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 …

Symmetric strange attractors: a review of symmetry and conditional symmetry

C Li, Z Li, Y Jiang, T Lei, X Wang - Symmetry, 2023 - mdpi.com
A comprehensive review of symmetry and conditional symmetry is made from the core
conception of symmetry and conditional symmetry. For a dynamical system, the structure of …

Design and performance analysis of discrete memristive hyperchaotic systems with stuffed cube attractors and ultraboosting behaviors

Q Lai, L Yang, G Chen - IEEE Transactions on Industrial …, 2023 - ieeexplore.ieee.org
Memristors are widely used for studying chaotic oscillations due to their special nonlinearity
and plasticity. This article presents a framework for constructing the ultraboosting memristive …

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 …

Grid multi-scroll attractors in memristive Hopfield neural network under pulse current stimulation and multi-piecewise memristor

Q Wan, S Chen, Q Yang, J Liu, K Sun - Nonlinear Dynamics, 2023 - Springer
Grid multi-scroll attractors are widely studied in the traditional chaotic systems but are rarely
appeared in the neural network systems. This paper proposes a novel method for …

Sine-transform-based memristive hyperchaotic model with hardware implementation

H Bao, H Li, Z Hua, Q Xu, B Bao - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Memristor is a special nonlinear circuit component with internal state and can lead to
excellent chaos complexity in its constructed discrete system. To enhance the chaos …

Dynamic analysis and FPGA implementation of a new, simple 5D memristive hyperchaotic Sprott-C system

F Yu, W Zhang, X Xiao, W Yao, S Cai, J Zhang, C Wang… - Mathematics, 2023 - mdpi.com
In this paper, we first present a simple seven-term 4D hyperchaotic system based on the
classical Sprott-C 3D chaotic system. This novel system is inspired by the simple 4D …

Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system

H Peng, M Ji'e, X Du, S Duan, L Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
The generation, implementation, and application of multi-scroll chaotic systems have been
extensively studied due to their complex dynamic behaviors. This paper introduces a new …

Dynamical analysis and finite-time synchronization of grid-scroll memristive chaotic system without equilibrium

Q Lai, Z Chen - Chaos, Solitons & Fractals, 2023 - Elsevier
The study of multi-scroll memristive chaotic system has attracted great interest due to their
unique dynamics. In this paper, a novel five-dimensional chaotic system devoid of equilibria …

Extreme multistability and amplitude modulation in memristive chaotic system and application to image encryption

MH Qin, Q Lai - Optik, 2023 - Elsevier
This article discusses a novel chaotic system possessing extreme multistability via modifying
a simple Jerk system through typical memristor. Due to the influence of memristor, this …