Effect of noise on julij sets generjted by logistic MJP

Abstract

Julia sets are considered one of the most attractive fractals and have wide range of applications in science and engineering. Argyris et al. [4] have studied the effect of dynamic noise on Julia sets and concluded that Julia sets are stable for noises of low strength, and a small increment in the strength of noise may cause deterioration in configuration of the Julia sets. Rani and Agarwal [16] have generated Julia sets from complex logistic map. We study the effect of dynamic noise on the Julia sets generated by complex logistic map.

New Fixed Point Results for Fractal Generation in Jungck Noor Orbit withs-Convexity

“…Definition 3 (filled Julia set [1,3,7]). The filled Julia set of the function is denoted by ( ) and is defined as…”

“…In 1982, Mandelbrot [2] introduced superior iterates (a two-step feedback process) in the study of fractal theory and created superior Julia and Mandelbrot sets. Rani et al [5][6][7] generated and analyzed superior Julia and superior Mandelbrot sets for quadratic, cubic, and th degree complex polynomials. After creation of superior Mandelbrot sets, Negi and Rani [5] collected the properties of midgets of quadratic superior Mandelbrot sets.…”

Transcendental Picard-Mann hybrid Julia and Mandelbrot sets

“…Later on, in a series of papers Rani jointly with other researchers generated and analyzed superior Julia and superior Mandelbrot sets for quadratic, cubic and higher degree complex polynomials (see [13,15,16] and references therein). Per-turbed superior Julia and superior Mandelbrot sets due to noise have also been studied by researchers (see [14] and references therein). For a complete literature review of superior fractals until 2010, one may refer to Singh, Mishra and Sinkala [18].…”

New Julia and Mandelbrot Sets for a New Faster Iterative Process

“…Also, they have studied the fractal structure and discontinuity law of the generalized Julia sets generated from the extended complex mapping z n + c, where n ∈ R [25]. Further, Julia and Mandelbrot sets have been studied under the effect of noises [19,4,14,15,27]. In 2004, Rani and Kumar [17,18] introduced the superior iterate and created superior Julia and Mandelbrot sets for quadratic [17,18] and cubic [17,18] polynomials.…”