Studies of the Petrov Module for a Family of Generalized Liénard Integrable Systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Qualitative Theory of Dynamical Systems Year : 2017

Studies of the Petrov Module for a Family of Generalized Liénard Integrable Systems

Abstract

In this article we use the Lambert function in order to study a family of integrable generalized Liénard equations Xf which display a center. We first prove a conjugation lemma inside a continuum of nested periodic orbits. Then we deduce an explicit operator of Gelfand–Leray associated with the Hamiltonian of equation Xf. Afterwards, we provide a generating family for the associated Petrov module. Finally, by using the Lambert function, we study the monotonicity of the Abelian integral of this generating family’s elements.
Fichier principal
Vignette du fichier
ManuscriptMegret.pdf (242.05 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01571808 , version 1 (30-09-2017)

Identifiers

Cite

Lucile Mégret. Studies of the Petrov Module for a Family of Generalized Liénard Integrable Systems. Qualitative Theory of Dynamical Systems, 2017, 20 (2), pp.1-21. ⟨10.1007/s12346-017-0250-3⟩. ⟨hal-01571808⟩
279 View
188 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More