具有时间延迟的对称双稳系统迁移的对称性

发布时间：2018-03-21 13:03

本文选题：对称双稳系统　切入点：时间延迟　出处：《科学技术与工程》2017年23期 　论文类型：期刊论文

【摘要】：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。
[Abstract]:A symmetric bistable system with time delay and driven by additive white noise and multiplicative white noise is studied. The corresponding Fokk-Planck equation of symmetric bistable system is obtained by time delay approximation. The steady-state probability distribution function of Fokk-Planck equation is given. When the left potential well moves to the right potential well, the noise intensity is higher than the barrier height. The average first pass time and corresponding mobility calculation formula of symmetric bistable system are given. When the right potential well moves to the left potential well, the noise intensity does not exceed the barrier height. The average first pass time and corresponding mobility of symmetric bistable system with time delay are calculated by the steepest descent method. According to the formula of migration activation rate of left potential well to right potential well and right potential well to left potential well migration activation rate formula is obtained. The results show that time delay can improve the resonance suppression of bistable system. The migration of the left potential well to the right potential well and the right potential well to the left potential well are symmetrical, and the whole bistable system is symmetrical.
【作者单位】：普洱学院理工学院;昆明理工大学城市学院;
【基金】：国家自然科学基金(11305079,11665015) 普洱学院校级课题(201322)资助
【分类号】：O175

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