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dc.contributor.editorArchilla, Juan F. R.es
dc.creatorXu, Haitaoes
dc.creatorCuevas-Maraver, Jesúses
dc.creatorKevrekidis, Panayotis G.es
dc.creatorVainchtein, Annaes
dc.date.accessioned2017-12-19T13:13:27Z
dc.date.available2017-12-19T13:13:27Z
dc.date.issued2017
dc.identifier.citationXu, H., Cuevas-Maraver, J., Kevrekidis, P.G. y Vainchtein, A. (2017). An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices. Philosophical Transactions A, 376, 20170192-.
dc.identifier.issn1364-503Xes
dc.identifier.issn1471-2962es
dc.identifier.urihttp://hdl.handle.net/11441/67804
dc.description.abstractIn this work, we revisit a criterion, originally proposed in [Nonlinearity 17, 207 (2004)], for the stability of solitary traveling waves in Hamiltonian, infinite-dimensional lattice dynamical systems. We discuss the implications of this criterion from the point of view of stability theory, both at the level of the spectral analysis of the advance-delay differential equations in the co-traveling frame, as well as at that of the Floquet problem arising when considering the traveling wave as a periodic orbit modulo a shift. We establish the correspondence of these perspectives for the pertinent eigenvalue and Floquet multiplier and provide explicit expressions for their dependence on the velocity of the traveling wave in the vicinity of the critical point. Numerical results are used to corroborate the relevant predictions in two different models, where the stability may change twice. Some extensions, generalizations and future directions of this investigation are also discussed.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherThe Royal Societyes
dc.relation.ispartofPhilosophical Transactions A, 376, 20170192-.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectSolitary traveling wavees
dc.subjectHamiltonian latticees
dc.titleAn energy-based stability criterion for solitary traveling waves in Hamiltonian latticeses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Física Aplicada Ies
dc.relation.publisherversionhttp://rsta.royalsocietypublishing.org/content/376/2117/20170192
dc.identifier.doi10.1098/rsta.2017.0192es
dc.contributor.groupUniversidad de Sevilla. FQM280: Física no Lineales
idus.format.extent25 p.es
idus.validador.notaPosprintes
dc.journaltitlePhilosophical Transactions A: Mathematical, Physical and Engineering Scienceses
dc.publication.volumen376
dc.publication.initialPage20170192

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