On a class of integrable time-dependent dynamical systems
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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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Abstract
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 |
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| 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. |
| Uncontrolled Keywords: | Integrable systems, Time-dependent potentials, Boundedness of solutions |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1535 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:42 |
| Last Modified: | 28 Sep 2012 10:50 |
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