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 …

A novel no‐equilibrium hyperchaotic multi‐wing system via introducing memristor

L Zhou, C Wang, L Zhou - International Journal of Circuit …, 2018 - Wiley Online Library
In this paper, a new multi‐wing chaotic attractor is constructed. Based on the proposed multi‐
wing system, the paper presents a novel method to generate hyperchaotic multi‐wing …

Hyperchaos in a 4D memristive circuit with infinitely many stable equilibria

Q Li, H Zeng, J Li - Nonlinear Dynamics, 2015 - Springer
This paper studies a four-dimensional (4D) memristive system modified from the 3D chaotic
system proposed by Lü and Chen. The new system keeps the symmetry and dissipativity of …

Synchronization and chaos in coupled memristor-based FitzHugh-Nagumo circuits with memristor synapse

J Zhang, X Liao - Aeu-international journal of electronics and …, 2017 - Elsevier
The memristor has drawn a significant interest in the fields of neuromorphic circuits because
the nanoscale memristor is a strong candidate to become the critical element of novel ultra …

Coexisting multiple attractors and riddled basins of a memristive system

G Wang, F Yuan, G Chen, Y Zhang - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
In this paper, a new memristor-based chaotic system is designed, analyzed, and
implemented. Multistability, multiple attractors, and complex riddled basins are observed …

[HTML][HTML] Dynamical behaviors, circuit realization, chaos control, and synchronization of a new fractional order hyperchaotic system

AMA El-Sayed, HM Nour, A Elsaid, AE Matouk… - Applied Mathematical …, 2016 - Elsevier
In this study, we introduce a new fractional order hyperchaotic system. We prove the
existence and uniqueness of the solution to the proposed system. We also study the stability …

On hyperchaos in a small memristive neural network

Q Li, S Tang, H Zeng, T Zhou - Nonlinear Dynamics, 2014 - Springer
This paper studies a small Hopfield neural network with a memristive synaptic weight. We
show that the previous stable network after one weight replaced by a memristor can exhibit …

Image encryption and watermarking in ACO-OFDM-VLC system employing novel memristive hyperchaotic map

AA Elsadany, A Elsonbaty, EAA Hagras - Soft Computing, 2023 - Springer
The development of reliable and efficient techniques for protecting modern communications
systems becomes a very active research point which stimulates major challenges in the …

A memristor-based VB2 chaotic system: Dynamical analysis, circuit implementation, and image encryption

C Hu, Z Tian, Q Wang, X Zhang, B Liang, C Jian, X Wu - Optik, 2022 - Elsevier
A new asymmetric memristor-based chaotic system with only one equilibrium point is
obtained by introducing a smooth quadratic flux control memristor module into the VB2 …

A chaotic system with infinite equilibria and its S-box constructing application

X Wang, A Akgul, U Cavusoglu, VT Pham… - Applied Sciences, 2018 - mdpi.com
Systems with many equilibrium points have attracted considerable interest recently. A
chaotic system with a line equilibrium has been studied in this work. The system has infinite …