Noise-induced Turbulence in Nonlocally Coupled Oscillators

dc.creatorKawamura, Yoji
dc.creatorNakao, Hiroya
dc.creatorKuramoto, Yoshiki
dc.date2007-02-22
dc.date.accessioned2026-07-07T07:52:08Z
dc.date.available2026-07-07T07:52:08Z
dc.descriptionWe 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.
dc.description23 pages, 17 figures, to appear in Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/nlin/0702042
dc.identifierhttp://arxiv.org/abs/nlin/0702042
dc.identifierPhys. Rev. E 75, 036209 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.036209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125769
dc.subjectChaotic Dynamics
dc.titleNoise-induced Turbulence in Nonlocally Coupled Oscillators
dc.typetext

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