Stability analysis and Hopf bifurcation based on time delay neurons under electromagnetic fields

L Wei, J Zhang, X An, M Nan, S Qiao - International Journal of …, 2021 - World Scientific
Neurons contain a large number of ions inside and outside the cell, and the transmembrane
currents formed by the movement of these ions cause membrane potential fluctuations and …

Cluster synchronization and firing rate oscillation induced by time delay in random network of adaptive exponential integrate-and-fire neural system

L Lu, L Yang, X Zhan, Y Jia - The European Physical Journal B, 2020 - Springer
Both time delay and coupling form are the most important factors in neural networks. The
properties of firing rate oscillation and cluster synchronization induced by time delay are …

一类新的光电神经元模型及其动力学

Y Liu, W Xu, J Ma, F Alzahrani, A Hobiny, AY Liu… - Frontiers, 2020 - jzus.zju.edu.cn
生物神经元可感知多种外界刺激信号, 这些信号可被转化为等效的电流来驱动神经元. 因此,
神经元的膜电位可通过外刺激调控呈现各类放电模式. 实际上, 可靠的神经元模型应考虑内在的 …

Coexisting firing analysis in a FitzHugh–Nagumo neuron system

W Shi, F Min, J Zhu - Nonlinear Dynamics, 2024 - Springer
Dynamics analysis of neuronal models has been attracting more attention, which may offer a
valuable perspective for studying neurons. To address this issue, the improved FitzHugh …

Effects of temporally correlated noise on coherence resonance chimeras in FitzHugh-Nagumo neurons

Y Xu, L Lu, M Ge, Y Jia - The European Physical Journal B, 2019 - Springer
Chimera state in neuronal network means the coexistence of coherent and incoherent firing
patterns. In this paper, the FitzHugh-Nagumo (FHN) neuronal model is employed to …

Pattern selection in coupled neurons under high-low frequency electric field

CN Takembo, ME Sone - Heliyon, 2021 - cell.com
Biological neurons exposed to an external electric field can induce polarization and charge
fluctuation. Indeed, the exchange of calcium, sodium and potassium ions across the cell …

Phase synchronization between nonlinear circuits by capturing electromagnetic field energy

C Wang, Z Yao, W Xu, G Ren - Modern Physics Letters B, 2020 - World Scientific
Smart nonlinear circuits can be tamed to reproduce the main dynamical properties in neural
activities and thus neural circuits are built to estimate the occurrence of multiple modes in …

Dynamics and Hamiltonian energy analysis of a novel memristor coupled Josephson junction phototub chaotic circuit

L Xiong, L Qi, Q Wang, H Guan, J Wang - The European Physical Journal …, 2024 - Springer
As a circuit component with memory function, memristors have significant nonlinear physical
characteristics and are widely used in the study of chaotic circuits and artificial neural …

A Hénon-like map inspired by the generalized discrete-time FitzHugh–Nagumo model

F Zhan, S Liu - Nonlinear Dynamics, 2019 - Springer
The patterns of discharge activity are closely associated with the physiological manifestation
of neurons, and hence, it is particularly significant to understand the dynamic behavior of the …

Mode transition in a memristive dynamical system and its application in image encryption

Y Zhang, G Ren, A Hobiny, B Ahmad… - International Journal of …, 2020 - World Scientific
Chaotic systems can be used for secure communication and image encryption by applying a
variety of encryption algorithms. While most of the low-dimensional chaotic systems and …