Bounding the length of iterated integrals of the first nonzero Melnikov function

Pavao Mardesic, Dmitry Novikov, Laura Ortiz-Bobadilla +1

We consider small polynomial deformations of integrable systems of the form $dF=0$, $F\in \mathbb{C}[x,y]$ and the first nonzero term $M_{\mu }$ of the displacement function $Δ(t,ε)=\sum…