dc.contributorAlexander Pisarchik
dc.creatorBRENDA ESMERALDA MARTINEZ ZEREGA
dc.date2005-09
dc.date.accessioned2023-07-21T15:15:16Z
dc.date.available2023-07-21T15:15:16Z
dc.identifierhttp://cio.repositorioinstitucional.mx/jspui/handle/1002/822
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7725598
dc.description"In this work we introduce a method to stabilize a particular periodic orbit in an initially chaotic system. First, we apply a time delay in feedback which allows us to stabilize several periodic orbits embedded into the chaotic attractor. Then we add harmonic modulation to a system parameter or variable in order to lock one of the periodic states and by such a way to make the system monostable. The method is demonstrated with a Logistic Map and with a CO2 laser operating in a chaotic regime of a Shilnikov type. Also, we study the ability of the most widely used kinds of external harmonic modulation to annihilate an attractor in a bistable system. The comparative analysis of efficiencies to annihilate an undesired attractor of a chaotic Logistic Map with delayed feedback is performed for modulation applied either to a system parameter, to a system variable, or to the feedback strength. The results help to choose the most efficient type of modulation to control chaos and multistability."
dc.formatapplication/pdf
dc.languageeng
dc.relationcitation:Martínez Zérega, (2005). "Laser applications: Controlling multistability in dynamical systems with delayed feedback". Tesis de Doctorado en Ciencias (Óptica). Centro de Investigaciones en Óptica, A.C. León, Guanajuato. 123 pp.
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/AUTOR/DYNAMICAL SYSTEMS, CONTROL METHODS, LASERS, CHAOS
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2209
dc.subjectinfo:eu-repo/classification/cti/220910
dc.subjectinfo:eu-repo/classification/cti/220910
dc.titleLASER APPLICATIONS: CONTROLLING MULTISTABILITY IN DYNAMICAL SYSTEMS WITH DELAYED FEEDBACK
dc.typeinfo:eu-repo/semantics/doctoralThesis
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.coverageLeón, Guanajuato
dc.audiencegeneralPublic


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