Noise-induced turbulence in nonlocally coupled oscillators.
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.
Kawamura
Yoji
Y
Department of Physics, Graduate School of Sciences, Kyoto University, Kyoto 606-8502, Japan. kawamura@ton.scphys.kyoto-u.ac.jp
Nakao
Hiroya
H
Kuramoto
Yoshiki
Y