Mode hopping in oscillating systems with stochastic delays


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.

Publication DOI:
Divisions: College of Engineering & Physical Sciences
Additional Information: © 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
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 1079-7114
Last Modified: 26 Mar 2024 08:14
Date Deposited: 12 Jun 2020 07:12
Full Text Link:
Related URLs: https://journal ... f3666ce6a76b5be (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2020-07-13
Accepted Date: 2020-06-07
Authors: Klinshov, Vladimir
Shchapin, Dmitry
D'Huys, Otti (ORCID Profile 0000-0001-7498-6771)



Version: Accepted Version

| Preview

Export / Share Citation


Additional statistics for this record