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Synchronization of Julia sets of complex systems

Liu Shu-Tang Zhang Yong-Ping

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Synchronization of Julia sets of complex systems

Liu Shu-Tang, Zhang Yong-Ping
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  • Julia set, being a fractal set in the literature of nonlinear physics, has significance for the engineering applications. In this work, we are the first to define the synchronization of Julia sets between different systems and introduce a nonlinear coupling method to realize the synchronization of Julia sets of the same systems but with different parameters. We also illustrate the effectiveness of our method by the synchronization of Julia sets of polynomial and trigonometric functions respectively.
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  • Abstract views:  6916
  • PDF Downloads:  851
  • Cited By: 0
Publishing process
  • Received Date:  13 May 2007
  • Accepted Date:  20 May 2007
  • Published Online:  05 January 2008

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