非线性动力系统的实验与分析

介绍一种动力系统分析的工具软件包Ｄｓｔｏｏｌ，并用以辅助分析抛物型偏微分方程有界解．本文将若干理论结果同有关Ｄｓｔｏｏｌ计算结果作比较，表明当今非线性动力系统研究一重要发展方向，即类似Ｄｓｔｏｏｌ将现代动力系统数学方法软件化和工具化而形成所谓“动力系统工具箱”，己成为自然科学和工程技术研究的新手段．

Experiment and Analysis for Nonlinear Dynamical Systems

In this paper a useful package Dstool designed by J. Guckenheimer and S. Kim is introduced, which gives theoretical analysis on computers for dynamical systems and becomes a new tool in scientific and engineering research. Also some theoreti- cal results on bounded solutions of parabolic differential equations and an applica- tion to Kuramoto-Sivashinsky model are given so as to make a comparison with Dstool computation.