Bačić Iva, Franović Igor
Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia.
Chaos. 2020 Mar;30(3):033123. doi: 10.1063/1.5139628.
Inverse stochastic resonance comprises a nonlinear response of an oscillatory system to noise where the frequency of noise-perturbed oscillations becomes minimal at an intermediate noise level. We demonstrate two generic scenarios for inverse stochastic resonance by considering a paradigmatic model of two adaptively coupled stochastic active rotators whose local dynamics is close to a bifurcation threshold. In the first scenario, shown for the two rotators in the excitable regime, inverse stochastic resonance emerges due to a biased switching between the oscillatory and the quasi-stationary metastable states derived from the attractors of the noiseless system. In the second scenario, illustrated for the rotators in the oscillatory regime, inverse stochastic resonance arises due to a trapping effect associated with a noise-enhanced stability of an unstable fixed point. The details of the mechanisms behind the resonant effect are explained in terms of slow-fast analysis of the corresponding noiseless systems.
逆随机共振包括振荡系统对噪声的非线性响应，其中噪声扰动振荡的频率在中间噪声水平处变为最小。通过考虑两个自适应耦合的随机有源转子的典型模型，我们展示了逆随机共振的两种一般情况，其局部动力学接近分岔阈值。在第一种情况中，对于处于可激发状态的两个转子展示的情况，逆随机共振是由于从无噪声系统的吸引子导出的振荡和准静态亚稳态之间的有偏切换而出现的。在第二种情况中，对于处于振荡状态的转子说明的情况，逆随机共振是由于与不稳定不动点的噪声增强稳定性相关的捕获效应而产生的。共振效应背后机制的细节根据相应无噪声系统的快慢分析来解释。
