Determination of a coupling function in multicoupled oscillators

Determination of a coupling function in multicoupled oscillators
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DOI:
10.1103/physrevlett.96.194101
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发表时间:
2006-05-19
影响因子:
8.6
通讯作者:
Kinoshita, Shuichi
Kinoshita, Shuichi
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Miyazaki, Jun;Kinoshita, Shuichi

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从理论上推导了一种确定相位模型中耦合函数的新方法,适用于耦合自持振荡器,并将其应用于 Belousov-Zhabotinsky (BZ) 振荡器。两个耦合 BZ 反应器的同步行为可以通过由此获得的耦合函数得到很好的解释。该方法预计适用于弱耦合多振荡器系统,其中几乎相同的振荡器之间的相互耦合以类似的方式发生。还讨论了耦合函数中涉及的高次谐波项的重要性。
A new method to determine a coupling function in a phase model is theoretically derived for coupled self-sustained oscillators and applied to Belousov-Zhabotinsky (BZ) oscillators. The synchronous behavior of two coupled BZ reactors is explained extremely well in terms of the coupling function thus obtained. This method is expected to be applicable to weakly coupled multioscillator systems, in which mutual coupling among nearly identical oscillators occurs in a similar manner. The importance of higher-order harmonic terms involved in the coupling function is also discussed.