Title
Multistability Emergence through Fractional-Order-Derivatives in a PWL Multi-Scroll System
11627/557011627/5570
Author
Echenausía Monroy, José Luis
Huerta Cuellar, Guillermo
Jaimes Reátegui, Rider
García López, Juan Hugo
Aboites, Vicente
Cassal Quiroga, Bahia Betzavet
Gilardi Velázquez, Héctor Eduardo
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."
Publication date
2020Publication type
articleDOI
https://doi.org/10.3390/electronics9060880Knowledge area
INGENIERÍA Y TECNOLOGÍAPublisher
MDPIKeywords
MultistabilityFractional-order-derivatives
Multi-scroll system
Hybrid systems
Non-linear systems
Unstable dissipative systems
Citation
Echenausía-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. https://doi.org/10.3390/electronics9060880View/ Open
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