White noise induced transitions between a limit cycle and a fixed point

White noise induced transitions between a limit cycle and a fixed point

Publication Type:

Journal Article

Authors:

L'Heureux, I.; Kapral, R.

Source:

Physics Letters A, Volume 136, Number 9, p.472-476 (1989)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-5544303700&doi=10.1016%2f0375-9601%2889%2990298-3&partnerID=40&md5=0e4b56f322748e957b503cbe50a69c95

Abstract:

A two-dimensional system that exhibits bistability between a limit cycle and a fixed point is investigated under the influence of external white noise. Noise-induced states are discussed and a phenomenological rate law for the kinetics of noise-induced transitions between the limit cycle and fixed point states is derived. Expressions for the transition rate coefficient are given. © 1989.