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 …

Dynamics analysis and hardware implementation of multi-scroll hyperchaotic hidden attractors based on locally active memristive Hopfield neural network

D Tang, C Wang, H Lin, F Yu - Nonlinear Dynamics, 2024 - Springer
It is believed that local activation is the origin of all complexities, and the locally active
memristive synaptic neural network can generate complex chaotic dynamic behaviors, such …

Memristor initial-offset boosting in memristive HR neuron model with hidden firing patterns

H Bao, W Liu, J Ma, H Wu - International Journal of Bifurcation and …, 2020 - World Scientific
A new three-dimensional (3D) memristive HR neuron model is presented, which is improved
from an existing memristive HR neuron model using a memristor synapse with sine …

Design and realization of discrete memristive hyperchaotic map with application in image encryption

Q Lai, L Yang, Y Liu - Chaos, Solitons & Fractals, 2022 - Elsevier
The investigation of discrete memristive chaotic systems with complex dynamics has been
an interesting and meaningful research work. This paper is devoted to constructing a …

A memristive synapse control method to generate diversified multistructure chaotic attractors

H Lin, C Wang, C Xu, X Zhang… - IEEE transactions on …, 2022 - ieeexplore.ieee.org
Due to the synapse-like nonlinearity and memory characteristics, memristor is often used to
construct memristive neural networks with complex dynamical behaviors. However …

Flux–Charge Analysis of Two-Memristor-Based Chua's Circuit: Dimensionality Decreasing Model for Detecting Extreme Multistability

M Chen, M Sun, H Bao, Y Hu… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, from a new perspective of flux and charge, we present in-depth analyses of two
ideal memristor emulators and the fifth-order memristive Chua's circuit constructed based on …

Parallel bi-memristor hyperchaotic map with extreme multistability

H Bao, Y Gu, Q Xu, X Zhang, B Bao - Chaos, Solitons & Fractals, 2022 - Elsevier
Discrete memristors can be used to construct chaotic and hyperchaotic map** models by
self-feedback or coupling method, but these constructed maps do not have multistability or …

Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system

H Bao, M Chen, HG Wu, BC Bao - Science China Technological Sciences, 2020 - Springer
Initial-dependent extreme multi-stability and offset-boosted coexisting attractors have been
significantly concerned recently. This paper constructs a novel five-dimensional (5-D) two …

Hidden extreme multistability and dimensionality reduction analysis for an improved non-autonomous memristive FitzHugh–Nagumo circuit

H Bao, W Liu, M Chen - Nonlinear Dynamics, 2019 - Springer
Due to the introduction of ideal memristors, extreme multistability has been found in many
autonomous memristive circuits. However, such extreme multistability has not yet been …

Parameter identification for discrete memristive chaotic map using adaptive differential evolution algorithm

Y Peng, S He, K Sun - Nonlinear Dynamics, 2022 - Springer
Since the concept of discrete memristor was proposed, more and more scholars began to
study this topic. At present, most of works on the discrete memristor are devoted to the …