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Control of generalized Julia sets

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  • Zhang, Yongping
  • Sun, Weihua
  • Liu, Shutang

Abstract

Control of generalized Julia sets generated from the discrete system zn+1=znr+c and the continuous system dzdt=zr+c is achieved by the auxiliary reference feedback control method respectively in this paper. Also, for two different systems with different system parameters, their Julia sets are coupled and eventually are changed to be the same one, which realizes the coupling between two different Julia sets.

Suggested Citation

  • Zhang, Yongping & Sun, Weihua & Liu, Shutang, 2009. "Control of generalized Julia sets," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1738-1744.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1738-1744
    DOI: 10.1016/j.chaos.2009.03.085
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    References listed on IDEAS

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