Home > Articles > Published articles > The period function and the harmonic balance method |
Date: | 2015 |
Abstract: | In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, like their local behavior near the critical point or infinity, or their global monotonicity. Secondly, we show that these properties are also present when we approach to the same questions using the Harmonic Balance Method. |
Grants: | Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-41 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Harmonic balance method ; Period function ; Hamiltonian potential system ; Fourier series |
Published in: | Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 33-60, ISSN 0007-4497 |
Postprint 23 p, 443.5 KB |