The period function and the harmonic balance method

2013/10/04 by Johanna D. García-Saldaña, Armengol Gasull, García-Saldaña, Johanna D. +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1310.1215

23 pages, 2 figures

arxiv created 2013/10/04 · arxiv updated 2013/10/07

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.

Related

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• A theoretical basis for the Harmonic Balance Method
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