Transition points in octonionic Julia sets

DOI10.1016/0960-0779(93)90041-XzbMath0772.58035OpenAlexW2042512474WikidataQ121990469 ScholiaQ121990469MaRDI QIDQ1803825

C. J. Griffin, G. C. Joshi

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0960-0779(93)90041-x

zbMATH Keywords

fixed pointslimit cycleconstrainttransition pointsquadratic mapcomplex mapcutoff dependenceoctonionic Julia sets

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Octonionic Julia sets
• Iteration of analytic functions
• Simple mathematical models with very complicated dynamics
• Unnamed Item
• Unnamed Item

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