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Enhancing noise-induced switching times in systems with distributed delays
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 SchwartzThe 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.
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Publication status
- Published
File Version
- Published version
Journal
ChaosISSN
1054-1500Publisher
American Institute of PhysicsExternal DOI
Issue
6Volume
28Department 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
2018-06-07First Open Access (FOA) Date
2018-06-13First Compliant Deposit (FCD) Date
2018-06-07Usage metrics
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