Closed curves of global bifurcations in Chua's equation:: A mechanism for their formation

被引：12
作者：
Algaba, A
Merino, M
Fernández-Sánchez, F
Rodríguez-Luis, AJ
机构：
[1] Univ Huelva, E Politecn Sup, Dept Math, La Rabida 21819, Huelva, Spain
[2] Univ Seville, ES Ingenieros, Dept Appl Math 2, Seville 41092, Spain
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 03期
关键词：
global bifurcations; T-point; Chua's equation;
D O I：
10.1142/S0218127403006789
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, the presence of closed bifurcation curves of homoclinic and heteroclinic connections has been detected in Chua's equation. We have numerically found and qualitatively described the mechanism of the formation/destruction of such closed curves. We relate this phenomenon to a failure of transversality in a curve of T-points in a three-dimensional parameter space.
引用
收藏
页码：609 / 616
页数：8
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