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An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices

 

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dc.contributor.editor Archilla, Juan F. R. es
dc.creator Xu, Haitao es
dc.creator Cuevas-Maraver, Jesús es
dc.creator Kevrekidis, Panayotis G. es
dc.creator Vainchtein, Anna es
dc.date.accessioned 2017-12-19T13:13:27Z
dc.date.available 2017-12-19T13:13:27Z
dc.date.issued 2017
dc.identifier.citation Xu, 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.issn 1364-503X es
dc.identifier.issn 1471-2962 es
dc.identifier.uri http://hdl.handle.net/11441/67804
dc.description.abstract In 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.format application/pdf es
dc.language.iso eng es
dc.publisher The Royal Society es
dc.relation.ispartof Philosophical Transactions A, 376, 20170192-.
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ *
dc.subject Solitary traveling wave es
dc.subject Hamiltonian lattice es
dc.title An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices es
dc.type info:eu-repo/semantics/article es
dc.type.version info:eu-repo/semantics/acceptedVersion es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.contributor.affiliation Universidad de Sevilla. Departamento de Física Aplicada I es
dc.relation.publisherversion http://rsta.royalsocietypublishing.org/content/376/2117/20170192
dc.identifier.doi 10.1098/rsta.2017.0192 es
dc.contributor.group Universidad de Sevilla. FQM280: Física no Lineal es
idus.format.extent 25 p. es
idus.validador.nota Posprint es
dc.journaltitle Philosophical Transactions A: Mathematical, Physical and Engineering Sciences es
dc.publication.volumen 376
dc.publication.initialPage 20170192
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