Chaotic Bouncing of a Droplet on a Soap Film

被引：53

作者：

Gilet, T. ^{[1
]}

Bush, John W. M. ^{[2
]}

机构：

[1] Univ Liege, Dept Phys B5A, GRASP, B-4000 Liege, Belgium

[2] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 102卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.102.014501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine the complex dynamics arising when a water droplet bounces on a horizontal soap film suspended on a vertically oscillating circular frame. A variety of simple and complex periodic bouncing states are observed, in addition to multiperiodicity and period-doubling transitions to chaos. The system is simply and accurately modeled by a single ordinary differential equation, the numerical solution of which captures all the essential features of the observed behavior. Iterative maps and bifurcation diagrams indicate that the system exhibits all the features of a classic low-dimensional chaotic oscillator.

引用

页数：4