Mode hopping in oscillating systems with stochastic delays

Vladimir Klinshov*, Dmitry Shchapin, Otti D'Huys

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We study a noisy oscillator with pulse delayed feedback, theoretically and in an electronic experimental implementation. Without noise, this system has multiple stable periodic regimes. We consider two types of noise: (i) phase noise acting on the oscillator state variable and (ii) stochastic fluctuations of the coupling delay. For both types of stochastic perturbations the system hops between the deterministic regimes, but it shows dramatically different scaling properties for different types of noise. The robustness to conventional phase noise increases with coupling strength. However for stochastic variations in the coupling delay, the lifetimes decrease exponentially with the coupling strength. We provide an analytic explanation for these scaling properties in a linearized model. Our findings thus indicate that the robustness of a system to stochastic perturbations strongly depends on the nature of these perturbations.

Original languageEnglish
Article number034101
JournalPhysical Review Letters
Volume125
Issue number3
DOIs
Publication statusPublished - 13 Jul 2020

Bibliographical note

© 2020 American Physical Society. Mode Hopping in Oscillating Systems with Stochastic Delays
Vladimir Klinshov, Dmitry Shchapin, and Otti D’Huys
Phys. Rev. Lett. 125, 034101 – Published 13 July 2020

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