Review on chaotic dynamics of memristive neuron and neural network

H Lin, C Wang, Q Deng, C Xu, Z Deng, C Zhou - Nonlinear Dynamics, 2021 - Springer
The study of dynamics on artificial neurons and neuronal networks is of great significance to
understand brain functions and develop neuromorphic systems. Recently, memristive …

[HTML][HTML] A review of chaotic systems based on memristive Hopfield neural networks

H Lin, C Wang, F Yu, J Sun, S Du, Z Deng, Q Deng - Mathematics, 2023 - mdpi.com
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …

Extreme multistability and phase synchronization in a heterogeneous bi-neuron Rulkov network with memristive electromagnetic induction

Q Xu, T Liu, S Ding, H Bao, Z Li, B Chen - Cognitive Neurodynamics, 2023 - Springer
Memristive electromagnetic induction effect has been widely explored in bi-neuron network
with homogeneous neurons, but rarely in bi-neuron network with heterogeneous ones. This …

Memristor initial-offset boosting and its bifurcation mechanism in a memristive FitzHugh-Nagumo neuron model with hidden dynamics

X Chen, N Wang, Y Wang, H Wu, Q Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Electromagnetic induction plays a vital role in impacting the neuron dynamics, since the
electromagnetic induction is triggered alongside with the complex interaction of membrane …

Hidden bursting firings and bifurcation mechanisms in memristive neuron model with threshold electromagnetic induction

H Bao, A Hu, W Liu, B Bao - IEEE transactions on neural …, 2019 - ieeexplore.ieee.org
Memristors can be employed to mimic biological neural synapses or to describe
electromagnetic induction effects. To exhibit the threshold effect of electromagnetic …

A review for dynamics in neuron and neuronal network

J Ma, J Tang - Nonlinear Dynamics, 2017 - Springer
Abstract The biological Hodgkin–Huxley model and its simplified versions have confirmed its
effectiveness for recognizing and understanding the electrical activities in neurons, and …

Firing multistability in a locally active memristive neuron model

H Lin, C Wang, Y Sun, W Yao - Nonlinear Dynamics, 2020 - Springer
The theoretical, numerical and experimental demonstrations of firing dynamics in isolated
neuron are of great significance for the understanding of neural function in human brain. In …

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 …

A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability

S Zhang, J Zheng, X Wang, Z Zeng - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a novel no-equilibrium Hindmarsh-Rose (HR) neuron model with memristive
electromagnetic induction is proposed. This memristive HR neuron model exhibits complex …

Regulating memristive neuronal dynamical properties via excitatory or inhibitory magnetic field coupling

Z Wen, C Wang, Q Deng, H Lin - Nonlinear dynamics, 2022 - Springer
The ion exchange in neurons can trigger time-varying magnetic fields. According to the
superposition field principle, each neuron is exposed to the integrated magnetic field …