Electronic Journal of Qualitative Theory of Differential Equations (Nov 2017)
Study of limit cycles in piecewise smooth perturbations of Hamiltonian centers via regularization method
Abstract
In this article we study the existence and positions of limit cycles in piecewise smooth perturbations of planar Hamiltonian centers. By using the regularization method we provide an analytical expression for the first order Melnikov function frequently used in the literature directly from the original non-smooth problem.
Keywords