Enhancing noise-induced switching times in systems with distributed delays

Kyrychko, Y N and Schwartz, I B (2018) Enhancing noise-induced switching times in systems with distributed delays. Chaos, 28 (6). ISSN 1054-1500

[img] PDF - Accepted Version
Download (8MB)
[img] PDF - Published Version
Restricted to SRO admin only until 5 June 2019.
Available under License Creative Commons Attribution.

Download (978kB)

Abstract

The paper addresses the problem of calculating the noise-induced switching rates in systems with
delay-distributed kernels and Gaussian noise. A general variational formulation for the switching
rate is derived for any distribution kernel, and the obtained equations of motion and boundary conditions
represent the most probable, or optimal, path, which maximizes the probability of escape.
Explicit analytical results for the switching rates for small mean time delays are obtained for the
uniform and bi-modal (or two-peak) distributions. They suggest that increasing the width of the distribution
leads to an increase in the switching times even for longer values of mean time delays for
both examples of the distribution kernel, and the increase is higher in the case of the two-peak distribution.
Analytical predictions are compared to the direct numerical simulations and show excellent
agreement between theory and numerical experiment.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Mathematics Applied to Biology Research Group
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics > QA0274 Stochastic processes > QA0274.4 Gaussian processes
Related URLs:
Depositing User: Yuliya Kyrychko
Date Deposited: 07 Jun 2018 16:05
Last Modified: 13 Jun 2018 13:25
URI: http://srodev.sussex.ac.uk/id/eprint/76386

View download statistics for this item

📧 Request an update