基于P A S CO系统的单摆相图研究

利用PASCO系统测量单摆角位置-角速度运动状态相图,通过相图法研究该系统所包含的力学线性和非线性运动行为.     

An Euler-Maruyama Method for Variable Fractional Stochastic Differential Equations With Caputo Derivatives北大核心CSCD

A Euler-Maruyama (EM) method was constructed to solve a class of variable fractional stochastic differential equations with Caputo derivatives. Firstly, the well-posedness of the equation was proved. Then, the corresponding EM method was derived in detail, and the strong convergence of the method was analyzed. By means of the continuous form of the EM method, its strong convergence order was proved to be β - 0.5, where β is the order of the Caputo derivative and 0.5< β <1. Numerical experiments verify the correctness of the theoretical results. © 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.