dc.creator | Luque Sendra, Amalia | es |
dc.creator | Barbancho Concejero, Julio | es |
dc.creator | Fernández Cañete, Javier | es |
dc.creator | Córdoba-Roldán, Antonio | es |
dc.date.accessioned | 2019-10-25T11:12:15Z | |
dc.date.available | 2019-10-25T11:12:15Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Luque Sendra, A., Barbancho Concejero, J., Fernández Cañete, J. y Córdoba Roldán, A. (2017). Phase Shadows: An Enhanced Representation of Nonlinear Dynamic Systems. International Journal of Bifurcation and Chaos, 27 (14), 1730051-1-1730051-14. | |
dc.identifier.issn | 0218-1274 | es |
dc.identifier.uri | https://hdl.handle.net/11441/89913 | |
dc.description.abstract | Many nonlinear dynamic systems have a rotating behavior where an angle defining its state
may extend to more than 360◦. In these cases the use of the phase portrait does not properly
depict the system’s evolution. Normalized phase portraits or cylindrical phase portraits have
been extensively used to overcome the original phase portrait’s disadvantages. In this research
a new graphic representation is introduced: the phase shadow. Its use clearly reveals the system
behavior while overcoming the drawback of the existing plots. Through the paper the method to
obtain the graphic is stated. Additionally, to show the phase shadow’s expressiveness, a rotating
pendulum is considered. The work exposes that the new graph is an enhanced representational
tool for systems having equilibrium points, limit cycles, chaotic attractors and/or bifurcations. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | World Scientific | es |
dc.relation.ispartof | International Journal of Bifurcation and Chaos, 27 (14), 1730051-1-1730051-14. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Phase shadow | es |
dc.subject | Phase portrait | es |
dc.subject | Rotating pendulum | es |
dc.subject | Nonlinear behavior | es |
dc.title | Phase Shadows: An Enhanced Representation of Nonlinear Dynamic Systems | 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 Tecnología Electrónica | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ingeniería del Diseño | es |
dc.relation.publisherversion | https://www.worldscientific.com/doi/10.1142/S0218127417300518 | es |
dc.identifier.doi | 10.1142/S0218127417300518 | es |
idus.format.extent | 14 | es |
dc.journaltitle | International Journal of Bifurcation and Chaos | es |
dc.publication.volumen | 27 | es |
dc.publication.issue | 14 | es |
dc.publication.initialPage | 1730051-1 | es |
dc.publication.endPage | 1730051-14 | es |