dc.creator | Cuevas-Maraver, Jesús | es |
dc.creator | Kevrekidis, Panayotis G. | es |
dc.creator | Vainchtein, Anna | es |
dc.creator | Xu, Haitao | es |
dc.date.accessioned | 2017-09-18T09:57:49Z | |
dc.date.available | 2017-09-18T09:57:49Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Cuevas-Maraver, J., Kevrekidis, P.G., Vainchtein, A. y Xu, H. (2017). Unifying perspective: solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability. Physical Review E, 96 (3), 032214-1-032214-9. | |
dc.identifier.issn | 1539-3755 | es |
dc.identifier.issn | 1550-2376 | es |
dc.identifier.uri | http://hdl.handle.net/11441/64464 | |
dc.description.abstract | In this work, we provide two complementary perspectives for the (spectral) stability of solitary traveling waves
in Hamiltonian nonlinear dynamical lattices, of which the Fermi-Pasta-Ulam and the Toda lattice are prototypical
examples. One is as an eigenvalue problem for a stationary solution in a cotraveling frame, while the other
is as a periodic orbit modulo shifts. We connect the eigenvalues of the former with the Floquet multipliers of
the latter and using this formulation derive an energy-based spectral stability criterion. It states that a sufficient
(but not necessary) condition for a change in the wave stability occurs when the functional dependence of
the energy (Hamiltonian) H of the model on the wave velocity c changes its monotonicity. Moreover, near
the critical velocity where the change of stability occurs, we provide an explicit leading-order computation of the
unstable eigenvalues, based on the second derivative of the Hamiltonian H(c0) evaluated at the critical velocity
c0. We corroborate this conclusion with a series of analytically and numerically tractable examples and discuss
its parallels with a recent energy-based criterion for the stability of discrete breathers. | es |
dc.description.sponsorship | Unión Europea MAT2016-79866-R (AEI / FEDER, UE) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Physical Society | es |
dc.relation.ispartof | Physical Review E, 96 (3), 032214-1-032214-9. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Solitons | es |
dc.subject | Solitary waves | es |
dc.subject | Vortices | es |
dc.subject | Nonlinear Dirac equation | es |
dc.subject | Stability | es |
dc.subject | PT -symmetry | es |
dc.subject | Soler model | es |
dc.subject | Discrete solitons | es |
dc.title | Unifying perspective: solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Aplicada I | es |
dc.relation.projectID | MAT2016-79866-R (AEI / FEDER, UE) | es |
dc.relation.publisherversion | https://journals.aps.org/pre/pdf/10.1103/PhysRevE.96.032214 | es |
dc.identifier.doi | 10.1103/PhysRevE.96.032214 | es |
dc.contributor.group | Universidad de Sevilla. FQM280: Física no Lineal | es |
idus.format.extent | 9 p. | es |
dc.journaltitle | Physical Review E | es |
dc.publication.volumen | 96 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 032214-1 | es |
dc.publication.endPage | 032214-9 | es |
dc.contributor.funder | European Union (UE) | |