A family of coexisting multi-scroll chaos and its selected control in coupled non-oscillatory neurons: A case study.

Bertrand Frederick Boui A Boya, Zeric Tabekoueng Njitacke, Adelaide Nicole Kengnou Telem, Jacques Kengne

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Article in Heliyon, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors.

Bertrand Frederick Boui A BoyaUnité de Recherche d'Automatique et d'Informatique Appliquée (UR-AIA), IUT-FV Bandjoun University of Dschang, P.O. Box 134, Bandjoun, Cameroon.

Zeric Tabekoueng NjitackeDepartment of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon.

Adelaide Nicole Kengnou TelemDepartment of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon.

Jacques KengneUnité de Recherche d'Automatique et d'Informatique Appliquée (UR-AIA), IUT-FV Bandjoun University of Dschang, P.O. Box 134, Bandjoun, Cameroon.

Funding

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6 · The paper itself

Abstract

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.

Indexed as

and multistability controlBasins of attractionBursting oscillationCoexisting multi-scroll chaosHopfield inertial neurons

Identifiers

PMID39845000

DOI10.1016/j.heliyon.2024.e41526

PMCPMC11750535

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