Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities

Abstract

In this paper we prove the non-isochronicity of $\Sigma$-centers for a class of planar piecewise smooth differential systems with a straight switching line, whose two sub-systems are Hamiltonian differential systems with a non-degenerated center and only homogeneous nonlinearities.

12 pages. In this version we correct some errors and typos