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。
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.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2000年第1期96-102,共7页
Journal of South China University of Technology(Natural Science Edition)
关键词
非自治
NANLSS
随机振动
非线性杜芬系统
non_autonomous non_liner stochastic duffing system
numerical simulation technique
probability density flow
time bifurcation
construct bifurcation
