NOVEL TEMPORAL BEHAVIOR OF A NONLINEAR DYNAMIC SYSTEM - THE COMPLETELY INELASTIC BOUNCING BALL

被引：134

作者：

MEHTA, A ^{[1
]}

LUCK, JM ^{[1
]}

机构：

[1] CENS, CEA, LAB INST RECH FONDAMENTALE, SERV PHYS THEOR, F-91191 GIF SUR YVETTE, FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.65.393

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a ball under the influence of gravity on a vibrating platform where the ball-platform collisions are completely inelastic. We present for the first time several remarkable features in the temporal behavior of the system; its phase space is divided into transmitting and absorbing regions, which are responsible for the abrupt termination of a period-doubling sequence and the onset of a locking regime, in which an appropriately defined winding number has intriguing scaling properties. © 1990 The American Physical Society.

引用

页码：393 / 396

页数：4

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