101 citations
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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.DS2008★ 1 cited
Monodromy and Tangential Center Problems
Colin Christopher, Pavao Mardešić
We consider families of Abelian integrals arising from perturbations of planar Hamiltonian systems. The tangential center focus problem asks for the conditions under which these in…