Mandelbrot-like sets in dynamical systems with no critical points

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• 作者：Antô ; nio Endler and Jason A.C. Gallas
• 刊名：Comptes Rendus Mathematique
• 出版年：2006
• 出版时间：1 May 2006
• 年：2006
• 卷：342
• 期：9
• 页码：681-684
• 全文大小：271 K

文摘

We report the discovery of an infinite quantity of Mandelbrot-like sets in the real parameter space of the Hénon map, a bidimensional diffeomorphism not obeying the Cauchy–Riemann conditions and having no critical points. For practical applications, this result shows to be possible to stabilize infinitely many complex phases by tuning real parameters only. To cite this article: A. Endler, J.A.C. Gallas, C. R. Acad. Sci. Paris, Ser. I 342 (2006).