Dynamic response of the e-HR neuron model under electromagnetic induction
S Qiao, XL An - Pramana, 2021 - Springer
Due to the fluctuation of membrane potential of neuron, there are complex time-varying
electromagnetic fields in nervous systems, and the exciting electromagnetic field will further …
electromagnetic fields in nervous systems, and the exciting electromagnetic field will further …
Periodically kicked feedforward chains of simple excitable FitzHugh–Nagumo neurons
B Ambrosio, SM Mintchev - Nonlinear Dynamics, 2022 - Springer
This article communicates results on regular depolarization cascades in periodically kicked
feedforward chains of excitable two-dimensional FitzHugh–Nagumo systems driven by …
feedforward chains of excitable two-dimensional FitzHugh–Nagumo systems driven by …
Non-trivial dynamics in the Fizhugh–Rinzel model and non-homogeneous oscillatory-excitable reaction-diffusions systems
Simple Summary This article provides original numerical and mathematical insights about
the FHR model and non-homogeneous FitzHugh–Nagumo reaction-diffusion systems …
the FHR model and non-homogeneous FitzHugh–Nagumo reaction-diffusion systems …
Synchronization in a Three Level Network of All-to-All Periodically Forced Hodgkin–Huxley Reaction–Diffusion Equations
B Ambrosio, MA Aziz-Alaoui, A Oujbara - Mathematics, 2024 - mdpi.com
This article focuses on the analysis of dynamics emerging in a network of Hodgkin–Huxley
reaction–diffusion equations. The network has three levels. The three neurons in level 1 …
reaction–diffusion equations. The network has three levels. The three neurons in level 1 …
Pattern formation in the Fitzhugh–Nagumo neuron with diffusion relaxation
We examine the spatiotemporal dynamics of the Fitzhugh-nagumo neuron taking into
account the effects of relaxation induced by finite speeds of propagation. Stability analysis …
account the effects of relaxation induced by finite speeds of propagation. Stability analysis …
Synchronization in a Three Level Network of All-to-All Quasi-Periodically Forced Hodgkin-Huxley Reaction-Diffusion Equations
B Ambrosio, MA Aziz-Alaoui, A Oujbara - 2024 - preprints.org
Synchronization in a Three Level Network of All-to-All Quasi-Periodically Forced Hodgkin-Huxley
Reaction- Diffusion Equations Page 1 Article Not peer-reviewed version Synchronization in a …
Reaction- Diffusion Equations Page 1 Article Not peer-reviewed version Synchronization in a …
Qualitative analysis of certain reaction-diffusion systems of the FitzHugh-Nagumo type
B Ambrosio - arXiv preprint arXiv:1903.05754, 2019 - arxiv.org
This article aims to provide insights into the qualitative analysis of some nonlinear Reaction-
Diffusion (RD) systems arising in Neuroscience. We first introduce a non-homogeneous …
Diffusion (RD) systems arising in Neuroscience. We first introduce a non-homogeneous …