具有时间延迟的对称双稳系统迁移的对称性

研究了一种具有时间延迟的、由加性白噪声与乘性白噪声驱动的对称双稳系统。通过时间延迟近似方法获取和对称双稳系统相应的福克-普朗克方程,给出福克-普朗克方程的稳态概率分布函数。当左势井向右势井迁移时,在噪声强度高于势垒高度的情况下,给出对称双稳系统的平均首通时间和对应的迁移率计算公式。当右势井向左势井迁移时,在噪声强度不超过势垒高度的情况下,通过最陡下降法计算具有时间延迟的对称双稳系统的平均首通时间和相应的迁移率。依据左势井向右势井迁移激活率公式和右势井向左势井迁移激活率公式获取迁移率与噪声比之间的关系。结果表明:时间延迟能够提高双稳系统的共振抑制,左势井到右势井的迁移与右势井到左势井的迁移是对称的,整个双稳系统也是对称的。

The asymmetric bistable system with time delay migration of symmetry

A kind of time delay is studied by the additive and multiplicative white noise and white noise driven asymmetric bistable system, obtained through approximation of time delay and asymmetric bistable system corresponding fokker Planck equation formula, give fokker Planck equation for steady state probability distribution function of the formula.When left potential well potential well migration to the right,in the case of noise intensity is higher than the barrier height, average of asymmetric bistable system is given first time and the corresponding formula of mobility.When potential well potential well to the left right transfer, the noise intensity under the condition of no more than barrier height, by the steepest descent method to calculate the asymmetric bistable system with time delay of the first operating time and the corresponding average mobility.According to left potential well potential well to the right migration activation rate formula potential well potential well to the left and right migration activation rate formula to obtain the relationship between mobility and noise ratio, the result shows that time delay can improve the resonance of bistable system restrain, left potential well to the right of potential well migration potential well to the left and right potential well migration is symmetrical, the bistable system is symmetric.