Mandelbrot-like sets in dynamical systems with no critical points

被引：24

作者：

Endler, A ^{[1
]}

Gallas, JAC ^{[1
]}

机构：

[1] Univ Fed Rio Grande Sul, Inst Fis, BR-91501970 Porto Alegre, RS, Brazil

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 09期

关键词：

D O I：

10.1016/j.crma.2006.02.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We report the discovery of an infinite quantity of Mandelbrot-like sets in the real parameter space of the Henon map, a bidi-mensional 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.

引用

页码：681 / 684

页数：4

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