Autapse-induced firing patterns transitions in the Morris–Lecar neuron model

X Song, H Wang, Y Chen - Nonlinear Dynamics, 2019 - Springer
In 1948, Hodgkin identified three firing patterns of a single neuron in response to increasing
the external DC input. In this work, we investigated the responses of a single neuron with an …

Coherence resonance and stochastic synchronization in a small-world neural network: an interplay in the presence of spike-timing-dependent plasticity

ME Yamakou, EM Inack - Nonlinear Dynamics, 2023 - Springer
Coherence resonance (CR), stochastic synchronization (SS), and spike-timing-dependent
plasticity (STDP) are ubiquitous dynamical processes in biological neural networks. Whether …

Periodic soliton trains and informational code structures in an improved soliton model for biomembranes and nerves

G Fongang Achu, SE Mkam Tchouobiap… - Physical Review E, 2018 - APS
Many experiments have shown that the action potential propagating in a nerve fiber is an
electromechanical density pulse. A mathematical model proposed by Heimburg and …

Breathing pulses in the damped-soliton model for nerves

G Fongang Achu, FM Moukam Kakmeni, AM Dikande - Physical Review E, 2018 - APS
Unlike the Hodgkin-Huxley picture in which the nerve impulse results from ion exchanges
across the cell membrane through ion-gate channels, in the so-called soliton model the …

Reduced-order adaptive synchronization in a chaotic neural network with parameter mismatch: a dynamical system versus machine learning approach

J Kobiolka, J Habermann, ME Yamakou - Nonlinear Dynamics, 2024 - Springer
This paper addresses the reduced-order synchronization problem between two chaotic
memristive Hindmarsh-Rose (HR) neurons of different orders using two distinct methods …

Influence of Raman gain on dynamics of spatiotemporal chaos in optical ring microresonators

NO Nfor, B Nana - Optics Communications, 2024 - Elsevier
We theoretically investigate on the evolution of spatiotemporal chaos under the influence of
Raman gain, in an optical ring microresonator. The dynamics of the system is shown to be …

Synchronization in STDP-driven memristive neural networks with time-varying topology

ME Yamakou, M Desroches, S Rodrigues - Journal of Biological Physics, 2023 - Springer
Synchronization is a widespread phenomenon in the brain. Despite numerous studies, the
specific parameter configurations of the synaptic network structure and learning rules …

Reduced-order adaptive synchronization in a chaotic neural network with parameter mismatch: A dynamical system vs. machine learning approach

J Kobiolka, ME Yamakou - arXiv preprint arXiv:2408.16155, 2024 - arxiv.org
In this paper, we address the reduced-order synchronization problem between two chaotic
memristive Hindmarsh-Rose (HR) neurons of different orders using two distinct methods …

Stability of coupled solitary wave in biomembranes and nerves

GF Achu, FM Kakmeni - arXiv preprint arXiv:1911.05993, 2019 - arxiv.org
In this work, we consider the electromechanical density pulse as a coupled solitary waves
represented by a longitudinal compression wave and an out-of-plane transversal wave (ie …