Dual synchronization based on two different chaotic systems: Lorenz systems and Rössler systems

  • Authors:

  • Di Ning;Jun-an Lu;Xiuping Han

  • Affiliations:

  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China and Department of Mathematics, South-Central University for Nationalities, Wuhan 430074, China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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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 Rossler 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.