This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits. By using the first-order Melnikov function of the piecewise near-Hamiltonian system, we investigate the maximal number of limit cycles that bifurcate from a global center up to first order of .
"Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System." Abstr. Appl. Anal. 2013 (SI21) 1 - 19, 2013. https://doi.org/10.1155/2013/575390