Oscillatory orbits of the parametrically excited pendulum

被引：7

作者：

Garira, W ^{[1
]}

Bishop, SR ^{[1
]}

机构：

[1] UCL, Ctr Nonlinear Dynam & Its Applicat, London WC1E 6BT, England

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 10期

关键词：

pendulum; nonlinear oscillations; parametric excitation;

D O I：

10.1142/S0218127403008351

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider oscillatory, nonrotating periodic solutions of the parametrically excited pendulum. We determine the zones in the parameter space in which different types of oscillatory solutions are realized. In particular we determine the zones in which the T-periodic and 2T-periodic harmonic and subharmonic oscillatory solutions are the dominant type of stable solutions. The symmetry properties of these solutions and the associated scenarios of transition to tumbling chaos are also discussed.

引用

页码：2949 / 2958

页数：10

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