Bounding the length of iterated integrals of Melnikov functions [ Back ]

Date:
10.07.17   
Times:
15:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Pavao Mardesic
University:
Université de Bourgogne

Abstract

We present the results of a joint work with D. Novikov, L. Ortiz-Bobadilla and J. Pontigo-Herrera.

In the work, we give a geometric bound for the length of the iterated integrals representing the first non-zero Melnikov functions of deformations of hamiltonian systems $dF+\epsilon\omega=0$. The bound depends only on the hamiltonian system $dF=0$ and not on the deformation $\omega$.