Bifurcations and chaos for the quasiperiodic bouncing ball

被引：15

作者：

deOliveira, CR

Goncalves, PS

机构：

[1] UFSCar Departamento de Matemática, SP, 13560-970

来源：

PHYSICAL REVIEW E | 1997年 / 56卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.56.4868

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We investigate the influence of a second frequency on the classical periodic bouncing-ball problem, and call it the quasiperiodic bouncing ball. We indicate how to compute the Lyapunov exponent for implicit maps and confirm the presence of chaos for the periodic bouncing ball. We have numerically found a series of nontrivial bifurcations for the quasiperiodic bouncing ball. We have also found several cases of nonperiodic attractors with negative Lyapunov exponents.

引用

页码：4868 / 4871

页数：4

共 21 条

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