Newton maps: Fractals from Newton's method for the circle map

被引：0
|
作者：
Cartwright, Julyan H.E. [1 ]
机构：
[1] Inst. Andaluz de Cie. de la Tierra, CSIC-Universidad de Granada, E-18071, Granada, Spain
来源：
Computers and Graphics (Pergamon) | 1999年 / 23卷 / 04期
关键词：
Fractals;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
To understand why two interacting oscillators synchronize with each other, or lock together and resonate at some rational frequency ratio, dynamical-systems theory shows that one should study circle maps and their periodic orbits. One can easily explore the structure of these periodic orbits using Newton maps, derived from Newton's method for finding the roots of an equation. I present here some interesting and beautiful examples of fractals encountered in Newton maps while investigating the periodic orbits of circle maps.
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页码：607 / 612
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