On the local structure of recursion operators for symmetries

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Abstract

For a class of Hamiltonian systems with a suitable recursion operator for symmetries it is shown that there exists a local coordinate system in which the Hamiltonian, the symplectic form and the recursion operator all have a special (diagonal) form.

Original languageEnglish
Pages (from-to)389-403
Number of pages15
JournalIndagationes Mathematicae
Volume48
Issue number4
DOIs
Publication statusPublished - 1 Dec 1986

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