Abstract
Based on Lyapunov stability theory, a new method combining feedback control and adaptive control is proposed for the synchronization between two different chaotic systems. This method can be applied to solve synchronization problems of several classes of chaotic systems, e.g., Lorenz system, Chen system, Lii system, liu system, and Rossler system. It offers a general way of choice for the controller, and furthermore, for some concrete systems the controller can be simplified. Numerical simulation results are presented to demonstrate the effectiveness of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 5681-5687 |
| Number of pages | 7 |
| Journal | Wuli Xuebao/Acta Physica Sinica |
| Volume | 55 |
| Issue number | 11 |
| State | Published - Nov 2006 |
Keywords
- Chaos synchronization
- Lorenz system
- Lyapunov function
- Rössler system