Collective-phase description of coupled oscillators with general network structure
Collective-phase description of coupled oscillators with general network structure
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DOI：
10.1103/physreve.80.036207
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发表时间：
2009-09-01
影响因子：
2.4
通讯作者：
Kuramoto, Yoshiki
中科院分区：
文献类型：
--
作者：
Kori, Hiroshi;Kawamura, Yoji;Kuramoto, Yoshiki
我们发展了具有完全锁相集体振荡的任何网络结构的非相同极限环振子群的集体相位描述。整个网络的动态可以用一个单一的集体相位变量来描述。我们导出了集体相位灵敏度的一般公式，它量化了整个网络对施加于组成振子的弱外部扰动的相位响应。此外，我们考虑弱相互作用的多网络，并开发了一个有效的相位耦合描述。给出了几个例子来说明我们的理论。
We develop a collective-phase description for a population of nonidentical limit-cycle oscillators with any network structure undergoing fully phase-locked collective oscillations. The whole network dynamics can be described by a single collective-phase variable. We derive a general formula for the collective-phase sensitivity, which quantifies the phase response of the whole network to weak external perturbations applied to the constituent oscillators. Moreover, we consider weakly interacting multiple networks and develop an effective phase coupling description for them. Several examples are given to illustrate our theory.