The period function and the Harmonic Balance Method

Johanna D. García-Saldaña; Armengol Gasull

doi:https://doi.org/10.1016/j.bulsci.2014.08.002

The period function and the Harmonic Balance Method

Johanna D. García-Saldaña, Armengol Gasull

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

© 2014 Elsevier Masson SAS. 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.

Original language	English
Pages (from-to)	33-60
Journal	Bulletin des Sciences Mathematiques
Volume	139
Issue number	1
DOIs	https://doi.org/10.1016/j.bulsci.2014.08.002
Publication status	Published - 1 Jan 2015

Keywords

Fourier series
Hamiltonian potential system
Harmonic Balance Method
Period function

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title = "The period function and the Harmonic Balance Method",

abstract = "{\textcopyright} 2014 Elsevier Masson SAS. 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.",

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AU - Gasull, Armengol

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AB - © 2014 Elsevier Masson SAS. 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.

KW - Fourier series

KW - Hamiltonian potential system

KW - Harmonic Balance Method

KW - Period function

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DO - https://doi.org/10.1016/j.bulsci.2014.08.002

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