Abstract
Fractals play a vital role in modeling the natural environment. The present aim is to investigate the escape criterion to generate specific fractals such as Julia sets, Mandelbrot sets and Multi-corns via F-iteration using complex functions h(z)=zn+c, h(z)=sin(zn)+c and h(z)=ezn+c, n≥2,c∈C. We observed some beautiful Julia sets, Mandelbrot sets and Multi-corns for n = 2, 3 and 4. We generalize the algorithms of the Julia set and Mandelbrot set to visualize some Julia sets, Mandelbrot sets and Multi-corns. Moreover, we calculate image generation time in seconds at different values of input parameters.
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference30 articles.
1. Barnsley, M. Fractals Everywhere, 1993.
2. Mandelbrot, B.B. The Fractal Geometry Nature, 1982. Volume 2.
3. On the symmetries of the Julia sets for the process zp+c;Lakhtakia;J. Phys. A Math. Gen.,1987
4. On the structure of the Mandelbar set;Crowe;Nonlinearity,1989
5. Quaternion Julia set shape optimization;Kim;Comput. Graph. Forum,2015
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献