Results 81 to 90 of about 2,419 (215)
Coefficients associated with the reciprocal of the Mandelbrot set [PDF]
, 1992 A useful formula is given for the coefficients of the conformal mapping from the unit disk onto the complement of the reciprocal of the Mandelbrot set. As a consequence, a number of coefficients are determined.
Schober, Glenn, Ewing, John H
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Journal of Geophysical Research: Planets, Volume 131, Issue 4, April 2026.Abstract The fractal dimensions of lava flow margins on Earth often correlate with their flow morphologies and have been used to tentatively identify flow morphology on other rocky planets where fine‐scale observations are limited. Previous studies of lava flow margins on Venus have reported fractal dimensions (D) mostly within the range between 1.05 ...
E. M. Recchuiti +3 more
wiley +1 more source
Exploring the Mandelbrot Set [PDF]
The Mandelbrot set is a mathematical mystery. Finding its home somewhere be-tween holomorphic dynamics and complex analysis, the Mandelbrot set showcasesits usefulness in fields across the many realms of math—ranging from physics to nu-merical methods ...
Shirley, James
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A Generalized Mandelbrot Set Based On Distance Ratio [PDF]
, 2006 The iteration of complex function can generate beautiful fractal images. This paper presents a novel method based on the iteration of the distance ratio with two points, which generates a generalized Mandelbrot set according to distance ratio convergence
Lv, Tianyang +2 more
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The Mandelbrot set is universal [PDF]
, 1998 We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of rational maps. 1 Introduction Fix an integer d 2, and let p c (z) = z d + c.
Curtis T. Mcmullen
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The relationship between Mandelbrot set and Julia sets. [PDF]
, 2014 The relationship between Mandelbrot set and Julia sets.
Ruiqing Kong (505631) +4 more
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Sequential visualisation methods for the Mandelbrot set [PDF]
, 2010 Sequential visualisation methods for the most widely used methods for the graphical representation of the Mandelbrot set are compared. Two groups of methods are presented.
Drakopoulos, V.
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On periodic and chaotic regions in the Mandelbrot set [PDF]
, 2007 11 pages, 5 figures.-- Available online Dec 20, 2005.We show here in a graphic and simple way the relation between the periodic and chaotic regions in the Mandelbrot set.
Pastor, Gerardo +4 more
core +1 more source
When integers embrace the beauty of complex numbers [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаPurpose. This article investigates how fixed-point arithmetic and discrete recursive models can reveal structured behaviours in systems traditionally considered chaotic. Methods.
Alcover-Garau, Pedro-Maria +1 more
doaj +1 more source
Newton-Mandelbrot set and Murase-Mandelbrot set
We obtain four extended Newton's methods and three extended Mandelbrot's recurrence formulas from the Wasan (Japanese mathematics in the Edo period (1603-1868)). Furthermore, two extended Newton's methods relate to one of the extended Mandelbrot's recurrence formulas. We lead four types of extended Mandelbrot recurrence formulas.
openaire +2 more sources