| 中文摘要 | 第1-8页 |
| Abstract | 第8-14页 |
| Chapter 1 Introduction | 第14-22页 |
| Chapter 2 Unboundedness of Solutions for Perturbed Asymmetric Os-cillators | 第22-38页 |
| ·Introduction and Main Results | 第23-24页 |
| ·Unbounded Motions of the Planar Mapping | 第24-25页 |
| ·Some Transformations and Estimates | 第25-30页 |
| ·Proofs of Theorems 2.1 and 2.2 | 第30-31页 |
| ·Proof of Theorem 2.3 | 第31-36页 |
| ·Discussion | 第36-38页 |
| Chapter 3 Unbounded Motions in Asymmetric Oscillators Depend-ing on Derivatives | 第38-50页 |
| ·Introduction and Main Results | 第39-40页 |
| ·Canonical Transformations and Some Estimates | 第40-46页 |
| ·Proofs of Theorems 3.1 and 3.2 | 第46-48页 |
| ·Proofs of Theorems 3.3 and 3.4 | 第48-50页 |
| Chapter 4 Bounded and Unbounded Motions in Asymmetric Oscilla-tors at Resonance | 第50-100页 |
| ·Introduction and Main Results | 第51-57页 |
| ·Action and Angle Variables | 第57-66页 |
| ·Proofs of the Boundedness Results | 第66-87页 |
| ·An Expression of the Associated Poincare′ Map | 第66-70页 |
| ·Proof of Theorem 4.1 | 第70-82页 |
| ·Proofs of Theorems 4.2 and 4.3 | 第82-87页 |
| ·Proofs of Theorems 4.4 and 4.5 | 第87-93页 |
| ·Unbounded Motions of Planar Mappings | 第87-90页 |
| ·Proofs of Theorems 4.4 and 4.5 | 第90-93页 |
| ·Appendix | 第93-100页 |
| Bibliography | 第100-106页 |
| Acknowledgment | 第106-108页 |
| Resume | 第108-109页 |
