Now showing 1 - 10 of 13
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Multistability Emergence through Fractional-Order-Derivatives in a PWL Multi-Scroll System

2020 , José Luis Echenausía-Monroy , Guillermo Huerta-Cuellar , Rider Jaimes-Reátegui , Juan Hugo García-López , Vicente Aboites , Cassal Quiroga, Bahia Betzavet , Gilardi Velázquez, Héctor Eduardo

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.

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Generation of Self-Excited, Hidden and Non-Self-Excited Attractors in Piecewise Linear Systems

2023 , Eric Campos Cantón , Rodolfo de Jesús Escalante González , Gilardi Velázquez, Héctor Eduardo

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Multistability route in a PWL multi-scroll system through fractional-order derivatives

2022 , J.L. Echenausía-Monroy , Gilardi Velázquez, Héctor Eduardo , Ning Wang , R. Jaimes-Reátegui , J.H. García-López , G. Huerta-Cuellar

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Emergence of synchronous behavior in a network with chaotic multistable systems

2021 , A. Ruiz-Silva , Gilardi Velázquez, Héctor Eduardo , Eric Campos

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Implementation of the cFS framework for the development of software in aerospace missions: first application in an undergraduate program in Mexico

2021 , M. De la Vega-Martínez , M.C. Velázquez-García , M.F. Zavala-López , Hernandez, Erika , R.A. Gutiérrez-Esparza , D.G. Arcos-Bravo , D. Medina , Gilardi Velázquez, Héctor Eduardo , D. McComas

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Intermittency induced in a bistable multiscroll attractor by means of stochastic modulation

2019-01-01 , Echenausía-Monroy, José L. , Huerta-Cuellar, Guillermo , Jaimes-Reátegui, Rider , García-López, Juan H. , Gilardi Velázquez, Héctor Eduardo

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On the behavior of bidirectionally coupled multistable systems

2022 , Ana Luisa Silva , Cassal Quiroga, Bahia Betzavet , G. Huerta-Cuellar , Gilardi Velázquez, Héctor Eduardo

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A physical interpretation of fractional-order-derivatives in a jerk system: Electronic approach

2020 , J.L. Echenausía-Monroy , Gilardi Velázquez, Héctor Eduardo , R. Jaimes-Reátegui , V. Aboites , G. Huerta-Cuellar

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Emergence of a square chaotic attractor through the collision of heteroclinic orbits

2020 , Gilardi Velázquez, Héctor Eduardo

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Simple design of a PFC Device based on Switched Capacitors using Analog and Digital Circuits

2020 , Ruiz-Martinez, O.F. , Gilardi Velázquez, Héctor Eduardo