3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DS2008★ 3 cited
The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point
Colin Christopher, Christiane Rousseau
In this paper we describe the moduli space of germs of generic families of analytic diffeomorphisms which unfold a parabolic fixed point of codimension 1. In [MRR] (and also [R]),…
math.CA2007
The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation
Caroline Lambert, Christiane Rousseau
In this paper we study the confluence of two regular singular points of the hypergeometric equation into an irregular one. We study the consequence of the divergence of solutions a…
math.DS2007
Analytical moduli for unfoldings of saddle-node vector fields
Christiane Rousseau, Loïc Teyssier
In this paper we consider germs of k-parameter generic families of analytic 2-dimensional vector fields unfolding a saddle-node of codimension k and we give a complete modulus of a…