Initial-offset-boosted coexisting hyperchaos in a 2D memristive Chialvo neuron map and its application in image encryption

Q Xu, L Huang, N Wang, H Bao, H Wu, M Chen - Nonlinear Dynamics, 2023‏ - Springer
Designing a low-dimensional discrete map to generate chaotic sequence with the properties
of high randomness and without chaos degradation is an attractive but challenging issue …

Firing pattern in a memristive Hodgkin–Huxley circuit: Numerical simulation and analog circuit validation

Q Xu, Y Wang, B Chen, Z Li, N Wang - Chaos, Solitons & Fractals, 2023‏ - Elsevier
Spiking firing patterns and their hardware implementation can assist us in exploring spike-
based applications. The classical Hodgkin–Huxley circuit can generate spiking firing …

Dynamical analysis of an improved FitzHugh-Nagumo neuron model with multiplier-free implementation

Q Xu, X Chen, B Chen, H Wu, Z Li, H Bao - Nonlinear Dynamics, 2023‏ - Springer
The cubic-polynomial nonlinearity with N-shaped curve plays a crucial role in generating
abundant electrical activities for the original FitzHugh-Nagumo (FHN) neuron model. The …

Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020‏ - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

Mathematical modeling of neuron model through fractal-fractional differentiation based on maxwell electromagnetic induction: application to neurodynamics

KA Abro, A Atangana - Neural Computing and Applications, 2024‏ - Springer
The electrical activities of the reliable neuron models have different responses within
intrinsic biophysical effects and can functionalize for asymmetric coexisting electrical …

Time delayed chemical synapses and synchronization in multilayer neuronal networks with ephaptic inter-layer coupling

M Shafiei, S Jafari, F Parastesh, M Ozer… - … in Nonlinear Science …, 2020‏ - Elsevier
In this paper, a three-layer neuronal network is studied to consider different complex
connections between the neurons. In the nervous system, the communication between the …

Generating multi-scroll chaotic attractor in a three-dimensional memristive neuron model

R Ding, H Bao, N Wang, H Wu, Q Xu - Chinese Journal of Physics, 2024‏ - Elsevier
The tabu learning single neuron model with external stimulus is a significant model for
describing the firing activities of neurons. The current generated by a magnetic-controlled …

A single neuron model with memristive synaptic weight

M Hua, H Bao, H Wu, Q Xu, B Bao - Chinese Journal of Physics, 2022‏ - Elsevier
Synaptic connection weight in neuron is adaptive and memristive synaptic weight can be
taken as a changeable connection weight. To exhibit its kinetic effect, a single neuron model …

Electromagnetic radiation induced non-chaotic behaviors in a Wilson neuron model

Z Ju, Y Lin, B Chen, H Wu, M Chen, Q Xu - Chinese Journal of Physics, 2022‏ - Elsevier
Electromagnetic radiation can impact the neuron firing activities. To disclose its dynamics
effect, a memristor-based three-dimensional (3D) non-autonomous Wilson neuron model is …

Dynamical behavior and network analysis of an extended Hindmarsh–Rose neuron model

K Rajagopal, AJM Khalaf, F Parastesh, I Moroz… - Nonlinear …, 2019‏ - Springer
In this paper, the extended Hindmarsh–Rose neuron model, which considers the slow
intracellular exchange of calcium ions between its store and the cytoplasm, is studied. The …