We look for periodic solutions of planar systems obtained by adding an asymptotically positively homogeneous nonlinear term to an isochronous hamiltonian system. Precise computations of the topological degree are obtained by elementary phase-plane analysis. (c) 2005 Elsevier Inc. All rights reserved.
Fabry, C., & Fonda, A. (2005). Periodic solutions of perturbed isochronous hamiltonian systems at resonance. Journal of Differential Equations, 214(2), 299-325. https://doi.org/10.1016/j.jde.2005.02.003 (Original work published 2005)