A novel approach to generate Mandelbrot sets, Julia sets and biomorphs via viscosity approximation method

DOI10.1016/j.chaos.2022.112540OpenAlexW4292096794WikidataQ114199006 ScholiaQ114199006MaRDI QIDQ2111270

Ashish Nandal, Mihai Postolache, Sudesh Kumari, Renu Chugh, Krzysztof Gdawiec

Publication date: 13 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112540

zbMATH Keywords

Julia setMandelbrot setviscosity approximation methodescape criterionbiomorph

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Fixed-point iterations (47J26)

Related Items (2)

On the Mandelbrot set of \(z^p +\log c^t\) via the Mann and Picard-Mann iterations ⋮ On the viscosity approximation type iterative method and its non-linear behaviour in the generation of Mandelbrot and Julia sets

Uses Software

• CUDA

Cites Work

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