Synchronized clusters and multistability in arrays of oscillators with different natural frequencies
Synchronized clusters and multistability in arrays of oscillators with different natural frequencies
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DOI：
10.1103/physreve.58.7198
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发表时间：
1998-12-01
影响因子：
2.4
通讯作者：
Sushchik, MM
中科院分区：
文献类型：
--
作者：
Osipov, GV;Sushchik, MM
用渐近方法和数值方法研究了具有不同固有频率的扩散耦合范德波尔振子阵列中的集体效应。确定了全局（所有对所有）和集群（在多个元素子集内）频率同步机制的发生和存在的条件。发现簇同步存在单稳定和多稳定状态，不同簇数组成的结构之间存在“软”和“硬”跃迁。结果表明，与固有频率沿阵列单调变化的规则排列的振子相比，随机排列的振子在更宽的参数范围内可以观察到同步。[s1063 - 651 x(98) 02012 - 1]。
The collective effects in arrays of diffusively coupled Van der Pol oscillators with different natural frequencies are investigated by asymptotic and numerical methods. The conditions for the onset and existence of the regimes of global (all-to-all) and cluster (inside several subsets of elements) frequency synchronization are determined. It is found that there exist monostable and multistable regimes of cluster synchronization and the respective "soft'' and ''hard" transitions between the structures consisting of a different number of clusters. It is revealed that the synchronization is observed in a broader range of parameters in a randomly formed array than for regularly arranged oscillators with the natural frequencies varying monotonically along the array. [S1063-651X(98)02012-1].