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Maximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions

dc.contributor.authorDíaz González, Edgar Cristian
dc.contributor.authorLópez Rentería, Jorge Antonio
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorAguirre Hernández, Baltazar
dc.contributor.editorSpringer
dc.date.accessioned2018-11-15T18:58:37Z
dc.date.available2018-11-15T18:58:37Z
dc.date.issued2016
dc.identifier.citationDíaz-González, E.C., López-Rentería, JA., Campos-Cantón, E. et al. J Nonlinear Sci (2016) 26: 1833. https://doi.org/10.1007/s00332-016-9321-x
dc.identifier.urihttp://hdl.handle.net/11627/4740
dc.description.abstract"In this paper, we present families of piecewise linear systems which are controlled by a continuous piecewise monoparametric control function for the generation of monoparametric families of multi-scroll attractors. Thus, the maximum range of values that the parameter set can take in order to preserve the useful dynamics for generating of multi-scroll attractors is found and it will be called maximal robust dynamics interval. This class of dynamical systems is the result of combining two or more unstable “one-spiral” trajectories. We give necessary and sufficient conditions in order to preserve multi-scroll attractors in terms of a parameter, i.e., a family of multi-scroll attractors is generated by means of a family of switching systems with multiple monoparametric companion matrices. Lastly, we provide an example to show how the developed theory works."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectUnstable dissipative systems
dc.subjectSwitching systems
dc.subjectChaotic systems
dc.subjectLinear control systems
dc.subject.classificationMATEMÁTICAS
dc.titleMaximal unstable dissipative interval to preserve multi-scroll attractors via multi-saturated functions
dc.typearticle
dc.identifier.doihttps://doi.org/10.1007/s00332-016-9321-x
dc.rights.accessAcceso Abierto


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