An Intrinsically Three-Dimensional Fractal

DOI10.1142/S0218127414300171zbMath1296.37035OpenAlexW2134925276MaRDI QIDQ3191231

Manuel Fernández-Guasti

Publication date: 1 October 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414300171

zbMATH Keywords

discrete dynamical systemsMandelbrot setquadratic iterationhyper-complex numbers3D bifurcations3D hyperbolic numbersreal scators

Mathematics Subject Classification ID

Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Attractors of solutions to ordinary differential equations (34D45) General nonassociative rings (17A99)

Related Items (1)

Imaginary Scators Bound Set Under the Iterated Quadratic Mapping in 1 + 2 Dimensional Parameter Space

Cites Work

• Unnamed Item
• Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13--18, 2007
• Dynamics of quadratic functions in cycle planes
• A hyperbolic non distributive algebra in \(1+2\) dimensions
• The ‘‘mystery’’ of the quadratic Mandelbrot set
• Complex analytic dynamics on the Riemann sphere

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