Dual synchronization based on two different chaotic systems: Lorenz systems and Rössler systems |
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Authors: | Di Ning Jun-an Lu Xiuping Han |
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Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;2. Department of Mathematics, South-Central University for Nationalities, Wuhan 430074, China |
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Abstract: | In this paper, we improve and extend the works of Liu and Davids Dual synchronization of chaos, Phys. Rev. E 61 (2000) 2176–2179] which only introduce the dual synchronization of 1-D discrete chaotic systems. The dual synchronization of two different 3-D continuous chaotic systems, Lorenz systems and Rössler systems, is discussed. And a sufficient condition of dual synchronization about the two different chaotic systems is obtained. Theories and numerical simulations show the possibility of dual synchronization and the effectiveness of the method. |
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Keywords: | 34C28 37D45 37L45 |
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