Cubic Superior Julia Sets
نویسندگان
چکیده
Bodil Branner and John Hubbard produced the first extensive study of iterated complex maps for cubic polynomials in Picard orbit [Acta Math., 160(3-4):1988, 143-206]. Since then few researchers worked on Julia sets for cubic polynomials. In 2004, Rani and Kumar [J. Korea Soc. Math. Educ. Ser. D; Research in Math. Educ., 8(4):2004, 261-277] studied cubic polynomials in superior orbit and gave improved escape criterion for generation of cubic complex maps. In this paper, few interesting Julia sets for cubic polynomials in superior orbit have been visualized. Key-Words: Cubic superior Julia set, Superior orbit, Julia set, Superior escape criterion, Prisoner set.
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Study of Cubic Julia Sets in NO
Julia sets are considered one of the most attractive fractals and have wide range of applications in science and engineering. In recent decades, Rani and Kumar [26], introduced the Julia sets in superior orbits with improved escape criterions for the cubic polynomials. Our goal in this paper is to study the Julia sets in Noor orbit for the cubic polynomials 3 z z mz n . It is interesting ...
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