Results 21 to 30 of about 6,088,715 (228)
Fixed point results of an implicit iterative scheme for fractal generations
AIMS Mathematics, 2021 In this paper, we derive the escape criteria for general complex polynomial $ f(x) = \sum_{i = 0}^{p}a_{i}x^{i} $ with $ p\geq2 $, where $ a_{i} \in \mathbb{C} $ for $ i = 0, 1, 2, \dots, p $ to generate the fractals.
Haixia Zhang +4 more
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Topics in Cognitive Science, EarlyView., 2023 Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich +1 more
wiley +1 more source
Assessing Virtual Anthropometric Measurements and Quantifying Their Relationship to Osteometric Measurements Using Computed Tomography Scans From an Online Database. [PDF]
Am J Biol AnthropolABSTRACT Objectives Anthropometrics are a powerful tool for understanding bodily diversity. Using computed tomography (CT) scans from the New Mexico Decedent Image Database, we assess sources of methodological error that may complicate virtual anthropometric methods and quantify the comparability of anthropometric and osteometric measures.
Wiley AN, Lama C, Cameron ME.
europepmc +2 more sources
Computational Geometry of Period-3 Hyperbolic Components in the Mandelbrot Set
Mathematics, 2021 A parametric theoretical boundary equation of a period-3 hyperbolic component in the Mandelbrot set is established from a perspective of Euclidean plane geometry.
Young-Hee Geum, Young-Ik Kim
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Quadratic dynamics over hyperbolic numbers: a brief survey [PDF]
Surveys in Mathematics and its Applications, 2022 Hyperbolic numbers, also called split complex or perplex numbers in the literature, are a variation of complex numbers established as a theory primarily by W. Clifford in the nineteenth century who applied them to mechanics.
Sandra Hayes
doaj
Exploring parameter spaces in complex dynamics
Selecciones Matemáticas, 2023 We show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the ...
Pedro Iván Suárez Navarro
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Local Connectivity of the Mandelbrot Set at Some Satellite Parameters of Bounded Type [PDF]
Geometric and Functional Analysis, 2018 We explore geometric properties of the Mandelbrot set M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Dzmitry Dudko, M. Lyubich
semanticscholar +1 more source
Fractals via Generalized Jungck–S Iterative Scheme
Discrete Dynamics in Nature and Society, 2021 The purpose of this research is to introduce a Jungck–S iterative method with m,h1,h2–convexity and hence unify different comparable iterative schemes existing in the literature.
Zhihua Chen +3 more
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Development of mandelbrot set for the logistic map with two parameters in the complex plane
Eastern-European Journal of Enterprise Technologies, 2021 In this paper, the study of the dynamical behavior of logistic map has been disused with representing fractals graphics of map, the logistic map depends on two parameters and works in the complex plane, the map defined by f(z,α,β)=αz(1–z)β.
W. S. Ahmed +3 more
semanticscholar +1 more source
A Four Step Feedback Iteration and Its Applications in Fractals
Fractal and Fractional, 2022 Fractals play a vital role in modeling the natural environment. The present aim is to investigate the escape criterion to generate specific fractals such as Julia sets, Mandelbrot sets and Multi-corns via F-iteration using complex functions h(z)=zn+c, h ...
Asifa Tassaddiq +4 more
doaj +1 more source