【摘要】 本文利用数值模拟技术(NST)及蒙特卡罗方法(MCM)对非自治非线性随机杜芬系统(NANLSDFS)的随机振动性态进行研究,获得了NANLSDFS演化的概率密度流及其位移-速度联合概率密度流,发现NANLSDFS存在时间分岔、结构分岔、鞍点处的驼峰、倍频运动、相空间中的双峰极限环等特征,并对这些特征的性质及意义进行了探讨更多还原

【Abstract】 This paper presents a numerical approach to the random dynamics of the non_autonomous non_linear stochastic duffing system (NANLSDFS). The analysis utilizes a numerical simulation technique (NST) and Monte Carlo Method (MCM). The NANLSDFS’s probability density flow and its displacement velocity joint probability density are obtained, and such properties of NANLSDFS as time bifurcation, construct bifurcation, hump on the saddle, doubled frequency motion and doubled peak limit cycle on the state space, are found. The properties and the meaning of these phenomena are also discussed.更多还原