Nekhoroshev stability for the Dirichlet Toda lattice

Henrici, Andreas

doi:10.21256/zhaw-5042

Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-5042

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DC Field	Value	Language
dc.contributor.author	Henrici, Andreas	-
dc.date.accessioned	2019-03-14T14:01:26Z	-
dc.date.available	2019-03-14T14:01:26Z	-
dc.date.issued	2018	-
dc.identifier.issn	2073-8994	de_CH
dc.identifier.uri	https://digitalcollection.zhaw.ch/handle/11475/16098	-
dc.description.abstract	In 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.iso	en	de_CH
dc.publisher	MDPI	de_CH
dc.relation.ispartof	Symmetry	de_CH
dc.rights	http://creativecommons.org/licenses/by/4.0/	de_CH
dc.subject.ddc	510: Mathematik	de_CH
dc.title	Nekhoroshev stability for the Dirichlet Toda lattice	de_CH
dc.type	Beitrag in wissenschaftlicher Zeitschrift	de_CH
dcterms.type	Text	de_CH
zhaw.departement	School of Engineering	de_CH
zhaw.organisationalunit	Institut für Angewandte Mathematik und Physik (IAMP)	de_CH
dc.identifier.doi	10.21256/zhaw-5042	-
dc.identifier.doi	10.3390/sym10100506	de_CH
zhaw.funding.eu	No	de_CH
zhaw.issue	10	de_CH
zhaw.originated.zhaw	Yes	de_CH
zhaw.pages.start	506	de_CH
zhaw.publication.status	publishedVersion	de_CH
zhaw.volume	10	de_CH
zhaw.publication.review	Peer review (Publikation)	de_CH
Appears in collections:	Publikationen School of Engineering

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Henrici, A. (2018). Nekhoroshev stability for the Dirichlet Toda lattice. Symmetry, 10(10), 506. https://doi.org/10.21256/zhaw-5042

Henrici, A. (2018) ‘Nekhoroshev stability for the Dirichlet Toda lattice’, Symmetry, 10(10), p. 506. Available at: https://doi.org/10.21256/zhaw-5042.

A. Henrici, “Nekhoroshev stability for the Dirichlet Toda lattice,” Symmetry, vol. 10, no. 10, p. 506, 2018, doi: 10.21256/zhaw-5042.

HENRICI, Andreas, 2018. Nekhoroshev stability for the Dirichlet Toda lattice. Symmetry. 2018. Bd. 10, Nr. 10, S. 506. DOI 10.21256/zhaw-5042

Henrici, Andreas. 2018. “Nekhoroshev Stability for the Dirichlet Toda Lattice.” Symmetry 10 (10): 506. https://doi.org/10.21256/zhaw-5042.

Henrici, Andreas. “Nekhoroshev Stability for the Dirichlet Toda Lattice.” Symmetry, vol. 10, no. 10, 2018, p. 506, https://doi.org/10.21256/zhaw-5042.