Web of Science: 2 citations, Scopus: 3 citations, Google Scholar: citations
The period function and the harmonic balance method
García Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Gasull i Embid, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

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.
Note: Número d'acord de subvenció MICINN/MTM2008-03437
Note: Número d'acord de subvenció 2009SGR-41
Rights: Tots els drets reservats.
Language: Anglès.
Document: article ; recerca ; submittedVersion
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

DOI: 10.1016/j.bulsci.2014.08.002

23 p, 443.5 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2016-01-12, last modified 2019-02-28

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