Noise-induced Turbulence in Nonlocally Coupled Oscillators

Details Noise-induced Turbulence in Nonlocally Coupled Oscillators Noise-induced Turbulence in Nonlocally Coupled Oscillators

2007-02-22

arxiv.org/abs/nlin/0702042v1

Phys. Rev. E 75, 036209 (2007)

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1103/PhysRevE.75.036209

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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