Noise-induced turbulence in nonlocally coupled oscillators
Noise-induced turbulence in nonlocally coupled oscillators
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DOI：
10.1103/physreve.75.036209
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发表时间：
2007-03-01
影响因子：
2.4
通讯作者：
Kuramoto, Yoshiki
中科院分区：
文献类型：
--
作者：
Kawamura, Yoji;Nakao, Hiroya;Kuramoto, Yoshiki
我们证明了时空白色高斯噪声作用下的非局域耦合极限环振子可以表现出噪声诱导的湍流态跃迁。在说明噪声引起的湍流状态与数值模拟使用两个代表性的模型的极限环振荡器，我们开发了一个理论，阐明了有效的动力学不稳定性导致的湍流行为，使用层次结构的动态减少方法。我们确定的参数区域，系统可以表现出噪声诱导的湍流状态，这是成功地证实了广泛的数值模拟在每个级别的减少。
We demonstrate that nonlocally coupled limit-cycle oscillators subject to spatiotemporally white Gaussian noise can exhibit a noise-induced transition to turbulent states. After illustrating noise-induced turbulent states with numerical simulations using two representative models of limit-cycle oscillators, we develop a theory that clarifies the effective dynamical instabilities leading to the turbulent behavior using a hierarchy of dynamical reduction methods. We determine the parameter region where the system can exhibit noise-induced turbulent states, which is successfully confirmed by extensive numerical simulations at each level of the reduction.