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Behavior of Hamiltonian systems close to integrable

✍ Scribed by N. N. Nekhoroshev


Publisher
Springer US
Year
1972
Tongue
English
Weight
164 KB
Volume
5
Category
Article
ISSN
0016-2663

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Geometric structure of β€œbroadly integrab
✍ Francesco FassΓ²; Andrea Giacobbe πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 127 KB

We study the geometry of the fibration in invariant tori of a Hamiltonian system which is integrable in Bogoyavlenskij's "broad sense"-a generalization of the standard cases of Liouville and non-commutative integrability. We show that the structure of such a fibration generalizes that of the standar