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 …

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 …

A review and guidance for pattern selection in spatiotemporal system

C Wang, J Ma - International Journal of Modern Physics B, 2018 - World Scientific
Pattern estimation and selection in media can give important clues to understand the
collective response to external stimulus by detecting the observable variables. Both reaction …

Reproduce the biophysical function of chemical synapse by using a memristive synapse

F Wu, Y Guo, J Ma - Nonlinear Dynamics, 2022 - Springer
Dynamical modeling of nervous systems is of fundamental importance in many scientific
fields containing the topics relative to computational neuroscience and biophysics. Many …

Synchronization transitions in a discrete memristor-coupled bi-neuron model

K Li, B Bao, J Ma, M Chen, H Bao - Chaos, Solitons & Fractals, 2022 - Elsevier
When synaptic connection is created to couple two neurons, the electromagnetic induction
current is unavoidably induced, which can be imitated by a flux-controlled memristor. To …

Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons

C Chen, J Chen, H Bao, M Chen, B Bao - Nonlinear Dynamics, 2019 - Springer
When possessing a potential difference between two neurons, an electromagnetic induction
current appears in the Hopfield neural network (HNN), which can be emulated by a flux …

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 …

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 …

Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme

R Vadivel, P Hammachukiattikul, N Gunasekaran… - Chaos, Solitons & …, 2021 - Elsevier
This article addresses the investigation of strict dissipativity synchronization for a class of
static neural networks under an event-triggered scheme. An event-triggered scheme is …

Complex dynamics and initial state effects in a two-dimensional sine-bounded memristive map

B Bao, Q Zhao, X Yu, H Wu, Q Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Recently, discrete memristor maps can be directly constructed using discrete memristors.
However, some discrete memristors with reciprocal polynomial memristances cannot be …