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Multistability Emergence through Fractional-Order-Derivatives in a PWL Multi-Scroll System

dc.contributor.authorEchenausía Monroy, José Luis
dc.contributor.authorHuerta Cuellar, Guillermo
dc.contributor.authorJaimes Reátegui, Rider
dc.contributor.authorGarcía López, Juan Hugo
dc.contributor.authorAboites, Vicente
dc.contributor.authorCassal Quiroga, Bahia Betzavet
dc.contributor.authorGilardi Velázquez, Héctor Eduardo
dc.identifier.citationEchenausía-Monroy, J.L.; Huerta-Cuellar, G.; Jaimes-Reátegui, R.; García-López, J.H.; Aboites, V.; Cassal-Quiroga, B.B.; Gilardi-Velázquez, H.E. Multistability Emergence through Fractional-Order-Derivatives in a PWL Multi-Scroll System. Electronics 2020, 9, 880.
dc.description.abstract"In this paper, the emergence of multistable behavior through the use of fractional-order-derivatives in a Piece-Wise Linear (PWL) multi-scroll generator is presented. Using the integration-order as a bifurcation parameter, the stability in the system is modified in such a form that produces a basin of attraction segmentation, creating many stable states as scrolls are generated in the integer-order system. The results here presented reproduce the same phenomenon reported in systems with integer-order derivatives, where the multistable regimen is obtained through a parameter variation. The multistable behavior reported is also validated through electronic simulation. The presented results are not only applicable in engineering fields, but they also enrich the analysis and the understanding of the implications of using fractional integration orders, boosting the development of further and better studies."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectMulti-scroll system
dc.subjectHybrid systems
dc.subjectNon-linear systems
dc.subjectUnstable dissipative systems
dc.subject.classificationINGENIERÍA Y TECNOLOGÍA
dc.titleMultistability Emergence through Fractional-Order-Derivatives in a PWL Multi-Scroll System
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