A modified digraph cell mapping method

被引：11

作者：

He Qun ^{[1
]}

Xu Wei ^{[1
]}

Li Shuang ^{[1
]}

Xiao Yu-Zhu ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

来源：

ACTA PHYSICA SINICA | 2008年 / 57卷 / 02期

关键词：

digraph cell mapping method; invariant manifolds; Henon map;

D O I：

10.7498/aps.57.743

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By introducing new concepts, this paper presents a new classification of transient cells for the digraph cell mapping dynamical system. Based on this new classification, the approximation problem of the invariant manifolds of dynamical system is discussed in detail. In order to improve the efficiency and speed of computing, an effective algorithm is given to complete the above classification. As an illustrative example, Henon map is taken to demonstrate the validity of the modified digraph cell mapping method.

引用

页码：743 / 748

页数：6

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