BIFURCATION IN SINGULAR NEEDLE GROWTH

被引：6

作者：

KURTZE, DA

机构：

[1] Department of Physics, SU Station, North Dakota State University, Fargo

来源：

PHYSICAL REVIEW A | 1991年 / 43卷 / 12期

关键词：

D O I：

10.1103/PhysRevA.43.7066

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In their numerical investigation of the two-dimensional growth of a pair of needlelike viscous fingers, Peterson and Ferry [Phys. Rev. A 39, 2740 (1989)] discovered that when the angle between the two needles is less than 0.920 154 rad, then a "shadowing" transition occurs, with one needle growing longer than the other. I show that this is a standard pitchfork bifurcation, with the critical angle being exactly (1 - square-root 2/2)-pi.

引用

页码：7066 / 7067

页数：2