The Twisting Bifurcations of Double Homoclinic Loops with Resonant Eigenvalues

被引：0

作者：

Li, Xiaodong ^{[1
]}

Zhang, Weipeng ^{[1
]}

Geng, Fengjie ^{[2
]}

Huang, Jicai ^{[3
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] China Univ Geosci, Sch Informat Engn, Beijing 100083, Peoples R China

[3] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

中国国家自然科学基金;

关键词：

REVERSIBLE-SYSTEMS; LORENZ ATTRACTORS; LIMIT-CYCLES; ORBIT-FLIP; SADDLE;

D O I：

10.1155/2013/152518

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The twisting bifurcations of double homoclinic loops with resonant eigenvalues are investigated in four-dimensional systems. The coexistence or noncoexistence of large 1-homoclinic orbit and large 1-periodic orbit near double homoclinic loops is given. The existence or nonexistence of saddle-node bifurcation surfaces is obtained. Finally, the complete bifurcation diagrams and bifurcation curves are also given under different cases. Moreover, the methods adopted in this paper can be extended to a higher dimensional system.

引用

页数：11

共 32 条

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