| 摘要 | 第5-6页 |
| Abstract | 第6-7页 |
| Chapter 1 Introduction | 第10-33页 |
| 1.1 The development of chaos and hyperchaos | 第10-13页 |
| 1.2 Chaos theory and analytical methods | 第13-25页 |
| 1.2.1 Definitions of chaos | 第13-15页 |
| 1.2.2 Routes to generate chaos and analysis tools | 第15-19页 |
| 1.2.3 The main analytical methods of chaotic systems | 第19-25页 |
| 1.3 Typical hyperchaotic systems and Lorenz-type systems | 第25-31页 |
| 1.3.1 Typical hyperchaotic system | 第25-26页 |
| 1.3.2 4-Dimensional hyperchaotic Lorenz-type systems | 第26-28页 |
| 1.3.3 5-Dimensional hyperchaotic Lorenz-type systems | 第28-31页 |
| 1.4 The main contents of this thesis | 第31-33页 |
| Chapter 2 A New 6D HyperchaoticLorenz-Type System | 第33-54页 |
| 2.1 The 6D hyperchaotic Lorenz-type system with one equilibrium | 第33-40页 |
| 2.1.1 Form of the 6D hyperchaotic system | 第34-36页 |
| 2.1.2 Lyapunov exponents and bifurcation diagrams | 第36-40页 |
| 2.2 Dynamical behaviors of the 6D hyperchaotic system | 第40-54页 |
| 2.2.1 Stability of equilibrium | 第41-43页 |
| 2.2.2 Hopf bifurcation of the 6D new hyperchaotic system | 第43-54页 |
| Chapter 3 Another New 6D Hyperchaotic Lorenz-Type System With Oneor Three Equilibria | 第54-67页 |
| 3.1 Another new 6D hyperchaotic Lorenz-like system | 第54-62页 |
| 3.1.1 Form of another new 6D hyperchaotic system | 第56-58页 |
| 3.1.2 Lyapunov exponents and bifurcation diagram | 第58-62页 |
| 3.2 Dynamical behaviors of the 6D hyperchaotic system | 第62-64页 |
| 3.2.1 Dissipativity and equilibria | 第62-63页 |
| 3.2.2 Stability of equilibria | 第63-64页 |
| 3.3 Hopf bifurcation of the new 6D hyperchaotic system | 第64-67页 |
| Chapter 4 Scaling Synchronizationof 6D Hyperchaotic System | 第67-82页 |
| 4.1 The 6D hyperchaotic system | 第67-69页 |
| 4.2 Scaling synchronization via the one-way linear coupling approach | 第69-76页 |
| 4.3 Scaling synchronization via the adaptive method | 第76-82页 |
| Conclusions and Future Researches | 第82-84页 |
| Conclusions | 第82页 |
| Future Researches | 第82-84页 |
| References | 第84-92页 |
| 攻读博士学位期间的研究成果 | 第92-93页 |
| Acknowledgements | 第93-94页 |
| 附件 | 第94页 |
