Noisy Delay-Differential Equations In Optical Bistability

Raymond Kapral; Edward Celarier; Paul Mandel; P Nardone

doi:10.1117/12.938865

14 October 1986 Noisy Delay-Differential Equations In Optical Bistability

Raymond Kapral, Edward Celarier, Paul Mandel, P Nardone

Proceedings Volume 0667, Optical Chaos; (1986) https://doi.org/10.1117/12.938865
Event: 1986 Quebec Symposium, 1986, Quebec City, Canada

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.

Citation Download Citation

Raymond Kapral, Edward Celarier, Paul Mandel, and P Nardone "Noisy Delay-Differential Equations In Optical Bistability", Proc. SPIE 0667, Optical Chaos, (14 October 1986); https://doi.org/10.1117/12.938865

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