Phase locking and rotational motion of a parametric pendulum in noisy and chaotic conditions

被引：20

作者：

Litak, Grzegorz ^{[1
,2
]}

Borowiec, Marek ^{[1
]}

Wiercigroch, Marian ^{[3
]}

机构：

[1] Tech Univ Lublin, Dept Appl Mech, PL-20618 Lublin, Poland

[2] Tech Univ Chemnitz, Inst Phys, D-09111 Chemnitz, Germany

[3] Univ Aberdeen, Kings Coll, Sch Engn, Ctr Appl Dynam Res, Aberdeen, Scotland

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2008年 / 23卷 / 03期

关键词：

chaotic vibration; parametric pendulum; rotational mode; noise;

D O I：

10.1080/14689360802010428

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The effect of noise on the rotational mode of a pendulum which is excited kinematically in vertical direction has been analysed. We have shown that for weak noise, transitions from the oscillations to rotations and vice versa are possible. For stronger noise, the rotational solution as an independent synchronized mode vanishes. When searching for the rotational motion we observed an intermittent transition to chaos induced by noise.

引用

页码：259 / 265

页数：7

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