| Global Bifurcation of a Perturbed Double-Homoclinic Loop |
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| 引用本文： | Desheng SHANG,Maoan HAN. Global Bifurcation of a Perturbed Double-Homoclinic Loop[J]. 数学年刊B辑(英文版), 2006, 27(4): 425-436. DOI: 10.1007/s11401-004-0487-4 |
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| 作者姓名： | Desheng SHANG Maoan HAN |
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| 作者单位： | Desheng SHANG Maoan HAN School of Mathematics and Information Science，Shandong University of Technology，Zibo 255049，Shandong，China. School of Mathematical Sciences，Shanghai Normal University，Shanghai 200234，China. |
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| 基金项目： | 国家自然科学基金;上海市重点学科建设项目 |
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| 摘 要： | This paper deals with a kind of fourth degree systems with perturbations. By using the method of multi-parameter perturbation theory and qualitative analysis, it is proved that the system can have six limit cycles.
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| 关 键 词： | 扰动 分叉 立方系统 极限周期 哈密顿系统 数学分析 |
| 收稿时间： | 2004-11-17 |
Global Bifurcation of a Perturbed Double-Homoclinic Loop |
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| Desheng SHANG and Maoan HAN. Global Bifurcation of a Perturbed Double-Homoclinic Loop[J]. Chinese Annals of Mathematics,Series B, 2006, 27(4): 425-436. DOI: 10.1007/s11401-004-0487-4 |
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| Authors: | Desheng SHANG and Maoan HAN |
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| Affiliation: | 1. School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, Shandong, China
2. School of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | This paper deals with a kind of fourth degree systems with perturbations. By using the method of multi-parameter perturbation theory and qualitative analysis, it is proved that the system can have six limit cycles. |
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| Keywords: | Perturbation Bifurcation Cubic system Limit cycle Hamiltonian system Homoclinic loop |
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