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Multivalued synchronization by Poincar coupling

dc.contributor.authorOntañón García Pimentel, Luis Javier
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorFemat Flores, Alejandro Ricardo
dc.contributor.authorCampos Cantón, Isaac
dc.contributor.authorBonilla Marín, Marcial
dc.contributor.editorElsevier
dc.date.accessioned2018-11-15T18:58:03Z
dc.date.available2018-11-15T18:58:03Z
dc.date.issued2013
dc.identifier.citationL.J. Ontañón-Garcı́a, E. Campos-Cantón, R. Femat, I. Campos-Cantón, M. Bonilla-Marín, Multivalued synchronization by Poincaré coupling, Communications in Nonlinear Science and Numerical Simulation, Volume 18, Issue 10, 2013, Pages 2761-2768.
dc.identifier.urihttp://hdl.handle.net/11627/4691
dc.description.abstract"This work presents multivalued chaotic synchronization via coupling based on the Poincaré plane. The coupling is carried out by an underdamped signal, triggered every crossing event of the trajectory of the master system through a previously defined Poincaré plane. A master–slave system is explored, and the synchronization between the systems is detected via the auxiliary system approach and the maximum conditional Lyapunov exponent. Due to the response to specific conditions two phenomena may be obtained: univalued and multivalued synchronization. Since the Lyapunov exponent is not enough to detect these two phenomena, the distance between the pieces of trajectories of the slave and auxiliary systems with different initial conditions is also used as a tool for the detection of multivalued synchronization. Computer simulations using the benchmark chaotic systems of Lorenz and Rössler are used to exemplify the approach proposed."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectChaos synchronization
dc.subjectPoincar plane
dc.subjectMultimodal synchronization
dc.subject.classificationMATEMÁTICAS
dc.titleMultivalued synchronization by Poincar coupling
dc.typearticle
dc.identifier.doihttps://doi.org/10.1016/j.cnsns.2013.02.015
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