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.

中文翻译：

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反向随机共振的两种范例情形

逆随机共振包括振动系统对噪声的非线性响应，其中在中等噪声水平下，噪声干扰振荡的频率变得最小。我们通过考虑两个局部动力学接近于分叉阈值的自适应耦合的随机主动转子的范式模型，展示了逆随机共振的两种通用方案。在第一种情况下，对于处于可激励状态的两个旋转器，由于来自无噪声系统的吸引子的振荡状态和准稳态亚稳态之间的有偏转换，出现了逆随机共振。在第二种情况下，为振荡状态下的转子进行了说明，逆随机共振是由于与不稳定的固定点的噪声增强的稳定性相关的陷波效应而产生的。通过对相应的无噪声系统的慢速分析来解释共振效应背后的机制。