Collective phase dynamics of globally coupled oscillators: Noise-induced anti-phase synchronization
Collective phase dynamics of globally coupled oscillators: Noise-induced anti-phase synchronization
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DOI：
10.1016/j.physd.2013.12.004
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发表时间：
2014-03-01
影响因子：
4
通讯作者：
Kawamura, Yoji
中科院分区：
文献类型：
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作者：
Kawamura, Yoji
我们提出了具有宏观节奏的全局耦合噪声极限环振子的集体相位描述理论。描述这种宏观节奏的集体相位方程是通过两步相位缩减推导出来的。用三个有代表性的极限环振子模型说明了定量表征宏观节奏的集体相位灵敏度和集体相位耦合函数。作为该理论的重要成果，我们通过对这三种模型的直接数值模拟证明了噪声诱导的宏观节律之间的反相位同步。(C) 2013作者。Elsevier B.V.版权所有。
We formulate a theory for the collective phase description of globally coupled noisy limit-cycle oscillators exhibiting macroscopic rhythms. Collective phase equations describing such macroscopic rhythms are derived by means of a two-step phase reduction. The collective phase sensitivity and collective phase coupling functions, which quantitatively characterize the macroscopic rhythms, are illustrated using three representative models of limit-cycle oscillators. As an important result of the theory, we demonstrate noise-induced anti-phase synchronization between macroscopic rhythms by direct numerical simulations of the three models. (C) 2013 The Author. Published by Elsevier B.V. All rights reserved.