| 摘要 | 第1-7页 |
| ABSTRACT | 第7-9页 |
| Chapter 1 Introduction | 第9-16页 |
| Chapter 2 Bifurcation of limit cycles from a heteroclinic loop with two cusps | 第16-31页 |
| ·Main result for the case 4 | 第16-17页 |
| ·Proof of main result | 第17-23页 |
| ·Limit cycles of some Lie′nard system having a heteroclinic loop connecti two cusps | 第23-26页 |
| ·Limit cycles of some Z3-equivariant system with a heteroclinic loop connecti three cusps | 第26-31页 |
| Chapter 3 Bifurcation of limit cycles from a heteroclinic loop with a cusp and a | 第31-38页 |
| ·Main result for the case 5 | 第31-32页 |
| ·Proof of main result | 第32-35页 |
| ·Limit cycles of some Lie′nard system having a heteroclinic loop connecting a saddle and a cusp | 第35-38页 |
| Chapter 4 Finding limit cycles for some Z4-equivariant system using Han Maoan’ Method | 第38-61页 |
| ·Introduction | 第38-42页 |
| ·Limit cycles of some quintic Z4-equivariant near-Hamiltonian system | 第42-53页 |
| ·small limit cycles of some seventh Z4-equivarant near-Hamiltonian system | 第53-61页 |
| 致谢 | 第61-62页 |
| 参考文献 | 第62-66页 |
| 攻读学位期间取得的研究成果 | 第66页 |
