Publication:
Anomalies of ac solitary waves with internal modes: nonparametric resonances induced by parametric forces

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorQuintero, Niurka R.
dc.contributor.authorSánchez, Angel
dc.contributor.authorMertens, Franz G.
dc.date.accessioned2012-08-28T11:41:08Z
dc.date.available2012-08-28T11:41:08Z
dc.date.issued2001-10
dc.description.abstractWe study the dynamics of kinks in the O4 model subjected to a parametric ac force, both with and without damping, as a paradigm of solitary waves with internal modes. By using a collective coordinate approach, we find that the parametric force has a nonparametric effect on the kink motion. Specifically, we find that the internal mode leads to a resonance for frequencies of the parametric driving close to its own frequency, in which case the energy of the system grows as well as the width of the kink. These predictions of the collective coordinate theory are verified by numerical simulations of the full partial differential equation. We finally compare this kind of resonance with that obtained for nonparametric ac forces and conclude that the effect of ac drivings on solitary waves with internal modes is exactly the opposite of their character in the partial differential equation.es
dc.description.sponsorshipWork at Sevilla was supported by the EU Grant No. LOCNET HPRN-CT-1999-00163. Work at Leganés was supported by DGI of MCyT (Spain) through Grant No. BFM2000-0006.es
dc.description.statusPublicadoes
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E, vol 64, n. 4, oct. 2001. Pp. 1-7es
dc.identifier.doi10.1103/PhysRevE.64.046601
dc.identifier.issn1539-3755 (print version)
dc.identifier.issn1550-2376 (online version)
dc.identifier.urihttps://hdl.handle.net/10016/15140
dc.language.isoenges
dc.publisherAmerican Physical Societyes
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.64.046601
dc.rights.accessRightsopen accesses
dc.subject.ecienciaMatemáticases
dc.titleAnomalies of ac solitary waves with internal modes: nonparametric resonances induced by parametric forceses
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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