Generalized Mandelbrot sets of a family of polynomials \(P_n(z)= z^n+z+c\); \((n \geq 2)\)

DOI10.1155/2022/4510088zbMath1497.37052OpenAlexW4213375081MaRDI QIDQ2674230

Salma M. Farris

Publication date: 22 September 2022

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/4510088

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Cites Work

• Fixed point results in the generation of Julia and Mandelbrot sets
• Julia sets and Mandelbrot sets in Noor orbit
• Physical meaning for Mandelbrot and Julia sets
• Additive perturbed generalized Mandelbrot-Julia sets
• Research on fractal structure of generalized M--J sets utilized Lyapunov exponents and periodic scanning techniques
• Fractaln-gons and their Mandelbrot sets
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