随机共振数值仿真的快速算法

根据信噪比曲线可以判断一个非线性系统是否发生随机共振,同时也可以得到非线性系统对噪声的输出性能。然而,由于要进行系综平均,即使要得到最简单的双稳态系统的信噪比曲线也需要很长时间的运算。经过对双稳态系统产生随机共振过程的仔细分析,以龙格—库塔法为基础,利用适当的数值计算方法,可以快速地求解双稳态系统的输出。

Fast Algorithm for Numerical Simulation of Stochastic Resonance

According to the SNR curve, stochastic resonance can be detected in a nonlinear system and the output performance of the nonlinear system can also be gained. It takes a long time to get the SNR curve of a simplest bistable system because the ensemble average must be applied to the system .On the basis of Runge-Kutta algorithm, with proper numerical algorithm, the output of bistable system and better SNR curve can be gained quickly.