基于度分析的广义胞映射分析方法

Analysis for Generalized Cell Mapping Based on Cell Degree Analysis

非线性动力系统因为其自身特点而难于分析.广义胞映射通过将连续空间与连续映射离散化的手段,成为一种有力的非线性动力系统的分析工具.然而其分析算法存在着结果精确性差、算法步骤复杂且效率低下等缺陷,因此限制了该算法在高精度、大规模分析下的应用.本文在提出胞的度等概念的基础上,通过度分析方法得出不同类胞的度特征,从而以胞的类作为研究对象,提出了高效率、高精度的广义胞映射分析方法.

It is difficult to analyze nonlinear dynamic system because of its property.Generalized cell mapping is a powerful tool for analyzing nonlinear dynamic system by the way of discretizing continuous space and mapping.However,inferior accuracy,high complexity and low efficiency of the existing analysis algorithm restrict its application in large-scale and high quality requirement.In the present paper,the concept of cell degree is presented and cells are classified into different categories because of their various cell degree properties. Then from the respect of category of cells,an efficient and precise algorithm of analysis for generalized cell mapping is proposed.And at last,a series of experiments are given to show the validity and advantage of the algorithm.