The effects of symmetry breaking on the dynamics of an inertial neural system with a non-monotonic activation function: Theoretical study, asymmetric multistability …

BFBA Boya, B Ramakrishnan, JY Effa, J Kengne… - Physica A: Statistical …, 2022 - Elsevier
Multistability and symmetry breaking have been significantly investigated recently. In this
paper, we study the effects of symmetry breaking on the behavior of a particular class of …

Energy-efficient firing patterns with sparse bursts in the Chay neuron model

F Zhu, R Wang, K Aihara, X Pan - Nonlinear Dynamics, 2020 - Springer
The energy efficiency of neural signal transmission is thought to be an important constraint
in the nervous system. It is generally measured as the energy consumed per unit of …

Firing activities in a second-order memristor-based Hindmarsh-Rose neuron

Y Li, F Jiang - Chinese Journal of Physics, 2024 - Elsevier
Memristor-based neuron models can effectively mimic firing activity of biological neurons
and have attracted extensive attention. The firing activity of neurons is affected by complex …

Chemical synaptic multiplexing enhances rhythmicity in neuronal networks

S Kundu, S Majhi, D Ghosh - Nonlinear Dynamics, 2019 - Springer
Real-world networks are rarely isolated; rather, they constitute a large number of elements
interacting through complex topologies and oscillation is essential for their proper …

Multivariable coupling and synchronization in complex networks

F Nazarimehr, S Panahi, M Jalili, M Perc… - Applied Mathematics …, 2020 - Elsevier
Synchronization in complex networks is an evergreen subject with numerous applications in
biological, social, and technological systems. We here study whether a transition from a …

Dynamical response of a neuron–astrocyte coupling system under electromagnetic induction and external stimulation

ZX Yuan, PH Feng, MM Du, Y Wu - Chinese Physics B, 2020 - iopscience.iop.org
Previous studies have observed that electromagnetic induction can seriously affect the
electrophysiological activity of the nervous system. Considering the role of astrocytes in …

Four-dimensional Hindmarsh–Rose neuron model with hidden firing multistability based on two memristors

S Yan, Y Zhang, Y Ren, X Sun, E Wang, Z Song - Physica Scripta, 2022 - iopscience.iop.org
Since memristors can be used to describe electromagnetic induction effects, this paper
proposes a novel 4D HindMarsh-Rose (HR) neuron model based on two flux-controlled …

Phase synchronization and lock between memristive circuits under field coupling

S Ma, Z Yao, Y Zhang, J Ma - AEU-International Journal of Electronics and …, 2019 - Elsevier
The dynamics of nonlinear circuits becomes dependent on the initials setting when
memristor is included to design nonlinear circuits, and this memristive circuits can cause …

Different transitions of bursting and mixed-mode oscillations in Liénard system

SD Vijay, SL Kingston, K Thamilmaran - AEU-International Journal of …, 2019 - Elsevier
In this paper, we present the emergence of bursting oscillations, mixed-mode oscillations
and transient chaos in the forced Liénard system. The system exhibits intriguing dynamical …

Research progress on chaos, memory and neural network circuits based on memristor

C Wang, H LIN, J SUN, L ZHOU, C ZHOU, Q DENG - 电子与信息学报, 2020 - jeit.ac.cn
Memristor is the fourth basic electronic component in addition to resistor, capacitor and
inductor. It is a nonlinear device with memory characteristics, which can be used to design …