38 citations · 123 across the 18 of their papers we have counts for
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math.DS2001
Analytic properties of the return mapping of Lienard Equations
Jean-Pierre Francoise
An effective version of Bautin's theory with explicit estimates on the size of the neighborhood on which the number of limit cycles is controlled is given here for the case of Lien…
math.DS2001★ 3 cited
On the bifurcation of periodic orbits
Jean-Pierre Francoise
This article is a survey on recent contributions to an effective version of Bautin's theory about the bifurcation of periodic orbits (limit cycles). The analysis of Hopf bifurcatio…
hep-th2001★ 17 cited
Quadratic Algebra associated with Rational Calogero-Moser Models
R. Caseiro, J. -P. Francoise, R. Sasaki
Classical Calogero-Moser models with rational potential are known to be superintegrable. That is, on top of the r involutive conserved quantities necessary for the integrability of…