Global attraction to the origin in a parametrically driven nonlinear oscillator
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Bartuccelli, Michele V., Deane, Jonathan H. B., Gentile, G. and Gourley, Stephen A. (2004) Global attraction to the origin in a parametrically driven nonlinear oscillator Applied Mathematics and Computation, 153 . pp. 1-11.
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Abstract
We consider a parametrically-driven nonlinear ODE, which encompasses a simple model of an electronic circuit known as a parametric amplifier, whose linearisation has a zero eigenvalue. By adopting two different approaches we obtain conditions for the origin to be a global attractor which is approached (a) non-monotonically and (b) monotonically. In case (b), we obtain an asymptotic expression for the convergence to the origin. Some further numerical results are reported.
| Item Type: | Article |
|---|---|
| Additional Information: | This is a pre-copy-editing, author-prepared, peer-reviewed PDF of an article published in Applied Mathematics and Computation, 153, 1-11. © 2004 Elsevier Inc. All rights reserved. |
| Uncontrolled Keywords: | Global attractivity, Parametric forcing, Asymptotics |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1430 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:40 |
| Last Modified: | 28 Sep 2012 10:50 |
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