کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
759616 | 896485 | 2012 | 9 صفحه PDF | دانلود رایگان |
Mandelbrot is best appreciated for his broad attempt to describe irregular shapes in nature. He founded fractal geometry in 1975. Subsequently the whole fractal theory developed using one-step feedback systems. In 2002, an attempt was made to study and analyze fractal objects using two-step feedback systems. Researchers used superior iteration methods to implement two-step feedback systems. This was the beginning of a new iterative approach in the study of fractal models, and it seems promising to extend fractal theory. The purpose of this paper is to present a review of literature in fractal analysis using this new iterative approach and explore its potential applications.
► Initially, fractals were generated using one-step feedback systems.
► Here we review fractal analysis using a new iterative approach – superior iterations.
► We survey some fractals generated via the superior approach.
► These include superior Julia sets and superior Mandelbrot sets.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 2, February 2012, Pages 521–529