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A C1 Arnol'd-Liouville theorem
Abstract : In this paper, we prove a version of Arnol'd-Liouville theorem for C 1 commuting Hamiltonians. We show that the Lipschitz regularity of the foliation by invariant Lagrangian tori is crucial to determine the Dynamics on each Lagrangian torus and that the C 1 regularity of the foliation by invariant Lagrangian tori is crucial to prove the continuity of Arnol'd-Liouville coordinates. We also explore various notions of C 0 and Lipschitz integrability.
Cited literature [23 references]
https://hal-univ-avignon.archives-ouvertes.fr/hal-01422530
Contributor : Marie-Claude Arnaud Connect in order to contact the contributor
Submitted on : Wednesday, August 16, 2017 - 3:18:29 PM
Last modification on : Tuesday, December 8, 2020 - 9:50:37 AM
Contributor : Marie-Claude Arnaud Connect in order to contact the contributor
Submitted on : Wednesday, August 16, 2017 - 3:18:29 PM
Last modification on : Tuesday, December 8, 2020 - 9:50:37 AM
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