On the Julia set of the perturbed Mandelbrot map

DOI10.1016/S0960-0779(99)00101-0zbMath0954.37024OpenAlexW2010397987WikidataQ123023559 ScholiaQ123023559MaRDI QIDQ1577201

Theodoros E. Karakasidis, Ioannis Andreadis, J. H. Argyris

Publication date: 15 February 2001

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00101-0

zbMATH Keywords

noiseJulia setnon-analytic perturbationsperturbed Mandelbrot map

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (24)

On the spatial Julia set generated by fractional Lotka-Volterra system with noise ⋮ On a topological closeness of perturbed Mandelbrot sets ⋮ Additive perturbed generalized Mandelbrot-Julia sets ⋮ Generalized quaternion M sets and Julia sets perturbed by dynamical noises ⋮ On probabilistic Mandelbrot maps ⋮ Control of generalized Julia sets ⋮ On a topological closeness of perturbed Julia sets ⋮ Research on characteristics of noise-perturbed M-J sets based on equipotential point algorithm ⋮ A new iterative approach to fractal models ⋮ CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP ⋮ A system of alternately excited coupled non-autonomous oscillators manifesting phenomena intrinsic to complex analytical maps ⋮ Calculation of the structure of a shrub in the Mandelbrot set ⋮ Noise perturbed generalized Mandelbrot sets ⋮ ON A CLOSENESS OF THE JULIA SETS OF NOISE-PERTURBED COMPLEX QUADRATIC MAPS ⋮ Julia sets and Mandelbrot sets in Noor orbit ⋮ Super-attracting cycles for the cosine-root family ⋮ The generalized Julia set perturbed by composing additive and multiplicative noises ⋮ On the noise-perturbed spatial Julia set generated by Lorenz system ⋮ On the Julia sets of a noise-perturbed Mandelbrot map ⋮ Effect of stochastic noise on superior Julia sets ⋮ The generalized Mandelbrot set perturbed by composing noise of additive and multiplicative ⋮ Optimal Control and Synchronization of Alternated Julia Sets ⋮ Noise-perturbed quaternionic Mandelbrot sets ⋮ The symmetry in the noise-perturbed Mandelbrot set

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On perturbations of the Mandelbrot map
• Smooth Decomposition of Generalized Fatou Set Explains Smooth Structure in Generalized Mandelbrot Set

This page was built for publication: On the Julia set of the perturbed Mandelbrot map