Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters (Q2090397)

Limit cycle bifurcation problem plays an important role in qualitative theory of dynamical systems. Melnikov method is a useful tool for this purpose when studying limit cycles bifurcating from a family of periodic orbits of an unperturbed system. The authors consider limit cycle bifurcations of a piecewise near-Hamiltonian system and prove that the system has four limit cycles by \(M_0(h)\) and \(M_1(h)\).