城市系统非线性动力学分析的基本理论与方法

The Fundamental Theory and Methods of Non-linear Dynamic Analyses of Urban or City Systems

本文提出城市系统非线性动力学分析的基本思路：１，一般稳定性分析；２，分数维分析，即支起相空间，计算关联维，确定系统控制变量的数目；３，模拟分析，即找出主导变量，重建城市动力系统，基此借助计算机模拟分析城市系统的演化机制。

An approach was made to the theory and methods of nonlinear dynamic analyses of city systems or systems of cities and towns.The research procedure including three-steps was suggested as follows:1,General analyses of stability of systems;2.Fractal-dimension analyses based on selection of master variables of systems by means of constructing phase space and calculating correlation dimension;3.Modelling analyses based on reconstructing city dynamic system or dynamic system of cities and towns,carrying on systematic modelling on computers,and bringing the stranger attractor to light.