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

Document Type

Article

Publication Date

11-8-2016

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 existence of connecting orbits for a class of singular second-order Hamiltonian systems u¨ + Vu(t, u) = 0 , −∞ < t < ∞. 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.

Find It

UNLV article access

Search your library

Share

COinS