A Linear Estimate of the Number of Limit Cycles for A Piecewise Smooth Near-Hamiltonian System
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00398-x
Abstract: In this paper, we study Poincaré bifurcation of limit cycles from a piecewise linear Hamiltonian system with a center at the origin and a homoclinic loop round the origin. By using the Melnikov function method,… read more here.
Keywords: limit cycles; limit; cycles piecewise; number limit ... See more keywords
Study of limit cycles in piecewise smooth perturbations of Hamiltonian centers via regularization method
Sign Up to like & getrecommendations! Published in 2017 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2017.1.79
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… read more here.
Keywords: hamiltonian centers; limit cycles; regularization method; piecewise smooth ... See more keywords