[HTML][HTML] A review of chaotic systems based on memristive Hopfield neural networks

H Lin, C Wang, F Yu, J Sun, S Du, Z Deng, Q Deng - Mathematics, 2023 - mdpi.com
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …

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 …

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 …

Dynamics analysis, FPGA realization and image encryption application of a 5D memristive exponential hyperchaotic system

F Yu, S Xu, X Xiao, W Yao, Y Huang, S Cai, B Yin, Y Li - Integration, 2023 - Elsevier
The exponential function is one of the basic elementary functions, which plays an
irreplaceable role in mathematics and is also widely used in practical activities such as life …

Extreme multistability and extreme events in a novel chaotic circuit with hidden attractors

A Ahmadi, S Parthasarathy, N Pal… - … Journal of Bifurcation …, 2023 - World Scientific
Extreme multistable systems can show vibrant dynamical properties and infinitely many
coexisting attractors generated by changing the initial conditions while the system and its …

[HTML][HTML] Dynamic analysis and audio encryption application in IoT of a multi-scroll fractional-order memristive Hopfield neural network

F Yu, Q Yu, H Chen, X Kong, AAM Mokbel, S Cai… - Fractal and …, 2022 - mdpi.com
Fractional-order chaotic systems are widely used in the field of encryption because of its
initial value sensitivity and historical memory. In this paper, the fractional-order definition of …

[HTML][HTML] Dynamic analysis and application in medical digital image watermarking of a new multi-scroll neural network with quartic nonlinear memristor

F Yu, H Chen, X Kong, Q Yu, S Cai, Y Huang… - The European Physical …, 2022 - Springer
Memristor is widely used in various neural bionic models because of its excellent
characteristics in biological neural activity simulation. In this paper, a piecewise nonlinear …

[HTML][HTML] A 6D fractional-order memristive Hopfield neural network and its application in image encryption

F Yu, X Kong, H Chen, Q Yu, S Cai, Y Huang… - Frontiers in …, 2022 - frontiersin.org
This paper proposes a new memristor model and uses pinched hysteresis loops (PHL) to
prove the memristor characteristics of the model. Then, a new 6D fractional-order memristive …

[HTML][HTML] Multistable dynamics and control of a new 4D memristive chaotic Sprott B system

R Ramamoorthy, K Rajagopal, GD Leutcho… - Chaos, Solitons & …, 2022 - Elsevier
This work proposes and investigates the dynamic behavior of a new memristive chaotic
Sprott B system. One of the interesting features of this system is that it has a bias term that …

A non-autonomous mega-extreme multistable chaotic system

A Ahmadi, S Parthasarathy, H Natiq, S Jafari… - Chaos, Solitons & …, 2023 - Elsevier
Megastable and extreme multistable systems comprise two major new branches of
multistable systems. So far, they have been studied separately in various chaotic systems …