The twisting bifurcations of double homoclinic loops with resonant eigenvalues

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成果类型：

期刊论文

作者：

Li, Xiaodong;Zhang, Weipeng*;Geng, Fengjie;Huang, Jicai

通讯作者：

Zhang, Weipeng

作者机构：

[Zhang, Weipeng; Li, Xiaodong] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China.

[Geng, Fengjie] China Univ Geosci, Sch Informat Engn, Beijing 100083, Peoples R China.

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

通讯机构：

[Zhang, Weipeng] N

NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China.

语种：

英文

期刊：

Abstract and Applied Analysis

ISSN：

1085-3375

年：

2013

卷：

2013

DOI：

10.1155/2013/152518

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11001041, 11101170, 11202192, 11271065, 10926105]; SRFDPSpecialized Research Fund for the Doctoral Program of Higher Education (SRFDP) [200802001008]; State Scholarship Fund of the China Scholarship CouncilChina Scholarship Council [2011662521, 2011842509]

机构署名：

本校为其他机构

院系归属：

数学与统计学学院

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 extende...

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The twisting bifurcations of double homoclinic loops with resonant eigenvalues

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