Accession Number:

ADA234841

Title:

Chaotic and Bifurcating Nonlinear Systems Driven by Noise with Applications to Laser Dynamics

Descriptive Note:

Final rept. 1 Dec 87-31 Oct 89,

Corporate Author:

MISSOURI UNIV-ST LOUIS DEPT OF PHYSICS

Personal Author(s):

Report Date:

1989-10-31

Pagination or Media Count:

5.0

Abstract:

One aspect of the research work was focused on the effects of noise as a driving force in various nonlinear dynamical systems. Effects studied were postponements of bifurcations, state dependent diffusion, a mean first passage time in a system with both random temporal forcing in a random potential, a mean first passage time problem with colored noise. A second aspect involved studies on switching properties of nonlinear systems in the presence of noise, and a special application of the results to a noise quenched, correlated, spontaneous emission laser. A third major effort was devoted to studies on stochastic resonance SR, with a remark on the theory, a long work on the use of analog simulations in studies of SR, a study on order and disorder in SR. At this point, a study was done on noise induced topological transitions in the two- dimensional stationary probability density of an archetypal bistable system. Finally, a new quantity was introduced to general studies on SR the escape time probability distribution, wherein the theory, digital and analog simulations were accomplished. These new studies hold great promise for applications in a number of fields, including the creation of a deeper understanding of how noise assisted information is transmitted in biological neurons.

Subject Categories:

  • Lasers and Masers

Distribution Statement:

APPROVED FOR PUBLIC RELEASE