A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study
This study presents a family of coexisting multi-scroll chaos in a network of coupled non-oscillatory neurons. The dynamics of the system are analyzed using phase portraits, basins of attraction, time series, bifurcation diagrams, and spectra of Lyapunov exponents. The coexistence of multiple bifurc...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024175573 |
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| author | Bertrand Frederick Boui A Boya Zeric Tabekoueng Njitacke Adelaide Nicole Kengnou Telem Jacques Kengne |
| author_facet | Bertrand Frederick Boui A Boya Zeric Tabekoueng Njitacke Adelaide Nicole Kengnou Telem Jacques Kengne |
| author_sort | Bertrand Frederick Boui A Boya |
| collection | DOAJ |
| description | This study presents a family of coexisting multi-scroll chaos in a network of coupled non-oscillatory neurons. The dynamics of the system are analyzed using phase portraits, basins of attraction, time series, bifurcation diagrams, and spectra of Lyapunov exponents. The coexistence of multiple bifurcation diagrams leads to a complex pattern of multi-scroll formation, which is further complicated by the presence of coexisting single-scroll attractors that merge to form multi-scroll chaos. In addition, the presence of bursting phenomena and multiple firing partners is present in the model. A control strategy based on a noninvasive control method is applied to select the desired multi-scroll. The effectiveness of the control method is demonstrated through numerical simulations. The experimental validation on an Arduino microcontroller confirms the theoretical results and demonstrates the feasibility of implementing the proposed model. These remarkable behaviors hold significant implications for understanding brain dynamics and have potential applications in various fields. |
| format | Article |
| id | doaj-art-3ba012328e9f40ed9bf5e661fcd72fec |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-3ba012328e9f40ed9bf5e661fcd72fec2025-01-17T04:51:32ZengElsevierHeliyon2405-84402025-01-01111e41526A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case studyBertrand Frederick Boui A Boya0Zeric Tabekoueng Njitacke1Adelaide Nicole Kengnou Telem2Jacques Kengne3Unité de Recherche d’Automatique et d’Informatique Appliquée (UR-AIA), IUT-FV Bandjoun University of Dschang, P.O. Box 134, Bandjoun, Cameroon; Institute of Computer Technology and Information Security, Engineering and Technological Academy, Southern Federal University, P.O. Box 347900, Taganrog, Russia; Corresponding author. Institute of Computer Technology and Information Security, Engineering and Technological Academy, Southern Federal University, P.O. Box 347900, Taganrog, Russia.Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, CameroonDepartment of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, CameroonUnité de Recherche d’Automatique et d’Informatique Appliquée (UR-AIA), IUT-FV Bandjoun University of Dschang, P.O. Box 134, Bandjoun, CameroonThis study presents a family of coexisting multi-scroll chaos in a network of coupled non-oscillatory neurons. The dynamics of the system are analyzed using phase portraits, basins of attraction, time series, bifurcation diagrams, and spectra of Lyapunov exponents. The coexistence of multiple bifurcation diagrams leads to a complex pattern of multi-scroll formation, which is further complicated by the presence of coexisting single-scroll attractors that merge to form multi-scroll chaos. In addition, the presence of bursting phenomena and multiple firing partners is present in the model. A control strategy based on a noninvasive control method is applied to select the desired multi-scroll. The effectiveness of the control method is demonstrated through numerical simulations. The experimental validation on an Arduino microcontroller confirms the theoretical results and demonstrates the feasibility of implementing the proposed model. These remarkable behaviors hold significant implications for understanding brain dynamics and have potential applications in various fields.http://www.sciencedirect.com/science/article/pii/S2405844024175573Hopfield inertial neuronsCoexisting multi-scroll chaosBasins of attractionBursting oscillationand multistability control |
| spellingShingle | Bertrand Frederick Boui A Boya Zeric Tabekoueng Njitacke Adelaide Nicole Kengnou Telem Jacques Kengne A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study Heliyon Hopfield inertial neurons Coexisting multi-scroll chaos Basins of attraction Bursting oscillation and multistability control |
| title | A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study |
| title_full | A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study |
| title_fullStr | A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study |
| title_full_unstemmed | A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study |
| title_short | A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study |
| title_sort | family of coexisting multi scroll chaos and its selected control in coupled non oscillatory neurons a case study |
| topic | Hopfield inertial neurons Coexisting multi-scroll chaos Basins of attraction Bursting oscillation and multistability control |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024175573 |
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