The generalized Mandelbrot set perturbed by composing noise of additive and multiplicative

DOI10.1016/j.amc.2008.12.017zbMath1160.37372OpenAlexW2075190036MaRDI QIDQ1015787

Ruihong Jia, Zhenfeng Zhang, Xing-Yuan Wang

Publication date: 30 April 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.017

zbMATH Keywords

fractalscomposing noise perturbationperturbed generalized \(M\) set

Mathematics Subject Classification ID

Related Items (19)

On a topological closeness of perturbed Mandelbrot sets ⋮ A brief note on fractal dynamics of fractional Mandelbrot sets ⋮ On a topological closeness of perturbed Julia sets ⋮ Research on characteristics of noise-perturbed M-J sets based on equipotential point algorithm ⋮ A PRELIMINARY STUDY ON THE FRACTAL PHENOMENON: “DISCONNECTED+ DISCONNECTED=CONNECTED” ⋮ A new iterative approach to fractal models ⋮ CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP ⋮ A SHORT NOTE ON THE BOUNDEDNESS ANALYSIS AND CONTROL OF THE SPATIAL FRACTAL SET FROM A KIND OF CHAIN COUPLING LOGISTIC TYPE MAP ⋮ Control of the thermal fractal diffusion of tightly compressed heterogeneous layers of thin plates ⋮ Calculation of the structure of a shrub in the Mandelbrot set ⋮ On numerical approximations of the area of the generalized Mandelbrot sets ⋮ Graphical representations for the homogeneous bivariate Newton's method ⋮ Julia sets and Mandelbrot sets in Noor orbit ⋮ Coupling patterns of external arguments in the multiple-spiral medallions of the Mandelbrot set ⋮ The generalized Julia set perturbed by composing additive and multiplicative noises ⋮ Effect of stochastic noise on superior Julia sets ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials ⋮ The symmetry in the noise-perturbed Mandelbrot set

Cites Work

• Unnamed Item
• On perturbations of the Mandelbrot map
• On the Julia set of the perturbed Mandelbrot map
• Accurate computation of component centers in the degree-\(n\) bifurcation set
• Physical meaning for Mandelbrot and Julia sets
• The influence of noise on the correlation dimension of chaotic attractors
• Additive perturbed generalized Mandelbrot-Julia sets
• A new approach to dynamic noise on superior Mandelbrot set
• Research on fractal structure of generalized M--J sets utilized Lyapunov exponents and periodic scanning techniques
• ANALYSIS OF C-PLANE FRACTAL IMAGES FROM z ← z^α + c FOR (α < 0)
• RESEARCH ON BROWNIAN MOVEMENT BASED ON GENERALIZED MANDELBROT–JULIA SETS FROM A CLASS COMPLEX MAPPING SYSTEM
• On the Julia sets of a noise-perturbed Mandelbrot map

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