The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction

X An, S Qiao - Chaos, Solitons & Fractals, 2021 - Elsevier
Researching the discharge patterns of neurons under electromagnetic induction is of great
practical significance for understanding the complex nervous system. In this paper, the …

Electrical mode transition of hybrid neuronal model induced by external stimulus and electromagnetic induction

Y Liu, J Ma, Y Xu, Y Jia - International Journal of Bifurcation and …, 2019 - World Scientific
Based on a hybrid neuronal model of the Hindmarsh–Rose (HR) model (the slow negative
feedback dynamics) with the Wilson model (the fast variable dynamics), the discharge …

Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation

H Lin, C Wang, Y Tan - Nonlinear Dynamics, 2020 - Springer
Biological nervous system function is closely related to its dynamical behaviors, and some
dynamical phenomena observed in biological systems can be detected in the simplified …

Complex bifurcation analysis and synchronization optimal control for Hindmarsh–Rose neuron model under magnetic flow effect

MK Wouapi, BH Fotsin, EBM Ngouonkadi… - Cognitive …, 2021 - Springer
In this contribution, the complex behaviour of the Hindmarsh–Rose neuron model under
magnetic flow effect (mHR) is investigated in terms of bifurcation diagrams, Lyapunov …

Mode transition in electrical activities of neuron driven by high and low frequency stimulus in the presence of electromagnetic induction and radiation

M Ge, Y Jia, Y Xu, L Yang - Nonlinear Dynamics, 2018 - Springer
Abstract The Hindmarsh–Rose (HR) neuron model has been improved to investigate the
complex electrophysiological and various physical phenomena at the level of single cell, for …

Bifurcation analysis of a modified FitzHugh-Nagumo neuron with electric field

X Zhang, F Min, Y Dou, Y Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper is devoted to investigating the analytical solutions of the modified FitzHugh-
Nagumo (FHN) neuron model with external electric fields through by the discrete mapping …

AC-induced coexisting asymmetric bursters in the improved Hindmarsh–Rose model

B Bao, A Hu, Q Xu, H Bao, H Wu, M Chen - Nonlinear Dynamics, 2018 - Springer
In this paper, an external alternating current (AC) is injected into the Hindmarsh–Rose (HR)
neuron model to imitate the periodic stimulus effect on the membrane potential in the axon of …

Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation

F Yu, H Shen, Z Zhang, Y Huang, S Cai, S Du - Chaos, Solitons & Fractals, 2021 - Elsevier
This article studies the interesting dynamics of a small neural network with three neurons
under electromagnetic radiation. The electromagnetic radiation strength can change the …

Chaotic dynamics in a neural network with different types of external stimuli

H Lin, C Wang, W Yao, Y Tan - Communications in Nonlinear Science and …, 2020 - Elsevier
Biological nervous system is very sensitive to external disturbances, and appropriate
stimulus is beneficial for improving neural function in the neural system. In this paper, the …

Three‐Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors

B Bao, A Hu, H Bao, Q Xu, M Chen, H Wu - Complexity, 2018 - Wiley Online Library
Since the electrical activities of neurons are closely related to complex electrophysiological
environment in neuronal system, a novel three‐dimensional memristive Hindmarsh–Rose …