dc.creator | Moscoso, M. | es |
dc.creator | Galán Vioque, Jorge Francisco | es |
dc.creator | Bonilla, L. L. | es |
dc.date.accessioned | 2017-04-17T17:13:40Z | |
dc.date.available | 2017-04-17T17:13:40Z | |
dc.date.issued | 2006 | |
dc.identifier.citation | Moscoso, M., Galán Vioque, J.F. y Bonilla, L.L. (2006). Bifurcation behavior of a superlattice model. SIAM Journal on Applied Mathematics, 60 (6), 2029-2057. | |
dc.identifier.issn | 00361399 | es |
dc.identifier.uri | http://hdl.handle.net/11441/57582 | |
dc.description.abstract | We present a complete description of the stationary and dynamical behavior of
semiconductor superlattices in the framework of a discrete drift model by means of numerical continuation,
singular perturbation analysis, and bifurcation techniques. The control parameters are the
applied DC voltage (φ) and the doping (ν) in nondimensional units. We show that the organizing
centers for the long time dynamics are Takens–Bogdanov bifurcation points in a broad range of parameters
and we cast our results in a φ-ν phase diagram. For small values of the doping, the system
has only one uniform solution where all the variables are almost equal. For high doping we find
multistability corresponding to domain solutions and the stationary solutions may exhibit chaotic
spatial behavior. In the intermediate regime of ν the solution can be time-periodic depending on the
bias. The oscillatory regions are related to the appearance and disappearance of Hopf bifurcation
tongues which can be sub- or supercritical. These results are in good agreement with most of the
experimental observations and also predict new interesting dynamical behavior. | es |
dc.description.sponsorship | Junta de Andalucía PB97-0088 | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Applied Mathematics, 60 (6), 2029-2057. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Takens–Bogdanov bifurcation | es |
dc.subject | Current instabilities | es |
dc.subject | Numerical continuation | es |
dc.subject | Amplitude equation | es |
dc.title | Bifurcation behavior of a superlattice model | 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 Matemática Aplicada II (ETSI) | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/abs/10.1137/S0036139998336754 | es |
dc.identifier.doi | 10.1137/S0036139998336754 | es |
idus.format.extent | 29 p. | es |
dc.journaltitle | SIAM Journal on Applied Mathematics | es |
dc.publication.volumen | 60 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 2029 | es |
dc.publication.endPage | 2057 | es |
dc.contributor.funder | Junta de Andalucía | |