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.File in questo prodotto:
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