On the Topology of Isochronous Centers of Hamiltonian Differential Systems
On the Topology of Isochronous Centers of Hamiltonian Differential Systems
In this paper, we study the topology of isochronous centers of Hamiltonian differential systems with polynomial Hamiltonian functions [Formula: see text] such that the isochronous center lies on the level curve [Formula: see text]. We prove that, in the one-dimensional homology group of the Riemann surface (removing the points at …