The book focuses on fractal control and applications in various fields. Fractal phenomena
occur in nonlinear models, and since the behaviors depicted by fractals need to be …

Complex-valued quadratic maps either converge to fixed points, enter into periodic cycles,
show aperiodic behavior, or diverge to infinity. Which of these scenarios takes place …

We numerically study a network of two identical populations of identical real-valued
quadratic maps. Upon variation of the coupling strengths within and across populations, the …

This paper broadens the research on planar Mandelbrot set to the spatial case by
investigating the Mandelbrot set generated in coupled map lattice (CML M-set for short). The …

Control of spatially extended systems is an important and challenging topic of research.
Previous control techniques rely on local or global feedback control. In this paper, for the first …

In this study, the quaternion Mandelbrot sets and Julia sets (abbreviated as M–J sets) with
additive and multiplicative noise perturbations are constructed and the changes of their …

Scouting the Mandelbrot set with memory - Alonso‐Sanz - 2016 - Complexity - Wiley Online
Library Skip to Article Content Skip to Article Information Wiley Online Library Wiley Online …

Julia and Mandelbrot sets have been intensively studied, but most of the studies are limited
to its properties and drawings of its graphics for different types of functions. So, the effective …

In this paper, we focus on the periodic points during the iteration process to understand the
convergence characteristics of the Mandelbrot set. A new internal structure of the …