Stochastic transitions between a limit cycle and a fixed point

Stochastic transitions between a limit cycle and a fixed point

Publication Type:

Journal Article

Authors:

Gaveau, B.; Gudowska-Nowak, E.; Kapral, R.; Moreau, M.

Source:

Physica A: Statistical Mechanics and its Applications, Volume 188, Number 1-3, p.443-451 (1992)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0000579821&doi=10.1016%2f0378-4371%2892%2990286-Y&partnerID=40&md5=c19734cb591e7c4b359861d455bd0455

Abstract:

We study the transitions induced near a Hopf bifurcation by a colored noised with finite memory. The rate coefficient of dynamic processes is defined in a general way when their kinetics depends on the configurations of a fluctuating environment. The resulting expression permits to characterize the time scale of the transitions between a limit cycle and a fixed point due to a dichotomous switching of the order parameter in case new stable "species" can be defined. © 1992.