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This paper derives new results for the hybrid synchronization of identical Liu systems, identical L? systems, and non-identical Liu and L? systems via adaptive control method. Liu system (Liu et al. 2004) and L? system (L? and Chen, 2002) are important models of three-dimensional chaotic systems. Hybrid synchronization of the three-dimensional chaotic systems addressed in this paper is achieved through the synchronization of the first and last pairs of states and anti-synchronization of the middle pairs of the two systems. Adaptive control method is deployed in this paper for the general case when the system parameters are unknown.
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