Volume 66, Number 2, April 2004
|Page(s)||185 - 191|
|Published online||01 April 2004|
Noisy limit point bifurcation with a slowly varying control parameter
Institut Royal Météorologique de Belgique 3, Avenue Circulaire, 1180 Brussels, Belgium
2 Center for nonlinear phenomena and complex systems C.P. 231, Blvd. du Triomphe, 1050 Brussels, Belgium
Accepted: 12 February 2004
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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, 2004
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