On the existence of quasi-periodic lattice oscillations

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dc.creatorKriecherbauer, Thomas
dc.date2005-02-03
dc.date.accessioned2026-07-07T05:16:40Z
dc.date.available2026-07-07T05:16:40Z
dc.descriptionWe construct multi-phase travelling waves which are periodic in time and quasi-periodic in the spatial variable for infinite nonlinear chains with nearest neighbor interactions. The main difficulty in the construction is a small divisor problem. We prove a KAM-type theorem for an infinite dimensional system following the approach of W. Craig and C. E Wayne which was further developed by J. Bourgain.
dc.description160 pages
dc.identifierhttps://arxiv.org/abs/math/0502077
dc.identifierhttp://arxiv.org/abs/math/0502077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74074
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject37K60, 34C15
dc.titleOn the existence of quasi-periodic lattice oscillations
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