ESCAPE STATISTICS FOR SYSTEMS DRIVEN BY DICHOTOMOUS NOISE .2. THE IMPERFECT PITCHFORK BIFURCATION AS A CASE-STUDY

Authors
OLARREA J PARRONDO JMR DELARUBIA FJ
Citation
J. Olarrea et al., ESCAPE STATISTICS FOR SYSTEMS DRIVEN BY DICHOTOMOUS NOISE .2. THE IMPERFECT PITCHFORK BIFURCATION AS A CASE-STUDY, Journal of statistical physics, 79(3-4), 1995, pp. 683-699
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
79
Issue
3-4
Year of publication
1995
Pages
683 - 699
Database
ISI
SICI code
0022-4715(1995)79:3-4<683:ESFSDB>2.0.ZU;2-1
Abstract
We use the general results for the escape probabilities and mean exit times obtained in an accompanying paper to analyze in detail a nonline ar 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 of extinction level a s the minimum possible value for the system, and discuss its effect on the bifurcation diagram.