26 citations · 128 across the 22 of their papers we have counts for
4 papers · 2 filters
Realization of analytic moduli for parabolic Dulac germs
Pavao Mardešić, Maja Resman
In a previous paper we have determined analytic invariants, that is, moduli of analytic classification, for parabolic generalized Dulac germs. This class contains parabolic Dulac (…
Analytic moduli for parabolic Dulac germs
Pavao Mardešić, Maja Resman
In this paper we give moduli of analytic classification for parabolic Dulac i.e. almost regular germs. Dulac germs appear as first return maps of hyperbolic polycycles. Their modul…
Infinite Orbit depth and length of Melnikov functions
Pavao Mardesic, Dmitry Novikov, Laura Ortiz-Bobadilla +1
In this paper we study polynomial Hamiltonian systems in the plane and their small perturbations: . The first nonzero Melnikov function of the Poin…
Godbillon-Vey sequence and Francoise algorithm
Pavao Mardesic, Dmitry Novikov, Laura Ortiz-Bobadilla +1
We consider foliations given by deformations of exact forms in in a neighborhood of a family of cycles . In 1996 Francoise gave a…