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