Controlling Hamiltonian chaos by adaptive integrable mode coupling

Ying Zhang, Shigang Chen, Yugui Yao*

*Corresponding author for this work

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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.

Original languageEnglish
Pages (from-to)2135-2139
Number of pages5
JournalPhysical Review E
Volume62
Issue number2
DOIs
Publication statusPublished - 2000
Externally publishedYes

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Zhang, Y., Chen, S., & Yao, Y. (2000). Controlling Hamiltonian chaos by adaptive integrable mode coupling. Physical Review E, 62(2), 2135-2139. https://doi.org/10.1103/PhysRevE.62.2135