Connecting orbits for a class of singular time-periodic second-order Hamiltonian systems
We show the existence of connecting orbits for a class of singular second-order Hamiltonian systems where, as opposed to most of the existing literature, we assume that the potential V has not one but any finite number of maxima of equal value. We use variational methods under the assumption that V (t, u) satisfies the so-called 'strong-force' condition at the singularity. © 2016 Royal Society of Edinburgh.
concentration compactness; Heteroclinic solutions; homoclinic; Lusternik-Schnirelmann category; Singular Hamiltonian system; strong-force condition
Connecting orbits for a class of singular time-periodic second-order Hamiltonian systems.
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 146(6),