摘要
本文研究自治非线性系统平衡点的流形计算问题。不变流形的计算对于了解系统的动力学特性具有非常重要的作用。不变流形一般不能通过解析表达式求解,而只能通过数值计算的方法得到。分析了PED方法的使用条件,并且在Lorenz模型下进行仿真实验。
In this paper, we study the computation of manifolds for nonlinear autonomous systems. The computation of invariant manifolds is crucial to understanding a system's global behavior. In most cases, invariant cannot be acquired analytically, but could only be found numerically. The PDE condition has been analyzed in the paper, and the simulation has been done using Lorenz model.
出处
《科教导刊》
2012年第24期122-123,共2页
The Guide Of Science & Education
关键词
非线性信号
流形计算
逆风条件
non-linear signal
manifold computing
upwinding condition