用MATLAB探索了一种模拟Vesely和Podolsky提出的适用于自由粒子在真空引力性PP波中的运动情况的Henon-Heiles修改模型动力学特性的方法。直接分析其势函数并通过庞加莱截面法探究该修改模型的动力学性质以及计算最大李雅普诺夫指数分析系统的稳定性情况,直观的反映了该模型的混沌现象。
The paper, with the help of software MATLAB, explored a method to simulate the dynamic property of modified Henon-Heiles model applicable in describing the motion of test particle in PP wave proposed by Vesely and Podoisky. It directly analyzed the potential function and dynamic property of the modified model through Poincare surface of section; then it calculated the biggest Lyapunov exponent to check the stability of the system, which evidently showed the chaos of the model.