Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-5042
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dc.contributor.authorHenrici, Andreas-
dc.date.accessioned2019-03-14T14:01:26Z-
dc.date.available2019-03-14T14:01:26Z-
dc.date.issued2018-
dc.identifier.issn2073-8994de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/16098-
dc.description.abstractIn this work, we prove a Nekhoroshev-type stability theorem for the Toda lattice with Dirichlet boundary conditions, i.e., with fixed ends. The Toda lattice is a member of the family of Fermi-Pasta-Ulam (FPU) chains, and in view of the unexpected recurrence phenomena numerically observed in these chains, it has been a long-standing research aim to apply the theory of perturbed integrable systems to these chains, in particular to the Toda lattice which has been shown to be a completely integrable system. The Dirichlet Toda lattice can be treated mathematically by using symmetries of the periodic Toda lattice. Precisely, by treating the phase space of the former system as an invariant subset of the latter one, namely as the fixed point set of an important symmetry of the periodic lattice, the results already obtained for the periodic lattice can be used to obtain analogous results for the Dirichlet lattice. In this way, we transfer our stability results for the periodic lattice to the Dirichlet lattice. The Nekhoroshev theorem is a perturbation theory result which does not have the probabilistic character of related theorems, and the lattice with fixed ends is more important for applications than the periodic one.de_CH
dc.language.isoende_CH
dc.publisherMDPIde_CH
dc.relation.ispartofSymmetryde_CH
dc.rightshttp://creativecommons.org/licenses/by/4.0/de_CH
dc.subject.ddc500: Naturwissenschaften und Mathematikde_CH
dc.titleNekhoroshev stability for the Dirichlet Toda latticede_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Angewandte Mathematik und Physik (IAMP)de_CH
dc.identifier.doi10.3390/sym10100506de_CH
dc.identifier.doi10.21256/zhaw-5042de_CH
zhaw.funding.euNode_CH
zhaw.issue10de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.start506de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume10de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
Appears in Collections:Publikationen School of Engineering

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