Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892654 | Chaos, Solitons & Fractals | 2015 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Anju Yadav, Mamta Rani,