Subharmonic bifurcations and chaotic dynamics of an air damping completely inelastic bouncing ball

被引：4

作者：

Han, Hong ^{[1
]}

Jiang, Zehui ^{[1
]}

Zhang, Rui ^{[1
]}

Lyu, Jing ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL B | 2013年 / 86卷 / 12期

基金：

中国国家自然科学基金;

关键词：

GRANULAR LAYER; VIBRATIONS; ATTRACTORS; BEHAVIOR;

D O I：

10.1140/epjb/e2013-40675-0

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We investigate the dynamics of a plastic ball on a vibrated platform in air by introducing air damping effect into the completely inelastic bouncing ball model. The air damping gives rise to larger saddle-node bifurcation points and a chaos confirmed by the largest Lyapunov exponent of a one-dimensional discrete mapping. The calculated bifurcation point distribution shows that the periodic motion of the ball is suppressed and a chaos emerges earlier for an increasing air damping. When the reset mechanism and the linear stability which cause periodic motion of the ball both collapse, the investigated system is fully chaotic.

引用

页数：7

共 23 条

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