| Abstract | 第1-5页 |
| 摘要 | 第5-7页 |
| Chapter 1 Introduction | 第7-9页 |
| ·Research Background | 第7-8页 |
| ·organization of the dissertation | 第8-9页 |
| Chapter 2 Preliminaries | 第9-14页 |
| ·T-B bifurcation for Ordinary Differential Equations | 第9-14页 |
| ·Derivation of the normal form | 第9-12页 |
| ·Bifurcation of the system of ODEs near a T-B singularity | 第12-14页 |
| Chapter 3:T-B bifurcation in differential equations with two delays | 第14-27页 |
| ·Characterization of the T-B singularity in differential systems with two delays | 第14-17页 |
| ·Reduction and normal forms for differential systems with two constant delays | 第17-25页 |
| ·Homoclinic orbits and Hopf bifurcations near T-B point | 第25-27页 |
| Chapter 4 Conclusion | 第27-28页 |
| References | 第28-29页 |
| Acknowledgements | 第29页 |
