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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Noise-induced dynamics in a delayed bistable system with correlated noises
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Noise-induced dynamics in a delayed bistable system with correlated noises

机译：具有相关噪声的时滞双稳态系统中的噪声诱发动力学

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摘要

The resonance behaviors, such as coherence resonance and stochastic resonance, are studied in a delayed bistable system subject to correlated noises and a weak harmonic excitation. For weak noise intensities and small feedback gains, the analytic expressions of output spectrum and linear spectrum amplification are derived based on the theory proposed by Tsimring [14] [L.S. Tsimring, A. Pikovsky, Noise-induced dynamics in bistable systems with delay, Phys. Rev. Lett. 87 (2001) 250602]. The results show that the peak in the output spectrum at the frequency corresponding to the time delay attains the maximum for an intermediate amount of noise intensity and the coherence resonance appears. The correlation between noises can induce the suppression and the stochastic resonance in the curve of spectrum amplification, which is absent for the case of uncorrelated additive and multiplicative noises. Moreover, the system also exhibits the frequency stochastic resonance.
机译：在具有相关噪声和弱谐波激励的时滞双稳态系统中研究了相干共振和随机共振等共振行为。对于弱的噪声强度和小的反馈增益，根据Tsimring [14]提出的理论推导了输出频谱和线性频谱放大的解析表达式。 Tsimring，A。Pikovsky，带延迟的双稳态系统中的噪声诱导动力学，物理。牧师87（2001）250602]。结果表明，在中等强度的噪声强度下，输出频谱中与时间延迟相对应的峰值达到最大值，并且出现了相干共振。噪声之间的相关性可以引起频谱放大曲线中的抑制和随机共振，而对于不相关的加性和乘性噪声，则不存在这种关系。此外，该系统还表现出频率随机共振。

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