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Alternate superior Julia sets

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  • Yadav, Anju
  • Rani, Mamta

Abstract

Alternate Julia sets have been studied in Picard iterative procedures. The purpose of this paper is to study the quadratic and cubic maps using superior iterates to obtain Julia sets with different alternate structures. Analytically, graphically and computationally it has been shown that alternate superior Julia sets can be connected, disconnected and totally disconnected, and also fattier than the corresponding alternate Julia sets. A few examples have been studied by applying different type of alternate structures.

Suggested Citation

  • Yadav, Anju & Rani, Mamta, 2015. "Alternate superior Julia sets," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 1-9.
    • Handle: RePEc:eee:chsofr:v:73:y:2015:i:c:p:1-9
    DOI: 10.1016/j.chaos.2014.12.008
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    References listed on IDEAS

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    1. Levinsohn, Erik A. & Mendoza, Steve A. & Peacock-López, Enrique, 2012. "Switching induced complex dynamics in an extended logistic map," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 426-432.
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    Cited by:

    1. Kumar, Deepak & Rani, Mamta, 2022. "Alternated superior chaotic variants of gravitational search algorithm for optimization problems," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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