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On a class of integrable time-dependent dynamical systems

Bartuccelli, M. V. and Gentile, G. (2002) On a class of integrable time-dependent dynamical systems Physics Letters A, 307. pp. 274-280.


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We present some integrable time-dependent systems of classical dynamics, and we apply the results to the equation x.. + f(t)x = 0, with f a positive nondecreasing differentiable function; some of the results are extended to the nonlinear case. Moreover we investigate the conditions for the solutions to be bounded and we study their asymptotic behaviour.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Bartuccelli, M.
Date : 3 December 2002
Uncontrolled Keywords : Integrable systems, Time-dependent potentials, Boundedness of solutions
Additional Information : This is a pre-press version of an article published in Physics Letters A, 307, 274-280. Copyright © 2002 Elsevier Science B.V. All rights reserved. Click here to access the publisher's version.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:42
Last Modified : 23 Sep 2013 18:33

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