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 …

Lower-dimensional simple chaotic systems with spectacular features

Z Wang, A Ahmadi, H Tian, S Jafari, G Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation

S Ding, N Wang, H Bao, B Chen, H Wu, Q Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Electromagnetic induction current is generated between the adjacent neurons in neural
network caused by the existence of membrane potential difference. Memristor is the fourth …

Memristor initial-offset boosting and its bifurcation mechanism in a memristive FitzHugh-Nagumo neuron model with hidden dynamics

X Chen, N Wang, Y Wang, H Wu, Q Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Electromagnetic induction plays a vital role in impacting the neuron dynamics, since the
electromagnetic induction is triggered alongside with the complex interaction of membrane …

Two-memristor-based chaotic system with infinite coexisting attractors

Q Lai, Z Wan, LK Kengne, PDK Kuate… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Chaotic systems with memristor are favored by academia because of diversity of dynamics.
This brief reports a novel two-memristor-based 4D chaotic system. Numerical simulation …

Hidden attractors in Chua circuit: mathematical theory meets physical experiments

N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023 - Springer
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …

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 …

Experimental observation of hidden Chua's attractor

N Wang, D Xu, NV Kuznetsov, H Bao, M Chen… - Chaos, Solitons & …, 2023 - Elsevier
Eleven years have passed since the discovery of the first chaotic hidden attractor in Chua
system with piecewise-linear nonlinearity. Experimental observation of such attractor is still a …

Generating grid chaotic sea from system without equilibrium point

N Wang, G Zhang, NV Kuznetsov, H Li - Communications in Nonlinear …, 2022 - Elsevier
The dynamical system without equilibrium point is considered having hidden dynamics. It is
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …

Dynamical Behaviors of an SIR Epidemic Model with Discrete Time

B Li, Z Eskandari, Z Avazzadeh - Fractal and Fractional, 2022 - mdpi.com
Analytically and numerically, the study examines the stability and local bifurcations of a
discrete-time SIR epidemic model. For this model, a number of bifurcations are studied …