Open AccessJulia Set with Trigonometric Function
Publication year - 2019
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.b1026.0782s719
Subject(s) - julia set , iterated function , sine , newton fractal , mathematics , trigonometric functions , initialization , function (biology) , trigonometry , inverse trigonometric functions , pure mathematics , complex quadratic polynomial , discrete mathematics , mathematical analysis , algorithm , computer science , iterative method , geometry , local convergence , evolutionary biology , polynomial , biology , programming language
Julia sets are generated by initializing a complex number z = x + yi where z is then iterated using the iteration function fc (z)= zn 2 + c, where n indicates the number of iteration and c is a constant complex number. Recently, study of cubic Julia sets was introduced in Noor Orbit (NO) with improved escape criterions for cubic polynomials. In this paper, we investigate the complex dynamics of different functions and apply the iteration function to generate an entire new class of Julia sets. Here, we introduce different types of orbits on cubic Julia sets with trigonometric functions. The two functions to investigate from Julia sets are sine and cosine functions.