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math.DS2020
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…
math.DS2020
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…
math.DS2020
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…