Effective Fokker-Planck equation for birhythmic modified van der Pol oscillator

DOI10.1063/1.4766678zbMath1319.35270arXiv1212.0098OpenAlexW3103815826WikidataQ46979224 ScholiaQ46979224MaRDI QIDQ2944625

Hilda A. Cerdeira, Giovanni Filatrella, Rene Yamapi, Moulay Aziz-Alaoui

Publication date: 2 September 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0098

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)

Related Items (12)

Effects of a periodic drive and correlated noise on birhythmic van der Pol systems ⋮ Memory effect in a self-sustained birhythmic biological system ⋮ Stochastic sensitivity analysis of noise-induced transitions in a biochemical model with birhythmicity ⋮ Bifurcations in a Time-Delayed Birhythmic Biological System with Fractional Derivative and Lévy Noise ⋮ Deterministic and stochastic bifurcations in the Hindmarsh-Rose neuronal model ⋮ Lévy noise induced transitions and enhanced stability in a birhythmic Van der Pol system ⋮ Bifurcation Regulations Governed by Delay Self-Control Feedback in a Stochastic Birhythmic System ⋮ Stochastic bifurcations induced by correlated noise in a birhythmic van der Pol system ⋮ Effects of noise correlation on the coherence of a forced van der Pol type birhythmic system ⋮ System identification of a low-density jet via its noise-induced dynamics ⋮ The Effects of Correlated Noise on Bifurcation in Birhythmicity Driven by Delay ⋮ Birhythmic oscillations and global stability analysis of a conductance-based neuronal model under ion channel fluctuations

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