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Article Dans Une Revue Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2009

On the Maslov index of multi-pulse orbits

Résumé

Multi-pulse homoclinic orbits of Hamiltonian systems on $\mathbb R^4$ can be classified by a sequence of integers. In this paper, we find the surprising result that this string of integers encodes the value of the Maslov index of the homoclinic orbit. Our results include a computable formulation of the Maslov index for homoclinic orbits and a robust numerical method for the evaluation of the Maslov index.

Dates et versions

hal-00793129 , version 1 (21-02-2013)

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Citer

Frédéric Chardard, Frédéric Dias, Thomas Bridges. On the Maslov index of multi-pulse orbits. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 465 (2109), p.2897-2910. ⟨10.1098/rspa.2009.0155⟩. ⟨hal-00793129⟩
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