STOCHASTIC HOPF-BIFURCATION - THE EFFECT OF COLORED NOISE ON THE BIFURCATION INTERVAL

Authors
OLARREA J DELARUBIA FJ
Citation
J. Olarrea et Fj. Delarubia, STOCHASTIC HOPF-BIFURCATION - THE EFFECT OF COLORED NOISE ON THE BIFURCATION INTERVAL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 268-271
Citations number
22
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
1
Year of publication
1996
Part
A
Pages
268 - 271
Database
ISI
SICI code
1063-651X(1996)53:1<268:SH-TEO>2.0.ZU;2-7
Abstract
We consider a general nonlinear dynamical system undergoing a supercri tical Hopf bifurcation, and driven by a Gaussian colored noise. Using normal form theory and an approximate effective Fokker-Planck equation , valid for weak intensity and small correlation time of the noise, we obtain an explicit expression for the stationary probability distribu tion of the full general system close to the bifurcation, and analyze the changes in the shape of the distribution to discuss the effect of the noise on the bifurcation interval.