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A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function

A novel autonomous 5-D hyperjerk RC circuit with hyperbolic sine function is proposed in this paper. Compared to some existing 5-D systems like the 5-D Sprott B system, the 5-D Lorentz, and the Lorentz-like systems, the new system is the simplest 5-D system with complex dynamics reported to date. It...

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Detalles Bibliográficos
Autores principales: Tsafack, N., Kengne, J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6140038/
https://www.ncbi.nlm.nih.gov/pubmed/30250405
http://dx.doi.org/10.1155/2018/1260325
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author Tsafack, N.
Kengne, J.
author_facet Tsafack, N.
Kengne, J.
author_sort Tsafack, N.
collection PubMed
description A novel autonomous 5-D hyperjerk RC circuit with hyperbolic sine function is proposed in this paper. Compared to some existing 5-D systems like the 5-D Sprott B system, the 5-D Lorentz, and the Lorentz-like systems, the new system is the simplest 5-D system with complex dynamics reported to date. Its simplicity mainly relies on its nonlinear part which is synthetized using only two semiconductor diodes. The system displays only one equilibrium point and can exhibit both periodic and chaotic dynamical behavior. The complex dynamics of the system is investigated by means of bifurcation analysis. In particular, the striking phenomenon of multistability is revealed showing up to seven coexisting attractors in phase space depending solely on the system's initial state. To the best of author's knowledge, this rich dynamics has not yet been revealed in any 5-D dynamical system in general or particularly in any hyperjerk system. Pspice circuit simulations are performed to verify theoretical/numerical analysis.
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spelling pubmed-61400382018-09-24 A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function Tsafack, N. Kengne, J. ScientificWorldJournal Research Article A novel autonomous 5-D hyperjerk RC circuit with hyperbolic sine function is proposed in this paper. Compared to some existing 5-D systems like the 5-D Sprott B system, the 5-D Lorentz, and the Lorentz-like systems, the new system is the simplest 5-D system with complex dynamics reported to date. Its simplicity mainly relies on its nonlinear part which is synthetized using only two semiconductor diodes. The system displays only one equilibrium point and can exhibit both periodic and chaotic dynamical behavior. The complex dynamics of the system is investigated by means of bifurcation analysis. In particular, the striking phenomenon of multistability is revealed showing up to seven coexisting attractors in phase space depending solely on the system's initial state. To the best of author's knowledge, this rich dynamics has not yet been revealed in any 5-D dynamical system in general or particularly in any hyperjerk system. Pspice circuit simulations are performed to verify theoretical/numerical analysis. Hindawi 2018-09-03 /pmc/articles/PMC6140038/ /pubmed/30250405 http://dx.doi.org/10.1155/2018/1260325 Text en Copyright © 2018 N. Tsafack and J. Kengne. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Tsafack, N.
Kengne, J.
A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
title A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
title_full A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
title_fullStr A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
title_full_unstemmed A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
title_short A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
title_sort novel autonomous 5-d hyperjerk rc circuit with hyperbolic sine function
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6140038/
https://www.ncbi.nlm.nih.gov/pubmed/30250405
http://dx.doi.org/10.1155/2018/1260325
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