Abstract:

The paper studies the synchronization problem of chaotic systems with different orders. In the case that part of or all parameters are unknown, according to Lyapunov Stability Theory and Adaptive Controlling Theory, the paper realizes the synchronization among derived systems and the synchronization among nonderived systems. For the unequal orders of different chaotic systems, the paper presents the adaptive controller and the adaptive law of parameters, thus making chaotic systems with different orders be able to synchronize with one another. Numerical simulation shows the effectiveness and feasibility of the proposal.

Key words: chaos synchronization;adaptive control;hyperchaotic Rssler system;chaos system