Abstract: Consider a Hamiltonian system with d degrees of freedom whose motions are all linear on tori of some fixed dimension n less than or equal to d; is such a system necessarily completely (or else non-commutatively) integrable? We show that the answer is affirmative under quite broad conditions, but not always, and we provide counterexamples.

Quasi-periodicity of motions and complete integrability of Hamiltonian systems

FASSO', FRANCESCO
1998

Abstract

Abstract: Consider a Hamiltonian system with d degrees of freedom whose motions are all linear on tori of some fixed dimension n less than or equal to d; is such a system necessarily completely (or else non-commutatively) integrable? We show that the answer is affirmative under quite broad conditions, but not always, and we provide counterexamples.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/128553
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