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Low-frequency fluctuations in the Lang-Kobayashi equations

par Pieroux, Didier ;Mandel, Paul
Référence Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 68, 036204
Publication Publié, 2003

Article révisé par les pairs

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Résumé :

The Lang-Kobayashi equations are simplified by a local analysis that focuses, in the long-delay-time limit, on one pair of mode-antimode only. In the domain of hysteresis between the two steady states, low frequency fluctuations (LFF) can be observed if there is a domain of bistability where both steady states are unstable. The high-frequency oscillations and the drop-offs in the LFF regime are associated with a dynamics close to the unstable upper and lower branch steady states, respectively.