[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 …

Memristive electromagnetic induction effects on Hopfield neural network

C Chen, F Min, Y Zhang, B Bao - Nonlinear Dynamics, 2021 - Springer
Due to the existence of membrane potential differences, the electromagnetic induction flows
can be induced in the interconnected neurons of Hopfield neural network (HNN). To express …

Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption

Y Hu, Q Li, D Ding, L Jiang, Z Yang, H Zhang… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, a fractional-order chaotic circuit with different coupled memristors is
established. The dimensionality of the system is reduced by the flux-charge analysis method …

Four-wing hidden attractors with one stable equilibrium point

Q Deng, C Wang, L Yang - International Journal of Bifurcation and …, 2020 - World Scientific
Although multiwing hidden attractor chaotic systems have attracted a lot of interest, the
currently reported multiwing hidden attractor chaotic systems are either with no equilibrium …

Infinitely many coexisting conservative flows in a 4D conservative system inspired by LC circuit

N Wang, G Zhang, H Bao - Nonlinear Dynamics, 2020 - Springer
Conservative chaotic flows, a category of incompressible chaos, are usually generated from
dynamical systems without dissipation. The existing results on conservative chaos are …

Synthetic adaptive fuzzy disturbance observer and sliding-mode control for chaos-based secure communication systems

QD Nguyen, SC Huang - IEEE Access, 2021 - ieeexplore.ieee.org
This paper aims to present secure communication based on master and slave Lorenz
chaotic systems. To apply a form of the linear synchronization control method, the …

[HTML][HTML] Adaptive generalized synchronization between circuit and computer implementations of the Rössler system

A Karimov, A Tutueva, T Karimov, O Druzhina… - Applied Sciences, 2020 - mdpi.com
The synchronization between chaotic systems implemented in similar ways—eg, computer
models or circuits—is a well-investigated topic. Nevertheless, in many practical applications …

Disturbance observer-based linear matrix inequality for the synchronization of Takagi-Sugeno fuzzy chaotic systems

SC Huang, QD Nguyen, TJ Su - IEEE Access, 2020 - ieeexplore.ieee.org
This article presents a synchronization control method based on poles' placement,
disturbances, and uncertainty estimation (DUE) for a pair of Takagi-Sugeno fuzzy systems …

Initial value-related dynamical analysis of the memristor-based system with reduced dimensions and its chaotic synchronization via adaptive sliding mode control …

F Min, C Li, L Zhang, C Li - Chinese Journal of Physics, 2019 - Elsevier
The memristor-based chaotic system shows complex dynamical behaviors, which make it
have a broader prospect in the fields of image encryption and signal processing. In this …

Synchronization, circuit and secure communication implementation of a memristor-based hyperchaotic system using single input controller

J Luo, S Qu, Y Chen, X Chen, Z Xiong - Chinese Journal of Physics, 2021 - Elsevier
In this paper, we investigate a circuit implementation of memristor-based chaotic
synchronization with a single input controller. Firstly, based on the cubic function model of …