Synchronous rotations in parametrically excited pendula

被引：1

作者：

Bhattacharjee, Shayak ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Phys, Kanpur 208016, Uttar Pradesh, India

来源：

CHAOS | 2014年 / 24卷 / 03期

关键词：

SYNCHRONIZATION;

D O I：

10.1063/1.4890468

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we provide an analytic justification for the existence of a synchronously rotating state in a Kapitsa pendulum, i.e., a pendulum where the base is subjected to vibration. Qualitative arguments as well as mathematical calculations are presented to demonstrate the existence of this state. An approximate recipe for determining the basin of attraction is also given. This theory is used to explain the motion of a popular but intriguing toy called devil's stick. (C) 2014 AIP Publishing LLC.

引用

页数：8

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