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.
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|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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