Diffusion-induced instability and chaos in random oscillator networks

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dc.creatorNakao, Hiroya
dc.creatorMikhailov, Alexander S.
dc.date2009-02-21
dc.date.accessioned2026-07-07T13:00:09Z
dc.date.available2026-07-07T13:00:09Z
dc.descriptionWe demonstrate that diffusively coupled limit-cycle oscillators on random networks can exhibit various complex dynamical patterns. Reducing the system to a network analog of the complex Ginzburg-Landau equation, we argue that uniform oscillations can be linearly unstable with respect to spontaneous phase modulations due to diffusional coupling - the effect corresponding to the Benjamin-Feir instability in continuous media. Numerical investigations under this instability in random scale-free networks reveal a wealth of complex dynamical regimes, including partial amplitude death, clustering, and chaos. A dynamic mean-field theory explaining different kinds of nonlinear dynamics is constructed.
dc.description6 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0902.3742
dc.identifierhttp://arxiv.org/abs/0902.3742
dc.identifierPhys. Rev. E 79, 036214 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.036214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225771
dc.subjectPattern Formation and Solitons
dc.subjectChaotic Dynamics
dc.titleDiffusion-induced instability and chaos in random oscillator networks
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