Noise perturbed generalized Mandelbrot sets
From MaRDI portal
Publication:936584
DOI10.1016/j.jmaa.2008.04.032zbMath1143.37039OpenAlexW1968808817MaRDI QIDQ936584
Yahui Lang, Zhenfeng Zhang, Zhen Wang, Xing-Yuan Wang
Publication date: 14 August 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.032
Related Items
On a topological closeness of perturbed Mandelbrot sets ⋮ PARAMETER ESTIMATION OF THE CLASSICAL FRACTAL MAP BASED ON A GIVEN JULIA SET’S SHAPE ⋮ On probabilistic Mandelbrot maps ⋮ 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” ⋮ 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 ⋮ ON A CLOSENESS OF THE JULIA SETS OF NOISE-PERTURBED COMPLEX QUADRATIC MAPS ⋮ 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 ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials ⋮ Control and synchronization of Julia sets of the complex dissipative standard system ⋮ Optimal Control and Synchronization of Alternated Julia Sets ⋮ The symmetry in the noise-perturbed Mandelbrot set ⋮ Orbit trap rendering methods for generating colorful symmetric images in three-dimensional space
Cites Work
- Unnamed Item
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- 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
- Research on fractal structure of generalized M--J sets utilized Lyapunov exponents and periodic scanning techniques
- ANALYSIS OF C-PLANE FRACTAL IMAGES FROM z ← zα + c FOR (α < 0)
- EXPERIMENTAL SYNCHRONIZATION OF CHAOS USING CONTINUOUS CONTROL
- On the Julia sets of a noise-perturbed Mandelbrot map
