|
|||||
|
|
Escape statistics for systems driven by dichotomous noise. II. The imperfect pitchfork bifurcation as a case study |
|
| Authors: | J. Olarrea J. M. R. Parrondo F. J. de la Rubia |
| Affiliation: | (1) Departamento Matemática Aplicada y Estadística, ETSI Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain;(2) Departamento Física Aplicada I, Facultad de Física, Universidad Complutense, 28040 Madrid, Spain;(3) Departamento Física Fundamental, Universidad a Distancia, 28080 Madrid, Spain |
| Abstract: | We use the general results for the escape probabilities and mean exit times obtained in an accompanying paper to analyze in detail a nonlinear system presenting an imperfect (subcritical) pitchfork bifurcation. We redraw the bifurcation diagram to show the effect of the noise. To avoid spurious results we introduce the concept ofextinction level as the minimum possible value for the system, and discuss its effect on the bifurcation diagram. |
| Keywords: | Escape probabilities mean first passage times dichotomous noise stochastic bifurcations level of extinction |
| 本文献已被 SpringerLink 等数据库收录！ | |