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 …

Emergence of hidden dynamics in different neuronal network architecture with injected electromagnetic induction

RK Upadhyay, SK Sharma, A Mondal… - Applied Mathematical …, 2022 - Elsevier
The diverse firing responses in a single neuron model as well as in a neuronal network play
a major role in understanding the collective neuronal dynamics. In this paper, we consider …

Predicting bursting in a complete graph of mixed population through reservoir computing

S Saha, A Mishra, S Ghosh, SK Dana, C Hens - Physical Review Research, 2020 - APS
We report our investigation and success story, to an extent, on the prediction of spiking and
bursting dynamics in globally coupled networks, using echo state network/reservoir …

Emergence of diverse dynamical responses in a fractional-order slow–fast pest–predator model

S Das, SK Mahato, A Mondal, E Kaslik - Nonlinear Dynamics, 2023 - Springer
To explore the impact of pest-control strategy on integrated pest management, a three-
dimensional (3D) fractional-order slow–fast prey–predator model is introduced in this article …

Emergent dynamics in fractional-order Wilson–Cowan neural network systems

A Mondal, E Kaslik, SK Sharma, C Chakraborty… - Chaos, Solitons & …, 2024 - Elsevier
The firing dynamics of excitable systems are critical to understand organized responses in
cortical networks. In this paper, we examine a fractional-order Wilson–Cowan (W–C) neural …

Emergence of spiral and antispiral patterns and its CGLE analysis in leech-heart interneuron model with electromagnetic induction

RK Upadhyay, D Pradhan, SK Sharma… - Applied Mathematical …, 2024 - Elsevier
Neurons can exhibit various rhythmic activities such as bursting, spiking, and quiescent
states when exposed to external input current stimulus. In this paper, a model of medicinal …

[HTML][HTML] 含时滞和Ih 流的神经元的同步放电行为

关利南, 张新景, 申建伟 - 动力学与控制学报, 2023 - dlxykzxb.cnjournals.net
摘要本文研究了时滞和超极化激活的阳离子流I h 对抑制耦合的水蛭神经元的同步放电行为的
调控. 通过数值仿真揭示了时滞, 耦合强度和I h 流都能诱发丰富的同步转迁行为 …

Impact of Diffusion on synchronization pattern of epidemics in nonidentical metapopulation networks

A Roy, U Shekhar, A Bose, S Ghosh, S Nannuru… - arXiv preprint arXiv …, 2024 - arxiv.org
In a prior study, a novel deterministic compartmental model known as the SEIHRK model
was introduced, shedding light on the pivotal role of test kits as an intervention strategy for …

Projetos de controladores robustos, modelo reduzido e identificação com condições iniciais não nulas para sistemas dinâmicos de ordem fracionária

H Kuzminskas - 2023 - repositorio.unesp.br
Esse trabalho aborda os seguintes tópicos em sistemas lineares de ordem fracionária:
análise de estabilidade, projetos de controladores robustos, modelo reduzido e …

Diverse electrical responses in a network of fractional-order conductance-based excitable Morris-Lecar systems

SK Sharma, A Mondal, E Kaslik, C Hens… - Scientific Reports, 2023 - nature.com
The diverse excitabilities of cells often produce various spiking-bursting oscillations that are
found in the neural system. We establish the ability of a fractional-order excitable neuron …