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 …

Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

A universal variable extension method for designing multiscroll/wing chaotic systems

H Lin, C Wang, Y Sun - IEEE Transactions on Industrial …, 2023 - ieeexplore.ieee.org
Developing a universal design method to construct different multiscroll/wing chaotic systems
(MS/WCSs) has been challenging. This article proposes a general design method for MS …

Hidden bursting firings and bifurcation mechanisms in memristive neuron model with threshold electromagnetic induction

H Bao, A Hu, W Liu, B Bao - IEEE transactions on neural …, 2019 - ieeexplore.ieee.org
Memristors can be employed to mimic biological neural synapses or to describe
electromagnetic induction effects. To exhibit the threshold effect of electromagnetic …

An extremely simple multiwing chaotic system: dynamics analysis, encryption application, and hardware implementation

H Lin, C Wang, F Yu, C Xu, Q Hong… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Polynomial functions have been the main barrier restricting the circuit realization and
engineering application of multiwing chaotic systems (MWCSs). To eliminate this bottleneck …

A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …

H Jahanshahi, A Yousefpour, JM Munoz-Pacheco… - Applied Soft …, 2020 - Elsevier
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …

A new 4D four-wing memristive hyperchaotic system: dynamical analysis, electronic circuit design, shape synchronization and secure communication

F Yu, S Qian, X Chen, Y Huang, L Liu, C Shi… - … Journal of Bifurcation …, 2020 - World Scientific
In this paper, a simple four-wing chaotic attractor is first proposed by replacing the constant
parameters of the Chen system with a periodic piecewise function. Then, a new 4D four …

A novel memristive neural network with hidden attractors and its circuitry implementation

VT Pham, S Jafari, S Vaidyanathan, C Volos… - Science China …, 2016 - Springer
Neural networks have been applied in various fields from signal processing, pattern
recognition, associative memory to artificial intelligence. Recently, nanoscale memristor has …

Three‐Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors

B Bao, A Hu, H Bao, Q Xu, M Chen, H Wu - Complexity, 2018 - Wiley Online Library
Since the electrical activities of neurons are closely related to complex electrophysiological
environment in neuronal system, a novel three‐dimensional memristive Hindmarsh–Rose …

Generating grid chaotic sea from system without equilibrium point

N Wang, G Zhang, NV Kuznetsov, H Li - Communications in Nonlinear …, 2022 - Elsevier
The dynamical system without equilibrium point is considered having hidden dynamics. It is
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …