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On the study of the first order Melnikov function near homoclinic and heteroclinic loops
韩茂安教授(上海师范大学)
2018-01-01 12:13  华东师范大学

摘要: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.

主持人:刘兴波