics, Institute of Physics & Center for Condensed Matter Physics, P.O. Box 603-40, Beijing 100080, China

  • *Author to whom correspondence should be addressed. Email address: ygyao@aphy.iphy.ac.cn

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Vol. 62, Iss. 2 — August 2000

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