4 citations · 9 across the 16 of their papers we have counts for
19 papers
Generic unfolding of an antiholomorphic parabolic point of codimension
Christiane Rousseau
We classify generic unfoldings of germs of antiholomorphic diffeomorphisms with a parabolic point of codimension~ (i.e.~a fixed point of multiplicity ) under conjugacy. Suc…
Analytic Classification of Generic Unfoldings of Antiholomorphic Parabolic Fixed Points of Codimension 1
Jonathan Godin, Christiane Rousseau
We classify generic unfoldings of germs of antiholomorphic diffeomorphisms with a parabolic point of codimension 1 (i.e. a double fixed point) under conjugacy. These generic unfold…
The equivalence problem in analytic dynamics for -resonance
Christiane Rousseau
When are two germs of analytic systems conjugate or orbitally equivalent under an analytic change of coordinates in the neighborhood of a singular point? A way to answer is to use…
On the universal unfolding of vector fields in one variable: A proof of Kostov's theorem
Martin Klimes, Christiane Rousseau
In this note we present variants of Kostov's theorem on a versal deformation of a parabolic point of a complex analytic -dimensional vector field. First we provide a self-contai…
Analytic Classification of Germs of Parabolic Antoholomorphic Diffeomorphisms of Codimension k
Jonathan Godin, Christiane Rousseau
We investigate the local dynamics of antiholomorphic diffeomorphisms around a parabolic fixed point. We first give a normal form. Then we give a complete classification including a…
Remarks on rational vector fields on
Martin Klimeš, Christiane Rousseau
In this paper we introduce geometric tools to study the families of rational vector fields of a given degree over . To a generic vector field of such a parame…