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Difference map and its electronic circuit realization

dc.contributor.authorGarcía Martínez, Moises
dc.contributor.authorCampos Cantón, Isaac
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorCelikovsk, Sergej
dc.contributor.editorSpringer
dc.date.accessioned2018-11-15T18:58:47Z
dc.date.available2018-11-15T18:58:47Z
dc.date.issued2013
dc.identifier.citationGarcía Martínez, M., Campos-Cantón, I., Campos-Cantón, E. et al. Nonlinear Dyn (2013) 74: 819. https://doi.org/10.1007/s11071-013-1007-4
dc.identifier.urihttp://hdl.handle.net/11627/4754
dc.description.abstract"In this paper we study the dynamical behavior of the one-dimensional discrete-time system, the so-called iterated map. Namely, a bimodal quadratic map is introduced which is obtained as an amplification of the difference between well-known logistic and tent maps. Thus, it is denoted as the so-called difference map. The difference map exhibits a variety of behaviors according to the selection of the bifurcation parameter. The corresponding bifurcations are studied by numerical simulations and experimentally. The stability of the difference map is studied by means of Lyapunov exponent and is proved to be chaotic according to Devaney’s definition of chaos. Later on, a design of the electronic implementation of the difference map is presented. The difference map electronic circuit is built using operational amplifiers, resistors and an analog multiplier. It turns out that this electronic circuit presents fixed points, periodicity, chaos and intermittency that match with high accuracy to the corresponding values predicted theoretically."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectChaotic behavior
dc.subjectLyapunov exponent
dc.subjectBifurcation parameter
dc.subjectBifurcation diagram
dc.subjectStability analysis
dc.subject.classificationMATEMÁTICAS
dc.titleDifference map and its electronic circuit realization
dc.typearticle
dc.identifier.doihttps://doi.org/10.1007/s11071-013-1007-4
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional