ON A CLOSENESS OF THE JULIA SETS OF NOISE-PERTURBED COMPLEX QUADRATIC MAPS

DOI10.1142/S0218127412502215zbMath1258.37061WikidataQ121892031 ScholiaQ121892031MaRDI QIDQ4907088

Theodoros E. Karakasidis, Ioannis Andreadis

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Julia setcomplex quadratic mapdeviation distancenoise-perturbed complex quadratic map

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (8)

On the spatial Julia set generated by fractional Lotka-Volterra system with noise ⋮ Synchronization between the spatial Julia sets of complex Lorenz system and complex Henon map ⋮ Research on characteristics of noise-perturbed M-J sets based on equipotential point algorithm ⋮ A PRELIMINARY STUDY ON THE FRACTAL PHENOMENON: “DISCONNECTED+ DISCONNECTED=CONNECTED” ⋮ 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 ⋮ On the noise-perturbed spatial Julia set generated by Lorenz system ⋮ The symmetry in the noise-perturbed Mandelbrot set

Cites Work

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• On probabilistic Mandelbrot maps
• Noise perturbed generalized Mandelbrot sets
• Effect of stochastic noise on superior Julia sets
• On perturbations of the Mandelbrot map
• On the Julia set of the perturbed Mandelbrot map
• The influence of noise on the correlation dimension of chaotic attractors
• Noise-perturbed quaternionic Mandelbrot sets

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