Connecting orbits for a class of singular time-periodic second-order Hamiltonian systems
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Published:2016-11-08
Issue:6
Volume:146
Page:1211-1241
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ISSN:0308-2105
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Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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language:en
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Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Abstract
We show the existence of connecting orbits for a class of singular second-order Hamiltonian systemswhere, 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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics