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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi
2018
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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. |
format | Online Article Text |
id | pubmed-6140038 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Hindawi |
record_format | MEDLINE/PubMed |
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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