Noise-induced Turbulence in Nonlocally Coupled Oscillators

Kawamura, Yoji; Nakao, Hiroya; Kuramoto, Yoshiki

Noise-induced Turbulence in Nonlocally Coupled Oscillators

Authors

Kawamura, Yoji

Nakao, Hiroya

Kuramoto, Yoshiki

Description

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.
23 pages, 17 figures, to appear in Phys. Rev. E