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

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...

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Bibliographic Details
Published in:Electronics (Basel) 2020-06, Vol.9 (6), p.880
Main Authors: Echenausía-Monroy, José Luis, Huerta-Cuellar, Guillermo, Jaimes-Reátegui, Rider, García-López, Juan Hugo, Aboites, Vicente, Cassal-Quiroga, Bahia Betzavet, Gilardi-Velázquez, Héctor Eduardo
Format: Article
Language:English
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Summary: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.
ISSN:2079-9292
2079-9292
DOI:10.3390/electronics9060880