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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.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…