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Ponencia
Breathers and surface modes in oscillator chains with Hertz ian interactions
dc.creator | James, Guillaume | |
dc.creator | Cuevas-Maraver, Jesús | |
dc.creator | Kevrekidis, Panayotis G. | |
dc.date.accessioned | 2015-06-05T09:02:00Z | |
dc.date.available | 2015-06-05T09:02:00Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | http://hdl.handle.net/11441/25252 | |
dc.description.abstract | We study localized waves in chains of oscillators coupled by Hertzian interactions and trapped in local potentials. This problem is originally motivated by Newton's cradle, a mechanical system consisting of a chain of touching beads subject to gravity and attached to inelastic strings. We consider an unusual setting with local oscillations and collisions acting on similar time scales, a situation corresponding e.g. to a modified Newton's cradle with beads mounted on stiff cantilevers. Such systems support static and traveling breathers with unusual properties, including double exponential spatial decay, almost vanishing Peierls-Nabarro barrier and spontaneous direction-reversing motion. We prove analytically the existence of surface modes and static breathers for anharmonic on-site potentials and weak Hertzian interactions. | es |
dc.description.sponsorship | MICINN project FIS2008- 04848 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | NOLTA | es |
dc.relation.ispartof | International Symposium on Nonlinear Theory and its Applications (2012. Palma de Mayorca, Spain) | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nonlinear sciences | es |
dc.subject | pattern formation and solitons mathematics | es |
dc.subject | dynamical systems | es |
dc.title | Breathers and surface modes in oscillator chains with Hertz ian interactions | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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://www.ieice.org/ess/nolta/2012 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/25252 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España |
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