STOCHASTIC RESONANCE IN A BISTABLE SYSTEM DRIVEN BY WEAK PERIODIC SIGNAL WITH MULTIPLE DELAYS
STOCHASTIC RESONANCE IN A BISTABLE SYSTEM DRIVEN BY WEAK PERIODIC SIGNAL WITH MULTIPLE DELAYS
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DOI：
10.1142/s0217979211100667
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发表时间：
2011-05
影响因子：
1.7
通讯作者：
Huiqing Zhang;Wei Xu;Chunyan Sun;Yong Xu
中科院分区：
文献类型：
--
作者：
Huiqing Zhang;Wei Xu;Chunyan Sun;Yong Xu
研究了一类多时滞混沌系统的随机共振现象。基于概率密度方法，利用小时滞近似，得到了近似平稳概率密度的解析表达式。数值模拟表明，解析结果与蒙特卡罗模拟结果吻合良好。然后利用双态理论推导了信噪比的表达式。最后讨论了多延迟对信噪比的影响。研究发现，多个时滞的增加可以抑制或促进随机共振现象。
The phenomenon of stochastic resonance in a bistable system with multiple delays is investigated. The analytic expression of approximation stationary probability density is obtained by using small delay approximation based on probability density approach. Numerical simulation is performed and it is shown that the analytic results are in good agreement with Monte Carlo simulation. Then the expression of the signal-to-noise (SNR) is derived by using two-state theory. Finally, the effect of multiple delays on SNR is discussed. It is found that the stochastic resonance phenomenon can be suppressed or promoted when multiple delays are increased.