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Noisy limit point bifurcation with a slowly varying control parameter

par Nicolis, Catherine;Nicolis, Grégoire
Référence Europhysics Letters, 66, 2, page (185-191)
Publication Publié, 2004

Article révisé par les pairs

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Résumé :

The effects arising from the presence of a ramp and of a stochastic forcing on a limit point bifurcation are analyzed. It is shown that in a noise-free system the presence of a ramp induces the stabilization of states that would otherwise show explosive behavior. When noise is switched on, the system becomes frozen on a stable configuration with some probability which depends on the rate of the ramp, the strength of the noise and the initial condition.