The generalized Julia set perturbed by composing additive and multiplicative noises

DOI10.1155/2009/781976zbMath1186.37056OpenAlexW1990956991WikidataQ58647554 ScholiaQ58647554MaRDI QIDQ965741

Ruihong Jia, Yuan-Yuan Sun, Xing-Yuan Wang

Publication date: 26 April 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225163

zbMATH Keywords

Julia sets

Mathematics Subject Classification ID

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

Related Items (9)

Generalized quaternion M sets and Julia sets perturbed by dynamical noises ⋮ On a topological closeness of perturbed Julia sets ⋮ Research on characteristics of noise-perturbed M-J sets based on equipotential point algorithm ⋮ CONTROL AND SYNCHRONIZATION OF JULIA SETS GENERATED BY A CLASS OF COMPLEX TIME-DELAY RATIONAL MAP ⋮ Calculation of the structure of a shrub in the Mandelbrot set ⋮ Graphical representations for the homogeneous bivariate Newton's method ⋮ Julia sets and Mandelbrot sets in Noor orbit ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials

Cites Work

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• Noise perturbed generalized Mandelbrot sets
• The generalized Mandelbrot set perturbed by composing noise of additive and multiplicative
• 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
• A new type of condensation curvilinear path algorithm for unconstrained generalized geometric programming
• 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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