Dynamics of a Parametrically Excited System with Two Forcing Terms

Mathematics

Anastasia Sofroniou¹ 

[1] School of Computing and Technology, University of West London, St Mary’s Road, Ealing, W5 5RF, London, UK

关键词: parametric excitation;    double forcing;    quasiperiodicity;    route to chaos;   

DOI  :  10.3390/math2030172

来源: mdpi

【 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.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland.