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

Journal
Electronics
ISSN
2079-9292
Date Issued
2020
Author(s)
José Luis Echenausía-Monroy
Guillermo Huerta-Cuellar
Rider Jaimes-Reátegui
Juan Hugo García-López
Vicente Aboites
Cassal Quiroga, Bahia Betzavet
Type
Resource Types::text::journal::journal article
DOI
10.3390/electronics9060880
URL
https://scripta.up.edu.mx/handle/20.500.12552/3172
Abstract
<jats:p>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.</jats:p>

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