Quasi{periodicity of Motions and Complete Integrability of Hamiltonian Systems

نویسنده

  • Francesco Fass
چکیده

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

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تاریخ انتشار 2007