Controlling Strong Chaos by Adaptive Coupling Method in the Perturbed Cat Map

Controlling Strong Chaos by Adaptive Coupling Method in the Perturbed Cat Map
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DOI:
10.1088/0256-307x/18/7/311
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发表时间:
2001-07
影响因子:
3.5
通讯作者:
Xu Hai-bo;Wang Guang-rui;Chen Shi-gang
Xu Hai-bo;Wang Guang-rui;Chen Shi-gang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Xu Hai-bo;Wang Guang-rui;Chen Shi-gang

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将自适应可积模耦合控制哈密顿混沌的方法推广到自适应可积模和近可积模耦合控制强混沌。我们用一个高度混沌的系统,扰动猫映射来说明这种方法。所有的轨道都可以被有效地控制到周期或准周期轨道。该方法对弱外部噪声的存在具有鲁棒性。
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.