Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session R57: Noise-driven Dynamics in Far-from-equilibrium Systems II
8:00 AM–11:00 AM,
Thursday, March 7, 2019
BCEC
Room: 256
Sponsoring
Units:
GSNP DBIO
Chair: Stephen Teitsworth, Duke University
Abstract: R57.00001 : Enhancing noise-induced escape in systems with distributed delays*
8:00 AM–8:12 AM
Presenter:
Ira Schwartz
(Nonlinear System Dynamics Section, United States Naval Research Laboratory)
Authors:
Ira Schwartz
(Nonlinear System Dynamics Section, United States Naval Research Laboratory)
Yuliya N. Kyrychko
(Department of Mathematics, University of Sussex)
attractor and exhibit new behavior. Although the noise amplitudes are small, the result is a large fluctuation out of the basin of attraction. Here we study the influence of noise-induced
large fluctuations on dynamical systems, where the time delay is not taken as a constant but is rather chosen from a given distribution. We use a variational approach to calculate the escape rates out of
the basin of attraction of the stable equilibrium for a general kernel of the delay distribution, as well as general nonlinearity. We illustrate the theory by taking two particular examples of the distribution kernel, namely, the uniform and bi-modal kernels, and analyze how the width of the distribution affects the switching rates. Our results show that the switching is affected not only by the mean time delay but also by the width of the delay distribution. Specifically, if the distribution width is increased, this leads to an increase in the switching times.
*Reseach supported by ONR and NRL Base Research Program.
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700