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Noise-induced Turbulence in Nonlocally Coupled Oscillators

Yoji Kawamura·Hiroya Nakao·Yoshiki Kuramoto
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Abstract

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.

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Yoji Kawamura, Hiroya Nakao, Yoshiki Kuramoto. 2007-02-22. Noise-induced Turbulence in Nonlocally Coupled Oscillators. https://doi.org/10.1103/physreve.75.036209

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