On Shil'nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System

被引：7

作者：

Algaba, Antonio ^{[1
]}

Fernandez-Sanchez, Fernando ^{[2
]}

Merino, Manuel ^{[1
]}

Rodriguez-Luis, Alejandro J. ^{[2
]}

机构：

[1] Univ Huelva, Dept Math, Fac Ciencias Expt, Huelva 21071, Spain

[2] Univ Seville, Dept Appl Math 2, ES Ingenieros, Seville 41092, Spain

来源：

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2013年 / 8卷 / 02期

关键词：

SILNIKOV CHAOS; CHEN CIRCUIT; EXISTENCE; ATTRACTOR;

D O I：

10.1115/1.4006788

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In the referenced paper, the authors use the undetermined coefficient method to analytically construct homoclinic and heteroclinic orbits in the T system. Unfortunately their method is not valid because they assume odd functions for the first component of the homoclinic and the heteroclinic orbit whereas these Shil'nikov global connections do not exhibit symmetry.

引用

页数：4

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