On the study of the first order Melnikov function near homoclinic and heteroclinic loops [ Back ]

Date:
11.05.15   
Times:
16:20 to 17:05
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Maoan Han
University:
Shanghai Normal University

Abstract

In this talk, we introduce some advances on the expansion of the first order Melnikov function appearing by perturbing a Hamiltonian or integrable system with a homoclinic or heteroclinic loop. We obtain formulas for computing the first coefficients of the expansion which can be used to find a lower bound for the maximal number of limit cycles near the loop based on these coefficients.