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ABSTRACT
Hamiltonian systems are at the basis of the description of physical systems and controlled systems which are widely used in mechanical, automatic or robotic applications. This article provides an overview of the modern calculation methods of variations applied to the search for periodic, homocline or heterocline solutions for Hamiltonian systems of finite dimension. The basic results are particularly presented by focusing on underlying ideas without trying to present the optimal hypothesis.
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Read the articleAUTHORS
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Denis BONHEURE: FNRS Research Fellow (Fonds de la Recherche Scientifique), Belgium
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Michel WILLEM: Professor at the Catholic University of Louvain, Belgium
INTRODUCTION
This dossier contains an overview of modern methods of calculus of variations applied to the search for periodic, homoclinic or heteroclinic solutions for (finite-dimensional) Hamiltonian systems. We mainly present basic results, emphasizing the underlying ideas without attempting to state optimal hypotheses. We refer the reader to the original papers at
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Hamiltonian systems: a variational overview
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