Biophysical neurons, energy, and synapse controllability: a review

J Ma - Journal of Zhejiang University-Science A, 2023 - Springer
Diffusive intracellular and extracellular ions induce a gradient electromagnetic field that
regulates membrane potential, and energy injection from external stimuli breaks the energy …

Clarify the physical process for fractional dynamical systems

P Zhou, J Ma, J Tang - Nonlinear Dynamics, 2020 - Springer
Dynamics in fractional order systems has been discussed extensively for presenting a
possible guidance in the field of applied mathematics and interdisciplinary science. Within …

A discrete Chialvo–Rulkov neuron network coupled with a novel memristor model: Design, Dynamical analysis, DSP implementation and its application

H Cao, Y Wang, S Banerjee, Y Cao, J Mou - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, a novel discrete flux-controlled memristor model combining square and cosine
function is proposed and its properties are analyzed. Then, the discrete memristor is used to …

Global dynamics of a fractional-order SIR epidemic model with memory

PA Naik - International journal of biomathematics, 2020 - World Scientific
In this paper, an investigation and analysis of a nonlinear fractional-order SIR epidemic
model with Crowley–Martin type functional response and Holling type-II treatment rate are …

[HTML][HTML] The role of prostitution on HIV transmission with memory: A modeling approach

PA Naik, M Yavuz, J Zu - Alexandria Engineering Journal, 2020 - Elsevier
HIV is a topic that has been greatly discussed and researched due to its impact on human
population. Many campaigns have been put into place, and people have been made aware …

Chaotic resonance in Izhikevich neural network motifs under electromagnetic induction

G Wang, L Yang, X Zhan, A Li, Y Jia - Nonlinear Dynamics, 2022 - Springer
Chaotic resonance (CR) is the response of a nonlinear system to weak signals enhanced by
internal or external chaotic activity (such as the signal derived from Lorenz system). The …

[HTML][HTML] Firing activities of a fractional-order FitzHugh-Rinzel bursting neuron model and its coupled dynamics

A Mondal, SK Sharma, RK Upadhyay, A Mondal - Scientific reports, 2019 - nature.com
Fractional-order dynamics of excitable systems can be physically described as a memory
dependent phenomenon. It can produce diverse and fascinating oscillatory patterns for …

Interlayer and intralayer synchronization in multiplex fractional-order neuronal networks

B Yan, F Parastesh, S He, K Rajagopal, S Jafari… - Fractals, 2022 - World Scientific
Fractional-order models describing neuronal dynamics often exhibit better compatibility with
diverse neuronal firing patterns that can be observed experimentally. Due to the overarching …

Synchronization and FPGA realization of fractional-order Izhikevich neuron model

MF Tolba, AH Elsafty, M Armanyos, LA Said… - Microelectronics …, 2019 - Elsevier
This paper generalizes the Izhikevich neuron model in the fractional-order domain for better
modeling of neuron dynamics. Accurate and computationally efficient numerical techniques …

On numerical approximations of fractional-order spiking neuron models

AM AbdelAty, ME Fouda, AM Eltawil - Communications in Nonlinear …, 2022 - Elsevier
Fractional-order spiking neuron models can enrich model flexibility and dynamics due to the
extra degrees of freedom. This paper aims to study the effects of applying four different …