A semi-analytic method for computing the long-time order parameter dynamics in mean-field coupled overdamped oscillators with colored noises

DOI10.1016/J.PHYSLETA.2008.09.016zbMath1227.37018OpenAlexW2042144972MaRDI QIDQ646888

Yao-Lin Jiang, Yan-Mei Kang

Publication date: 30 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.09.016

zbMATH Keywords

bifurcationorder parametersemi-analytic methodnonlinear stochastic resonance

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Random vibrations in dynamical problems in solid mechanics (74H50) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

Volume and surface stability of uniformly compressed transversely isotropic linearly elastic materials ⋮ Stochastic resonance in coupled weakly-damped bistable oscillators subjected to additive and multiplicative noises ⋮ Effect of spatial correlation on stochastic resonance in two linearly interacting noisy bistable oscillators

Cites Work

• Observing nonlinear stochastic resonance with piecewise constant driving forces by the method of moments
• Can colored noise improve stochastic resonance?
• Fluctuation-dissipation theorems for nonlinear Fokker-Planck equations of the Desai-Zwanzig type and Vlasov-Fokker-Planck equations
• Spike timing precision for a neuronal array with periodic signal
• H-theorem for a mean field model describing coupled oscillator systems under external forces
• Brownian motors: noisy transport far from equilibrium

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