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Global attraction to the origin in a parametrically driven nonlinear oscillator

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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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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Bartuccelli, Michele
Deane, Jonathan H.
Gourley, Stephen
Date : 25 June 2004
Identification Number : /10.1016/S0096-3003(03)00317-5
Uncontrolled Keywords : Global attractivity, Parametric forcing, Asymptotics
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.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:40
Last Modified : 23 Sep 2013 18:33

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