A locally active discrete memristor model and its application in a hyperchaotic map

M Ma, Y Yang, Z Qiu, Y Peng, Y Sun, Z Li, M Wang - Nonlinear Dynamics, 2022 - Springer
The continuous memristor is a popular topic of research in recent years, however, there is
rare discussion about the discrete memristor model, especially the locally active discrete …

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 …

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 …

Electromagnetic induction effects on electrical activity within a memristive Wilson neuron model

Q Xu, Z Ju, S Ding, C Feng, M Chen, B Bao - Cognitive Neurodynamics, 2022 - Springer
Neurons can exhibit abundant electrical activities due to physical effects of various
electrophysiology environments. The electromagnetic induction flows can be triggered by …

A discrete memristor model and its application in Hénon map

Y Peng, K Sun, S He - Chaos, Solitons & Fractals, 2020 - Elsevier
The realization of real memristor makes it be a very popular topic in recent years. However,
the topic about discrete memristor model is rarely discussed. In this paper, a discrete …

Memristor synapse-coupled memristive neuron network: synchronization transition and occurrence of chimera

H Bao, Y Zhang, W Liu, B Bao - Nonlinear Dynamics, 2020 - Springer
Memristor synapse can be used to characterize the electromagnetic induction effect
between two neurons that induces an action current by their membrane potential difference …

Coexisting behaviors of asymmetric attractors in hyperbolic-type memristor based Hopfield neural network

B Bao, H Qian, Q Xu, M Chen, J Wang… - Frontiers in Computational …, 2017 - frontiersin.org
A new hyperbolic-type memristor emulator is presented and its frequency-dependent
pinched hysteresis loops are analyzed by numerical simulations and confirmed by hardware …

Influences of electromagnetic radiation distribution on chaotic dynamics of a neural network

H Lin, C Wang - Applied Mathematics and Computation, 2020 - Elsevier
Electromagnetic radiation has an effect on the functional behavior of nervous system, and
appropriate electromagnetic radiation is helpful to treat some neurological diseases. In this …

Synchronization between neurons coupled by memristor

Y Xu, Y Jia, J Ma, A Alsaedi, B Ahmad - Chaos, Solitons & Fractals, 2017 - Elsevier
Synapse plays an important role in signal exchange and information encoding between
neurons. Electric and chemical synapses are often used to investigate the synchronization in …

Continuous non-autonomous memristive Rulkov model with extreme multistability

Q Xu, T Liu, CT Feng, H Bao, HG Wu… - Chinese Physics B, 2021 - iopscience.iop.org
Based on the two-dimensional (2D) discrete Rulkov model that is used to describe neuron
dynamics, this paper presents a continuous non-autonomous memristive Rulkov model. The …