The local cyclicity problem: Melnikov method using Lyapunov constants 

Gouveia, L.F.S.; Torregrosa, J. (2022-04-19)

In 1991, Chicone and Jacobs showed the equivalence between the computation of the firstorder Taylor developments of the Lyapunov constants and the developments of the first Melnikov function near a non-degenerate monodromic ...