Sofroniou, A;
Bishop, S;
(2014)
Dynamics of a Parametrically Excited System with Two Forcing Terms.
Mathematics
, 2
(3)
pp. 172-195.
10.3390/math2030172.
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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.
| Type: | Article |
|---|---|
| Title: | Dynamics of a Parametrically Excited System with Two Forcing Terms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.3390/math2030172 |
| Publisher version: | http://dx.doi.org/10.3390/math2030172 |
| Language: | English |
| Additional information: | This is an open access article distributed under the Creative Commons Attribution License (CC BY) (http://creativecommons.org/licenses/by/3.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | parametric excitation; double forcing; quasiperiodicity; route to chaos |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1474736 |
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