Noisy delay-differential equations in optical bistability

Noisy delay-differential equations in optical bistability

Publication Type:

Journal Article

Authors:

Kapral, R.; Celarier, E.; Mandel, P.; Nardone, P.

Source:

Proceedings of SPIE - The International Society for Optical Engineering, Volume 667, p.175-182 (1986)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0022864919&doi=10.1117%2f12.938865&partnerID=40&md5=dc04e2c47b8290dfb237345d5b32b4c0

Keywords:

BIFURCATION STRUCTURE, CHAOTIC MOTION, DELAY TIMES, DELAY-DIFFERENTIAL EQUATIONS, DETERMINISTIC DYNAMICS, LASERS, OPTICAL BISTABILITY, OPTICAL SYSTEMS - Stability

Abstract:

Noise-induced transitions in a delay-differential-equation model of an optical bistable device are studied. In the limit of long delay times, two different mechanisms for the transition process are identified, consistent with the predictions of one-dimensional map models. For small delay times different mechanisms operate. The effects of the statistics of the external noise on the transition process are also investigated. © 1986 SPIE.