Orbital analytic classification of germs of families unfolding a codimension 1 resonant saddle or saddle-node
Speaker:
Christiane Rousseau, University of Montreal and Université de Montréal
Date and Time:
Tuesday, June 23, 2009 - 3:30pm to 4:30pm
Location:
Fields Institute, Room 230
Abstract:
We consider the equivalence problem for germs of 1-parameter analytic families of planar vectors fields unfolding a resonant saddle or a saddle-node. We will describe a complete modulus under orbital equivalence. Moreover, we will give sufficient conditions for a “candidate modulus” to be indeed realizable as the modulus of a germ of family. We will characterize the moduli corresponding to families of real vector fields.