Synchronization Studies of Hindmarsh-Rose Neuron Networks: Unraveling the Influence of connection induced memristive synapse.

Nonlinear Dynamics Synapses Neurons / physiology Cluster Analysis
Chimera Hindmarsh–Rose neuron Hyperchaos Memristor synapse

Journal

Bio Systems
ISSN: 1872-8324
Titre abrégé: Biosystems
Pays: Ireland
ID NLM: 0430773

Informations de publication

Date de publication:
Dec 2023
Historique:
received: 18 07 2023
revised: 01 11 2023
accepted: 01 11 2023
medline: 20 11 2023
pubmed: 9 11 2023
entrez: 8 11 2023
Statut: ppublish

Résumé

This study focuses on the synchronization analysis of Hindmarsh-Rose neurons coupled through a common memristor (coupled mHRN). Initially, we thoroughly examine the synchronization of two mHRNs coupled via a common memristor before exploring synchronization in a network of mHRNs. The stability of the proposed model is analyzed in three cases, demonstrating the existence of a single equilibrium point whose stability is influenced by external stimuli. The stable and unstable regions are investigated using eigenvalues. Through bifurcation analysis and the determination of maximum Lyapunov exponents, we identify chaotic and hyperchaotic trajectories. Additionally, using the next-generation matrix method, we calculate the chaotic number C

Identifiants

DOI: 10.1016/j.biosystems.2023.105069 PMID: 37939869
pubmed: 37939869
pii: S0303-2647(23)00244-7
doi: 10.1016/j.biosystems.2023.105069
pii:
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

105069

Informations de copyright

Copyright © 2023 Elsevier B.V. All rights reserved.

Déclaration de conflit d'intérêts

Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Auteurs

Dianavinnarasi Joseph (D)

Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, India. Electronic address: dianavinarasij@citchennai.net.

Raja Ramachandran (R)

Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi 630004, India; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon. Electronic address: rajar@alagappauniversity.ac.in.

Anitha Karthikeyan (A)

Department of Electronics and Communication Engineering, Vemu Institute of Technology, Chitoor, Andhra Pradesh 517112, India; Department of Electronics and Communication Engineering and University Centre for Research & Development, Chandigarh University, Mohali 140413, India. Electronic address: mrs.anithakarthikeyan@gmail.com.

Karthikeyan Rajagopal (K)

Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, India. Electronic address: karthikeyan.rajagopal@citchennai.net.

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Classifications MeSH

questionsmedicales.fr › Disciplines des sciences naturelles › Mathématiques › Dynamique non linéaire › Synchronization Studies of Hindmarsh-Rose...
questionsmedicales.fr › Cellules › Structures cellulaires › Membrane cellulaire › Structures de la membrane cellulaire › Jonctions intercellulaires › Synapses › Synchronization Studies of Hindmarsh-Rose...
questionsmedicales.fr › Cellules › Neurones › Synchronization Studies of Hindmarsh-Rose...
questionsmedicales.fr › Environnement et santé publique › Santé publique › Méthodes épidémiologiques › Statistiques comme sujet › Analyse de regroupements › Synchronization Studies of Hindmarsh-Rose...