Family of Invariant cantor sets as orbits of differential equations. II: Julia sets

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Title:	Family of Invariant cantor sets as orbits of differential equations. II: Julia sets
Authors:	李華倫 Li, Hua-lun
Contributors:	應用統計學系 Applied Statistics
Keywords:	Julia set;Mandelbrot set;external ray;anti-integrable limit
Date:	2011
Issue Date:	2014-06-27 10:57:03 (UTC+8)
Abstract:	The Julia set of the quadratic map fμ(z) = μz(1 - z) for μ not belonging to the Mandelbrot set is hyperbolic, thus varies continuously. It follows that a continuous curve in the exterior of the Mandelbrot set induces a continuous family of Julia sets. The
Appears in Collections:	[Department of Applied Statistics] Journal Articles

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