A review of chaotic systems based on memristive Hopfield neural networks
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 …
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …
Hidden attractors in dynamical systems
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …
engineering applications typically have many coexisting attractors. This property of the …
A universal variable extension method for designing multiscroll/wing chaotic systems
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 …
(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
Memristors can be employed to mimic biological neural synapses or to describe
electromagnetic induction effects. To exhibit the threshold effect of electromagnetic …
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 …
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 …
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 …
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 …
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
Neural networks have been applied in various fields from signal processing, pattern
recognition, associative memory to artificial intelligence. Recently, nanoscale memristor has …
recognition, associative memory to artificial intelligence. Recently, nanoscale memristor has …
Three‐Dimensional Memristive Hindmarsh–Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors
Since the electrical activities of neurons are closely related to complex electrophysiological
environment in neuronal system, a novel three‐dimensional memristive Hindmarsh–Rose …
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 …
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …