Transactions of the American Mathematical Society, 2011-10, Vol.363 (10), p.5071-5089
2011
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Details
- Autor(en) / Beteiligte
- Titel
- On the integrability of Tonelli Hamiltonians
- Ist Teil von
- Transactions of the American Mathematical Society, 2011-10, Vol.363 (10), p.5071-5089
- Ort / Verlag
- Providence, RI: American Mathematical Society
- Erscheinungsjahr
- 2011
- Quelle
- EZB Electronic Journals Library
- Beschreibungen/Notizen
- In this article we discuss a weaker version of Liouville's Theorem on the integrability of Hamiltonian systems. We show that in the case of Tonelli Hamiltonians the involution hypothesis on the integrals of motion can be completely dropped and still interesting information on the dynamics of the system can be deduced. Moreover, we prove that on the n
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0002-9947eISSN: 1088-6850DOI: 10.1090/S0002-9947-2011-05492-9Titel-ID: cdi_crossref_primary_10_1090_S0002_9947_2011_05492_9
- Format
- –
- Schlagworte
- Exact sciences and technology, Functional analysis, General mathematics, General, history and biography, Global analysis, analysis on manifolds, Kinetics, Lagrangian function, Liouville theorem, Mathematical analysis, Mathematical functions, Mathematical integrals, Mathematical theorems, Mathematical vectors, Mathematics, Sciences and techniques of general use, Tangents, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Vector fields