Collective phase locked states in a chain of coupled chaotic oscillators.

Collective phase locked states in a chain of coupled chaotic oscillators.
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耦合混沌振荡器链中的集体锁相状态。

DOI:
10.1103/physreve.65.055208
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发表时间:
2002
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
J. Kurths
J. Kurths
中科院分区:
--
文献类型:
--
作者:
D. L. Valladares;S. Boccaletti;F. Feudel;J. Kurths

文献摘要

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讨论了N个单向弱耦合非全同混沌振子开链中集体锁相态的出现。这种区域的特征是Lyapunov谱,其中在非耦合区域中为零的N-1指数随着耦合强度的增加而呈现负值。研究了这种集合态的动力学,并与一对耦合混沌振子的相位同步情况进行了比较。特别地,如果混沌幅度没有至少部分相关,则不能构造全相位同步态。
We discuss the emergence of a collective phase locked state in an open chain of N unidirectionally weakly coupled nonidentical chaotic oscillators. Such a regime is characterized by a Lyapunov spectrum where N-1 exponents that were zero in the uncoupled regime assume negative values as the coupling strength increases. The dynamics of such collective state is studied, and a comparison is drawn with the case of phase synchronization of a pair of coupled chaotic oscillators. In particular, it is shown that a full phase synchronized state cannot be constructed without at least partial correlation in the chaotic amplitudes.