Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems

G Wang, D Yu, Q Ding, T Li, Y Jia - Chaos, Solitons & Fractals, 2021 - Elsevier
The effects of electric field on vibrational resonance in single Hindmarsh-Rose (HR) neuron
and coupled HR neurons system are investigated by using Fourier coefficient, respectively. It …

Low-voltage low-power integrable CMOS circuit implementation of integer-and fractional–order FitzHugh–Nagumo neuron model

FA Khanday, NA Kant, MR Dar… - … on Neural Networks …, 2018 - ieeexplore.ieee.org
The low-voltage low-power sinh-domain (SD) implementations of integer-and fractional-
order FitzHugh-Nagumo (FHN) neuron model have been introduced in this paper. Besides …

Six decades of the FitzHugh-Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines

D Cebrían-Lacasa, P Parra-Rivas… - arxiv preprint arxiv …, 2024 - arxiv.org
The FitzHugh-Nagumo equation, originally conceived in neuroscience during the 1960s,
became a key model providing a simplified view of excitable neuron cell behavior. Its …

Chaos, periodicity, and quasiperiodicity in a radio-physical oscillator

V Wiggers, PC Rech - International Journal of Bifurcation and Chaos, 2017 - World Scientific
We report parameter planes displaying dynamical behaviors of a radio-physical oscillator
system, which is modeled by a set of four-parameter three autonomous first-order nonlinear …

Noise-induced stabilization of the FitzHugh–Nagumo neuron dynamics: Multistability and transient chaos

C Manchein, L Santana, RM da Silva… - … Journal of Nonlinear …, 2022 - pubs.aip.org
The nonlinear dynamics of a FitzHugh–Nagumo (FHN) neuron driven by an oscillating
current and perturbed by a Gaussian noise signal with different intensities D is investigated …

Dynamic expression of a HR neuron model under an electric field

S Qiao, XL An - International Journal of Modern Physics B, 2021 - World Scientific
The movement of large amounts of ions (eg, potassium, sodium and calcium) in the nervous
system triggers time-varying electromagnetic fields that further regulate the firing activity of …

Complex regimes in electronic neuron-like oscillators with sigmoid coupling

NM Egorov, IV Sysoev, VI Ponomarenko… - Chaos, Solitons & …, 2022 - Elsevier
The new version of electronic implementation of FitzHugh–Nagumo neuron model was
proposed together with a new circuit for synapse (sigmoid activation function). The proposed …

[HTML][HTML] Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons

EN Davison, Z Aminzare, B Dey… - … Journal of Nonlinear …, 2019 - pubs.aip.org
We study the dynamics of a low-dimensional system of coupled model neurons as a step
towards understanding the vastly complex network of neurons in the brain. We analyze the …

The role of individual neuron ion conductances in the synchronization processes of neuron networks

BRR Boaretto, C Manchein, TL Prado, SR Lopes - Neural Networks, 2021 - Elsevier
The partial phase synchronization (sometimes called cooperation) of neurons is
fundamental for the understanding of the complex behavior of the brain. The lack or the …

Dynamical analysis of the Hindmarsh–Rose neuron with time delays

S Lakshmanan, CP Lim, S Nahavandi… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
This brief is mainly concerned with a series of dynamical analyses of the Hindmarsh-Rose
(HR) neuron with state-dependent time delays. The dynamical analyses focus on stability …