Dynamics of a Parametrically Excited System with Two Forcing Terms

被引：18

作者：

Sofroniou, Anastasia ^{[1
]}

Bishop, Steven ^{[2
]}

机构：

[1] Univ West London, Sch Comp & Technol, St Marys Rd, London W5 5RF, England

[2] UCL, Dept Math, London WC1E 6BT, England

来源：

MATHEMATICS | 2014年 / 2卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

parametric excitation; double forcing; quasiperiodicity; route to chaos;

D O I：

10.3390/math2030172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the dynamics of a trimaran, an investigation of the dynamic behaviour of a double forcing parametrically excited system is carried out. Initially, we provide an outline of the stability regions, both numerically and analytically, for the undamped linear, extended version of the Mathieu equation. This paper then examines the anticipated form of response of our proposed nonlinear damped double forcing system, where periodic and quasiperiodic routes to chaos are graphically demonstrated and compared with the case of the single vertically-driven pendulum.

引用

页码：172 / 195

页数：24

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