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 …

Dynamics of a memristive FitzHugh–Rinzel neuron model: application to information patterns

ZT Njitacke, S Parthasarathy, CN Takembo… - The European Physical …, 2023 - Springer
In this work, a memristive FitzHugh–Rinzel (mFHR) neuron prototype is introduced and
investigated. The memristive device is exploited to simulate the impact of a magnetic …

Effect of mobility in the rock-paper-scissor dynamics with high mortality

S Islam, A Mondal, M Mobilia, S Bhattacharyya, C Hens - Physical Review E, 2022 - APS
In the evolutionary dynamics of a rock-paper-scissor model, the effect of natural death plays
a major role in determining the fate of the system. Coexistence, being an unstable fixed point …

Switching motion analysis and synchronization control of a locally active memristive neuron model

Y Ren, L Zhang, X An, J Zhang - Physica Scripta, 2023 - iopscience.iop.org
In this paper, a new four-dimensional HR neuron model is developed by means of injecting
external alternating current and introducing a locally active memristor to simulate the …

Multiple bifurcations of a time-delayed coupled FitzHugh–Rinzel neuron system with chemical and electrical couplings

D Hu, L Ma, Z Song, Z Zheng, L Cheng, M Liu - Chaos, Solitons & Fractals, 2024 - Elsevier
In this paper, a time-delayed coupled FitzHugh–Rinzel neuron system (two neurons) with
electrical and chemical couplings is discussed. First, when choosing different strengths of …

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 …

Stability and Bifurcation Analyses of the FitzHugh–Rinzel Model with Time Delay in a Random Network

D Yi, Y Zheng, Q Zeng - International Journal of Bifurcation and …, 2023 - World Scientific
Due to the finite speed of signal transmission, time delay is a common phenomenon in
neuronal systems. The spatiotemporal dynamics of the FitzHugh–Rinzel model with time …

The generation of diverse traveling pulses and its solution scheme in an excitable slow-fast dynamics

A Mondal, A Mondal, MA Aziz-Alaoui… - … Journal of Nonlinear …, 2022 - pubs.aip.org
In this article, we report on the generation and propagation of traveling pulses in a
homogeneous network of diffusively coupled, excitable, slow-fast dynamical neurons. The …

Dynamic analysis of a slow-fast oscillator based on a coupled Duffing memristive system

M Kountchou Noube, VR Folifack Signing… - International Journal of …, 2023 - Springer
The dynamic natural processes which occur in the world terrestrial system are highly
nonlinear and exhibit unpredictable oscillations and behaviors. One way to imitate and …

Dynamics Analysis and Intermittent Energy Feedback Control of m‐HR Neuron Model under Electromagnetic Induction

J Peng, S Li - Complexity, 2022 - Wiley Online Library
It is of great practical significance to fully reveal the global discharge characteristics of
neurons in electromagnetic environment and design effective energy feedback strategy for …