基于复合胞化空间的图胞映射方法  

The digraph cell mapping method based on composite cell space

作　　者：贺群[1] 徐伟[1] 李爽[1] 肖玉柱[1] 

机构地区：[1]西北工业大学理学院成用数学系,西安710072

出　　处：《物理学报》2008年第7期4021-4028,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10502042)资助的课题~~

摘　　要：为了提高计算的准确性和效率,通过引入复合胞化空间概念,构建了一种迭代的图胞映射方法.该方法能够对任意感兴趣的空间区域进行细化处理,细化过程采用代数运算完成不会额外增加计算机内存且能保持细化前后图动力系统性质不变.为了便于计算机实施,也给出了相应的有效算法.通过对典型例子Henon映射的应用分析,证实了该方法的有效性.In order to improve the accuracy and efficiency,an iterative digraph cell mapping method is presented through introducing the notion of composite cell space. This iterative method can refine any interesting region of cell state space. Because the refining process is performed by algebraic operation, the computer memory does not be increased additionally. Furthermore, the digraph dynamical properties can be preserved in the refining process. In order to implement it easily, an effective algorithm is designed. As an example,the Henon map is taken to demonstrate the validity and efficiency of this method.

关 键 词：图胞映射方法 迭代方法 HENON映射 

分 类 号：O175.2[理学—数学]