4 papers
math-ph2005
The Exact Renormalization Group
P. K. Mitter
This is a very brief introduction to Wilson's Renormalization Group with emphasis on mathematical developments.
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
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…
math-ph1999
Algebraically Linearizable Dynamical Systems
R. Caseiro, J. -P. Francoise
The main result of this paper is the evidence of an explicit linearization of dynamical systems of Ruijsenaars-Schneider type and of the perturbations introduced by F. Calogero of…