Mode Hopping in Oscillating Systems with Stochastic Delays.,Physical Review Letters

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Mode Hopping in Oscillating Systems with Stochastic Delays.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-07-13 , DOI: 10.1103/physrevlett.125.034101
Vladimir Klinshov ₁ , Dmitry Shchapin ₁ , Otti D'Huys ₂

Affiliation

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.

中文翻译：

具有随机延迟的振荡系统中的模式跳变。

我们在理论上和在电子实验中研究具有脉冲延迟反馈的噪声振荡器。在没有噪声的情况下，该系统具有多个稳定的周期范围。我们考虑两种类型的噪声：（i）作用于振荡器状态变量的相位噪声和（ii）耦合延迟的随机波动。对于这两种类型的随机扰动，系统都在确定性状态之间跳变，但是对于不同类型的噪声，它显示出截然不同的缩放特性。常规相位噪声的鲁棒性随耦合强度而增加。但是，对于耦合延迟的随机变化，寿命会缩短与耦合强度成指数关系。我们为线性化模型中的这些缩放属性提供了解析说明。因此，我们的发现表明，系统对随机扰动的鲁棒性很大程度上取决于这些扰动的性质。

更新日期：2020-07-13

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