10-179 Leo T. Butler, Alfonso Sorrentino

A Weak Liouville-Arnold Theorem (526K, Pdf) Nov 2, 10

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Abstract. This paper studies properties of Tonelli Hamiltonian systems that possess n independent but not necessarily involutive constants of motion. We obtain results reminiscent of the Liouville-Arnold theorem under suitable hypothesis on the regular set of these constants of motion.

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