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.
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||25 June 2004|
|Identification Number :||https://doi.org/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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