耦合双稳系统的随机共振控制

The stochastic resonance control of coupled bistable systems

两个双稳系统经非线性耦合而成为多稳态系统,该耦合系统与单一双稳系统相比具有较高的理论研究和实际应用价值.解析地分析了耦合系统在含噪弱周期信号作用下的响应特性,给出了耦合系数和双稳系统参数对随机共振的影响,表明耦合系统的随机共振是在带状的双势阱作用下产生的,还构建了反馈耦合控制原理框图.这为在双稳类系统中人为地产生随机共振或使共振效应更加强烈即随机共振的控制及其应用提供了可靠的理论依据.数值仿真结果与理论分析完全符合.

Two bistable systems can become multistable through nonlinear coupling. The coupled system is more valuable than the single bistable system in theoretical research and practical application. The response characteristics of the coupled system subjecting to noise and periodic signal have been analytically analyzed to show the effect of coupled coefficient and bistable system parameters on stochastic resonance. The results show that the stochastic resonance is produced by the effect of zonal double-well potential. The schematic diagram of feedback coupled control principle has also been constructed. The method gives a reliable theoretical basis for artificially producing stochastic resonance or strengthening the effect of resonance in bistable system to control the stochastic resonance, and also for its application. The results of numerical simulation agree with that of theoretical analysis.