Monodromy and Dulac's Problem for Piecewise analytical planar vector fields

Claudio Buzzi, João Carlos Medrado, Claudio Pessoa

Consider an analytical function $f:V\subset {\mathbb{R}}^2\to \mathbb{R}$ having $0$ as its regular value, a switching manifold $\Sigma =f^{-1}(0)$ and a piecewise analytical vector fi…