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Spatiotemporal characteristics and geophysical drivers of the fractal dimension and b-value in North China seismicity. [PDF]

PLoS One
Bi J, Li Y, Pan Y.
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Fuzzy Superior Mandelbrot Sets

Soft Computing, 2022
Tahir Mahmood
exaly   +2 more sources

Generalized fuzzy Mandelbrot and Mandelbar sets

Communications in Nonlinear Science and Numerical Simulation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakarya Üniversitesi, Fen Fakültesi, Matematik Bölümü, İnce İ., Ersoy S.   +2 more
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THE INDEX ON THE MANDELBROT SET

International Journal of Bifurcation and Chaos, 1993
It is known that the index on the Mandelbrot set introduces a Fibonacci partition. In this paper we will give an interpretation of this property.
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π IN THE MANDELBROT SET

Fractals, 2001
The Mandelbrot set is arguably one of the most beautiful sets in mathematics. In 1991, Dave Boll discovered a surprising occurrence of the number π while exploring a seemingly unrelated property of the Mandelbrot set.1 Boll's finding is easy to describe and understand, and yet it is not widely known — possibly because the result has not been ...
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Field lines in the Mandelbrot Set

Computers & Graphics, 1992
Abstract A technique for displaying color images of field lines surrounding the Mandelbrot Set using angle-slicing decomposition and a “contrast color lookup table,” is described. A modification of this method, which compensates for the spatial-frequency doubling inherent in angle-slicing decomposition, can produce black and white images that even ...
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Spirals in the Mandelbrot set II

Physica A: Statistical Mechanics and its Applications, 1994
Abstract The alpha function is used to quantify the (asymptotic) structure of the various branches and embedded spirals around the left-hand side of the main cardioid in the Mandelbrot set.
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GEOMETRY OF THE ANTENNAS IN THE MANDELBROT SET

Fractals, 2002
In the Mandelbrot set, the bulbs attached directly to the main cardioid are called the p/q-bulbs. The reason for this is that the largest component of the interior of these bulbs consists of c-values for which the quadratic function Qc(z) = z2 + c admits an attracting cycle with rotation number p/q.
Devaney, R. L., Moreno Rocha, M.
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