Chemically coupled Hindmarsh–Rose neurons with cross interactions between membrane potential and magnetic flux

DOI10.1088/1751-8121/ace56fzbMath1530.83056OpenAlexW4383498314MaRDI QIDQ6113114

P. A. Subha, T. Remi

Publication date: 8 August 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/ace56f

zbMATH Keywords

stability analysisneural networkpattern formationscross couplingenergy analysistravelling chimeras

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Spectrum, resolvent (47A10) Coherent states (81R30) Chemical kinetics in thermodynamics and heat transfer (80A30) Stability and instability of geophysical and astrophysical flows (76E20) Bifurcation theory for random and stochastic dynamical systems (37H20) Neural nets and related approaches to inference from stochastic processes (62M45) Pattern formations in context of PDEs (35B36) Biologically inspired models of computation (DNA computing, membrane computing, etc.) (68Q07)

Cites Work

• Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons
• Collective dynamics and energy aspects of star-coupled Hindmarsh-Rose neuron model with electrical, chemical and field couplings
• The route to synchrony via drum head mode and mixed oscillatory state in star coupled Hindmarsh-Rose neural network
• Chimera states in a multi-weighted neuronal network
• Collective dynamics of neural network with distance dependent field coupling
• Chimera states in coupled Hindmarsh-Rose neurons with \(\alpha\)-stable noise
• Chimera states in a ring of map-based neurons
• Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera
• Firing and synchronization modes in neural network under magnetic stimulation
• Impact of network structure on synchronization of Hindmarsh-Rose neurons coupled in structured network
• Synchronization of weakly coupled oscillators: coupling, delay and topology
• A simple locally active memristor and its application in HR neurons
• Bursting
• Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function

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