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math.DS2026
Curves of tangencies of foliation pairs and normalizing transformations
Jessica Angélica Jaurez-Rosas, Laura Ortiz-Bobadilla, Sergei Voronin
In this work we give a complete description of the collection of curves of tangencies induced by germs of foliation pairs -- non dicritical and dicritical -- given by analytic diff…
math.DS2019
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…
math.DS2019
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…