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11.

23 p, 443.5 KB

The period function and the harmonic balance method / García-Saldaña, Johanna Denise (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
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. [...]
2015 - DOI (Digital Object Identifier)

10.1016/j.bulsci.2014.08.002
Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 33-60

Detailed record -

12.

170 p, 1.8 MB

A qualitative and quantitative study of some planar differential equations / García-Saldaña, Johanna Denise ; Gasull, Armengol, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
La tesis consta de cinco capítulos y está dividida en dos partes muy diferenciadas. La primera dedicada tanto al uso del llamado Método del Balance Armónico (MBA) como a su fundamentación teórica. [...]
The thesis consists of five chapters and is divided into two parts. The first one is devoted to the use of the so-called Harmonic Balance Method (HBM) as well as its theoretical basis. The second one deals with the quantitative and qualitative study of two families of polynomial differential equations in the plane. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2014

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13.