Alternate superior Julia sets. (April 2015)

• Record Type: Journal Article
• Authors: Yadav, Anju; Rani, Mamta
• Is Part Of: Chaos, solitons and fractals. Volume 73(2015)
• Page Start: 1
• Page End: 9
• Publication Date: 2015-04
• Subjects: Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2014.12.008
• Languages: English
• ISSNs: 0960-0779

Abstract

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.