Imaginary scators quadratic mapping in 1+2D dynamic space

DOI10.1016/J.CNSNS.2023.107364zbMath1526.37053MaRDI QIDQ6177779

Manuel Fernández-Guasti

Publication date: 31 August 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

Julia setdiscrete dynamical systemsquadratic iterationhyper-complex numbersimaginary scators

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• Unnamed Item
• Generalization of 3D Mandelbrot and Julia sets
• Generalization of the Mandelbrot set: quaternionic quadratic maps
• An elliptic non distributive algebra
• Imaginary Scators Bound Set Under the Iterated Quadratic Mapping in 1 + 2 Dimensional Parameter Space
• ITERATION OF QUATERNION MAPS
• Differential quotients in elliptic scator algebra

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