Connecting orbits for a class of singular time-periodic second-order Hamiltonian systems

Document Type

Article

Publication Date

1-1-2016

Publication Title

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Volume

146

Issue

6

First page number:

1211

Last page number:

1241

Abstract

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.

Keywords

concentration compactness; Heteroclinic solutions; homoclinic; Lusternik-Schnirelmann category; Singular Hamiltonian system; strong-force condition

Language

English

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