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Enhancing noise-induced switching times in systems with distributed delays

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Version 2 2023-06-12, 07:22
Version 1 2023-06-09, 13:41
journal contribution
posted on 2023-06-12, 07:22 authored by Yuliya KyrychkoYuliya Kyrychko, I B Schwartz
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Chaos

ISSN

1054-1500

Publisher

American Institute of Physics

Issue

6

Volume

28

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Mathematics Applied to Biology Research Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-06-07

First Open Access (FOA) Date

2018-06-13

First Compliant Deposit (FCD) Date

2018-06-07

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