In this paper, we propose the theory of generalized anti-synchronization of two chaotic systems via linear transformations. We also propose the theory for generalized anti-synchronization of two non-autonomous chaotic systems. The functional relationship between the driving system and driven system after generalized anti-synchronization can be predicted by our theory. We discuss our theory taking a chaotic dynamo model and a four dimensional hyper-chaotic Chen and Lu system as examples. Finally, simulation results are presented to show the efficiency of our method.
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