Results 11 to 20 of about 6,088,715 (228)

The Parabolic Mandelbrot Set [PDF]

, 2021
This revised version has 80 pages, 26 ...
Carsten Lunde Petersen, Pascale Roesch
openalex   +3 more sources

Instability of the Mandelbrot Set [PDF]

Zeitschrift für Naturforschung A, 1987
Numerical evidence is presented that perturbations away from analyticity change the qualitative structure of the Mandelbrot set. The changes affect both the form and the surface structure. Most characteristically, the infinitely thin “necks” disappear. At at least one place, the surface structure becomes smooth.
Joachim Peinke, Jürgen Parisi, B. Röhricht, Otto E. Rössler   +3 more
openalex   +2 more sources

Escape Criteria Using Hybrid Picard S-Iteration Leading to a Comparative Analysis of Fractal Mandelbrot Sets Generated with S-Iteration [PDF]

Fractal and Fractional
Fractals are a common characteristic of many artificial and natural networks having topological patterns of a self-similar nature. For example, the Mandelbrot set has been investigated and extended in several ways since it was first introduced, whereas ...
Rekha Srivastava, Asifa Tassaddiq, Ruhaila Md Kasmani   +2 more
doaj   +2 more sources

Review of "Fractals and Chaos: The Mandelbrot Set and Beyond", by B. Mandelbrot [PDF]

BioMedical Engineering OnLine, 2005
Diaspro Alberto
doaj   +2 more sources

Mandelbrot Set + Symmetry Groups ∗ Higher Dimensions = ? [PDF]

Discrete & Computational Geometry, 2012
The author constructs higher-dimensional analogs of the Mandelbrot set. These analogs are referred to as MandalaBeth sets. By construction, these sets are invariant under the action of certain symmetry groups. It is shown that the generating function of a MandalaBeth set is the sum (over the symmetry group) of conjugates (by isometries) of the ...
Elizabeth R. Chen
openalex   +2 more sources

Outcome of fetal ovarian cysts following in-utero aspiration vs expectant management: multicenter cohort study. [PDF]

Ultrasound Obstet Gynecol
ABSTRACT Objective The primary aim was to evaluate pre‐ and postnatal morphological changes in large simple fetal ovarian cysts following in‐utero aspiration compared with expectant management. Secondary aims were to assess postnatal outcome in terms of surgical intervention and to evaluate complications associated with in‐utero aspiration.
Peyronnet V, Tudal L, Egloff C, Veluppillai C, Noël C, Tordjeman N, Mairovitz V, Lieng C, Tassin M, Picone O, Mandelbrot L.   +10 more
europepmc   +2 more sources

A study of Mandelbrot and Julia Sets via Picard-Thakur iteration with s-convexity. [PDF]

PLoS One
Nawaz B, Gdawiec K, Ullah K, Aphane M.
europepmc   +3 more sources

Fuzzy Mandelbrot sets

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ince, Ibrahim, Ersoy, Soley
openaire   +2 more sources

Generalized Mandelbrot Sets of a Family of Polynomials Pnz=zn+z+c;n≥2

International Journal of Mathematics and Mathematical Sciences, 2022
In this paper, we study the general Mandelbrot set of the family of polynomials Pnz=zn+z+c;n≥2, denoted by GM(Pn). We construct the general Mandelbrot set for these polynomials by the escaping method.
Salma M. Farris
doaj   +1 more source

A Multivariate Method for Dynamic System Analysis: Multivariate Detrended Fluctuation Analysis Using Generalized Variance

Topics in Cognitive Science, EarlyView., 2023
Abstract Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation ...
Sebastian Wallot, Julien Patrick Irmer, Monika Tschense, Nikita Kuznetsov, Andreas Højlund, Martin Dietz   +5 more
wiley   +1 more source