Dynamics of a Parametrically Excited System with Two Forcing Terms

Anastasia Sofroniou and Steven Bishop
Additional contact information
Anastasia Sofroniou: School of Computing and Technology, University of West London, St Mary's Road, Ealing, W5 5RF, London, UK
Steven Bishop: Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, UK

Mathematics, 2014, vol. 2, issue 3, 1-24

Abstract: 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.

Keywords: parametric excitation; double forcing; quasiperiodicity; route to chaos (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/2/3/172/pdf (application/pdf)
https://www.mdpi.com/2227-7390/2/3/172/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:2:y:2014:i:3:p:172-195:d:40481

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().