The period function and the Harmonic Balance Method

Johanna D. García-Saldaña, Armengol Gasull

Research output: Contribution to journalArticleResearchpeer-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 languageEnglish
Pages (from-to)33-60
JournalBulletin des Sciences Mathematiques
Volume139
Issue number1
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Fourier series
  • Hamiltonian potential system
  • Harmonic Balance Method
  • Period function

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