A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method
type: Item
instance of: scholarly article
title: A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method
author: Sudesh Kumari
author: Ashish Nandal
author: Mihai Postolache
author: Renu Chugh
author: Krzysztof Gdawiec
published in: Chaos, Solitons and Fractals
publication date: 2023-01-13T00:00:00Z
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37F10
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 7642279
zbMATH Keywords: viscosity approximation method
zbMATH Keywords: escape criterion
zbMATH Keywords: Julia set
zbMATH Keywords: Mandelbrot set
zbMATH Keywords: biomorph
describes a project that uses: CUDA
MaRDI profile type: Publication
Wikidata QID: Q114199006
full work available at URL: j.chaos.2022.112540
OpenAlex ID: W4292096794
cites work: Q4740120
cites work: Q4529586
cites work: The generalized M-J sets for bicomplex numbers
cites work: A study of dynamics of the tricomplex polynomial \(\eta ^p+c\)
cites work: Large-scale interactive numerical experiments of chaos, solitons and fractals in real time via GPU in a web browser
cites work: Biomorphs via modified iterations
cites work: Pickover biomorphs and non-standard complex numbers
cites work: Q4040874
cites work: A First Course in Chaotic Dynamical Systems
cites work: On the construction, properties and Hausdorff dimension of random Cantor one \(p^{th}\) set
cites work: On the convergence of fixed point iterations for the moving geometry in a fluid-structure interaction problem
cites work: Newton-like methods and polynomiographic visualization of modified Thakur processes
cites work: Mean Value Methods in Iteration
cites work: Strong convergence theorems for resolvents of accretive operators in Banach spaces
cites work: An example concerning fixed points
cites work: Fixed points of nonexpanding maps
cites work: Viscosity approximation methods for fixed-points problems
cites work: Q4988082
cites work: Q5038652
cites work: Q5134112
cites work: Iteration process for fixed point problems and zeros of maximal monotone operators
cites work: The Picard-Mann iteration with \(s\)-convexity in the generation of Mandelbrot and Julia sets
cites work: Julia sets and Mandelbrot sets in Noor orbit
cites work: General escape criteria for the generation of fractals in extended Jungck-Noor orbit
DOI: 10.1016/J.CHAOS.2022.112540
description: scientific article; zbMATH DE number 7642279