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 …

Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines

D Cebrián-Lacasa, P Parra-Rivas, D Ruiz-Reynés… - Physics Reports, 2024 - Elsevier
Abstract The FitzHugh–Nagumo equation, originally conceived in neuroscience during the
1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its …

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 new multi-scroll Chua's circuit with composite hyperbolic tangent-cubic nonlinearity: Complex dynamics, Hardware implementation and Image encryption …

F Yu, H Shen, Z Zhang, Y Huang, S Cai, S Du - Integration, 2021 - Elsevier
In this paper, a new method for generating multi-scroll chaotic attractors via constructing a
compound hyperbolic tangent-cubic nonlinear function in canonical Chua's circuit is …

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 …

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 …

Firing mechanism based on single memristive neuron and double memristive coupled neurons

H Shen, F Yu, C Wang, J Sun, S Cai - Nonlinear Dynamics, 2022 - Springer
Memristive neurons and memristive neural networks constructed based on memristors have
important research significance for revealing the mystery of the brain. This paper proposes a …

Bifurcations to bursting oscillations in memristor-based FitzHugh-Nagumo circuit

B Bao, L Chen, H Bao, M Chen, Q Xu - Chaos, Solitons & Fractals, 2024 - Elsevier
To characterize neuronal firing activities and elucidate its bifurcation mechanisms, a
memristor-based FitzHugh-Nagumo (FHN) circuit is designed based on the FHN circuit …

Memristor-induced mode transitions and extreme multistability in a map-based neuron model

B Bao, J Hu, J Cai, X Zhang, H Bao - Nonlinear Dynamics, 2023 - Springer
Because of the advent of discrete memristor, memristor effect in discrete map has become
the important subject deserving discussion. To this end, this paper constructs a memristor …

[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 …