Julia Set with Trigonometric Function
JulliaTitaley1, Benny Pinontoan2, Henriette Titaley3
1Jullia Titaley, Department of Mathematics, Sam Ratulangi University, Indonesia.
2Benny Pinontoan, Department of Mathematics, Sam Ratulangi University, Indonesia.
3Henriette Titaley, Department of Civil Engineering, Politeknik Negeri Ambon, Indonesia.
Manuscript received on 02 August 2019 | Revised Manuscript received on 25 August 2019 | Manuscript Published on 05 September 2019 | PP: 115-119 | Volume-8 Issue-2S7 July 2019 | Retrieval Number: B10260782S719/2019©BEIESP | DOI: 10.35940/ijrte.B1026.0782S719
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: 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.
Keywords: Julia Sets, Cubic Julia Set, Trigonometric Functions.
Scope of the Article: Civil and Environmental Engineering