Showing papers on "External ray published in 1987"
TL;DR: In this article, the universal map for the period-doubling transition to chaos is studied numerically in the complex plane and the boundary of the domain of analyticity of this function is obtained graphically and is shown to be a fractal with self-similar properties obtained by rescaling with the universal constantsα andδ.
Abstract: The universal map for the period-doubling transition to chaos is studied numerically in the complex plane. The boundary of the domain of analyticity of this function is obtained graphically and is shown to be a fractal with self-similar properties obtained by rescaling with the universal constantsα andδ. In the complex parameter plane, this domain is shown asymptotically to be similar to part of the Mandelbrot set.
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