色噪声激励下三势阱系统逻辑随机共振研究

THE STUDY OF LOGICAL STOCHASTIC RESONANCE IN A TRIPLE-WELL POTENTIAL SYSTEM WITH COLORED NOISE

本文利用基于Simulink的数值模拟方法研究了高斯色噪声激励下三势阱系统的逻辑随机共振现象.首先对于独立的加性和乘性高斯色噪声激励下的三势阱系统,发现仅有加性噪声作用不能实现可靠的逻辑操作,但加性噪声和乘性噪声共同作用可诱导良好的逻辑随机共振现象.和高斯白噪声相比较,高斯色噪声激励下能产生可靠逻辑随机共振的(D,Q)平面上的区域范围更大.进一步讨论了加性和乘性噪声之间的关联对于逻辑随机共振现象的影响,发现噪声关联对逻辑随机共振现象起着破坏性的作用.

In this paper, the logic stochastic resonance （LSR） phenomenon in a triple-well potential system is investigated by performing Simulink simulation. When the additive noise and muhiplicative noise are uncorrelat- ed, it is shown that LSR can be successfully induced by multiplicative Gaussian colored noise instead of additive noise. Compared with the Gaussian white noise, the reliable region in plane （ D, Q） expands with increasing noise color. Furthermore, we find that the LSR is destroyed by the correlation between the additive noise and multiplicative noise.