Periodic and chaotic spiking behaviors in a simplified memristive Hodgkin-Huxley circuit

Q Xu, Y Wang, H Wu, M Chen, B Chen - Chaos, Solitons & Fractals, 2024 - Elsevier
Abstract The famous Hodgkin-Huxley circuit contains two time-varying resistors to describe
the electrophysiological characteristics of sodium and potassium ion channels. But the time …

Bursting and spiking activities in a Wilson neuron circuit with memristive sodium and potassium ion channels

Q Xu, K Wang, M Chen, F Parastesh, N Wang - Chaos, Solitons & Fractals, 2024 - Elsevier
The marvelous Wilson neuron model involves sodium and potassium ion currents, which
offer great significance in generating firing activities. This paper firstly deduces that the …

Dynamic analysis and hardware implementation of multi-scroll Hopfield neural networks with three different memristor synapses

F Yu, C Wu, Y Lin, S He, W Yao, S Cai, J Jin - Nonlinear Dynamics, 2024 - Springer
Neurons play an important role in forming behaviors and cognition through synaptic
interactions. When organized into neural networks, these neurons can exhibit complex …

[HTML][HTML] Synchronization patterns in a network of diffusively delay-coupled memristive Chialvo neuron map

Z Wang, F Parastesh, H Natiq, J Li, X Xi, M Mehrabbeik - Physics Letters A, 2024 - Elsevier
The inescapable presence of time delay in numerous real-world systems, particularly in
neuronal networks, prompts an exploration of its impact on synchronization dynamics. This …

[HTML][HTML] How do the eigenvalues of the Laplacian matrix affect route to synchronization patterns?

K Rajagopal, S He, H Natiq, A Bayani, F Nazarimehr… - Physics Letters A, 2024 - Elsevier
In cluster synchronization, network nodes are divided into synchronized groups before the
whole network gets synchronized. This phenomenon is crucial in understanding the …

Weak synaptic connections may facilitate spiral wave formation under source–sink interactions

DN Hajian, F Parastesh, K Rajagopal, S Jafari… - … in Nonlinear Science …, 2024 - Elsevier
This study explores the interaction between two distinct sites, termed the source and the
sink, to analyze the possibility of spiral wave formation. To this aim, a grid of memristive …

Effect of Gaussian gradient in the medium's action potential morphology on spiral waves

K Rajagopal, DN Hajian, H Natiq, Y Peng… - Applied Mathematics …, 2024 - Elsevier
Disorders in the heart's conduction system can lead to the formation of rotating spiral waves,
and terminating the re-entrant seeds is crucial to restore cardiac function. Myocyte action …

Directed simplicial complexes in brain real-world networks

S Momani, VT Pham, Z Wei - The European Physical Journal Special …, 2024 - Springer
In this study, the higher order interactions, which are complex interactions involving more
than two neurons, are studied in two real-world networks. These interactions play a crucial …

A novel memristor Hopfield neural network with homogeneous coexisting multi-scroll attractors

L Huang, F Chen, Y Yang, L Zheng - Physica Scripta, 2024 - iopscience.iop.org
Compared to conventional single-scroll or double-scroll attractors, multi-scroll chaotic
attractors possess wide potential for application due to their adjustability and complex …