Adaptive synchronization of unidirectional and mutual coupled chaotic systems

Two theorems for adaptive synchronization of unidirectional and mutual coupled nonautonomous chaotic systems are derived individually. An adaptive coupling gain is realized by adopting an adaptive law to estimate the Lipschitz constant of the chaotic system. The Lorenz system and the Duffing system are simulated to illustrate theoretical results for unidirectional and mutual coupled chaotic systems, respectively.