Groebner basis, resultants and the generalized Mandelbrot set

DOI10.1016/j.chaos.2009.02.039zbMath1198.37077OpenAlexW2085121236MaRDI QIDQ603659

Kevin G. Hare, Young Hee Geum

Publication date: 8 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.02.039

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (1)

Julia sets and Mandelbrot sets in Noor orbit

Cites Work

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• Locating and counting bifurcation points of satellite components from the main component in the degree-\(n\) bifurcation set
• Equivalence between subshrubs and chaotic bands in the Mandelbrot set
• Generalization of the Mandelbrot set: quaternionic quadratic maps
• Complex dynamics
• Determination of Mandelbrot set's hyperbolic component centres
• Midgets of superior Mandelbrot set
• An efficient construction of period-2 bulbs in the cubic Mandelbrot set with parametric boundaries
• A Parameterization of the Period 3 Hyperbolic Components of the Mandelbrot Set
• Number fields

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