A review for dynamics of collective behaviors of network of neurons

J Ma, J Tang - Science China Technological Sciences, 2015 - Springer
The nervous system is composed of a large number of neurons, and the electrical activities
of neurons can present multiple modes during the signal transmission between neurons by …

[PDF][PDF] A physical view of computational neurodynamics

J Ma, Z Yang, L Yang, J Tang - Journal of Zhejiang University …, 2019 - drive.google.com
The nervous system is made of a large number of neurons. Time-varying balance between
excitatory and inhibitory neurons is important to activate appropriate modes of electrical …

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 …

Model of electrical activity in a neuron under magnetic flow effect

M Lv, C Wang, G Ren, J Ma, X Song - Nonlinear dynamics, 2016 - Springer
The electric activities of neurons are dependent on the complex electrophysiological
condition in neuronal system, and it indicates that the complex distribution of …

Energy balance and synchronization via inductive-coupling in functional neural circuits

Y Xie, P Zhou, J Ma - Applied Mathematical Modelling, 2023 - Elsevier
A reliable functional neural circuit can estimate the information encoding and signal
exchange between neurons, and thus the recognition of electric activities in biological …

Multiple modes of electrical activities in a new neuron model under electromagnetic radiation

M Lv, J Ma - Neurocomputing, 2016 - Elsevier
Abstract The three-variable Hindmarsh–Rose model is improved to describe the dynamical
behaviors of neuronal activities with electromagnetic induction being considered, and the …

Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model

B Li, H Liang, Q He - Chaos, Solitons & Fractals, 2021 - Elsevier
In this article multiple and generic bifurcations of planar discrete-time Hindmarsh-Rose
oscillator are investigated in detail by bifurcation theory and numerical continuation …

[HTML][HTML] Estimate physical reliability in Hindmarsh-Rose neuron

Y Xie, Z Yao, G Ren, J Ma - Physics Letters A, 2023 - Elsevier
Reliable neural circuit can address the field energy in exact form and equivalent Hamilton
energy is obtained for theoretical models. Furthermore, the energy dependence on firing …

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 …

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 …