An parameters adaptive controll approach for realizing the synchronization of two chaotic systems

Adaptive synchronization of two chaotic systems with different parameters and initial values was studied.Based on the Lyapunov stability theory,an adaptive synchronization scheme was put forward.Numericalsimulation to Chen's chaos system and Rssler hyperchaos system was demonstrated.Control function and parameter adaptive law can be chosen suitably so that the global stability of synchronization systems was ensured even if there exist parameter errors between driving system and response system.Numerical results demonstrated the effectiveness of the proposed control scheme.