Nontransversal curves of T-points:: a source of closed curves of global bifurcations

被引：12
作者：
Algaba, A
Fernández-Sánchez, F
Freire, E
Merino, M
Rodríguez-Luis, AJ
机构：
[1] Univ Sevilla, Dept Matemat Aplicada 2, ES Ingenieros, Seville 41092, Spain
[2] Univ Huelva, E Super Politecn, Dept Matemat, La Rabida 21819, Huelva, Spain
来源：
PHYSICS LETTERS A | 2002年 / 303卷 / 2-3期
关键词：
homoclinic/heteroclinic bifurcations; T-points;
D O I：
10.1016/S0375-9601(02)01256-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A model is derived to explain the existence of closed bifurcation curves of homoclinic and heteroclinic connections in autonomous three-dimensional systems. This scenario is related to the failure of transversality in a curve of a certain kind of codimension-two heteroclinic loops. The predictions deduced from this model strongly agree with the numerical results obtained in a modified van der Pol-Duffing electronic oscillator. (C) 2002 Elsevier Science B.V. All rights reserved.
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收藏
页码：204 / 211
页数：8
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