D. Papini, F. Zanolin

Periodic Points and Chaotic-Like Dynamics of Planar Maps Associated to Nonlinear Hill's Equations with Indefinite Weight

We prove some results about the existence of fixed points, periodic points and chaotic-like dynamics for a class of planar maps which satisfy a suitable property of ``arc expansion'' type. We also outline some applications to the nonlinear Hill's equations with indefinite weight.