Lower-dimensional simple chaotic systems with spectacular features
Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …
more desirable for practical considerations. Not only can such systems preserve basic …
Extreme events in dynamical systems and random walkers: A review
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …
contexts ranging from climate to brain. An observable that deviates significantly from its long …
Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation
Electromagnetic induction current is generated between the adjacent neurons in neural
network caused by the existence of membrane potential difference. Memristor is the fourth …
network caused by the existence of membrane potential difference. Memristor is the fourth …
Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons
When possessing a potential difference between two neurons, an electromagnetic induction
current appears in the Hopfield neural network (HNN), which can be emulated by a flux …
current appears in the Hopfield neural network (HNN), which can be emulated by a flux …
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability
In this paper, a novel no-equilibrium Hindmarsh-Rose (HR) neuron model with memristive
electromagnetic induction is proposed. This memristive HR neuron model exhibits complex …
electromagnetic induction is proposed. This memristive HR neuron model exhibits complex …
Hidden attractors and multistability in a modified Chua's circuit
The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's
system with a special Chua's diode. But designing such physical Chua's circuit is a …
system with a special Chua's diode. But designing such physical Chua's circuit is a …
Hidden attractors in Chua circuit: mathematical theory meets physical experiments
N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023 - Springer
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …
attractor in numerical simulation of a real physical process, a new scientific direction of …
Initials-boosted coexisting chaos in a 2-D sine map and its hardware implementation
When chaotic sequences are used in engineering applications, their oscillating amplitudes
need to be adjusted nondestructively. To accommodate this issue, this article presents a …
need to be adjusted nondestructively. To accommodate this issue, this article presents a …
Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization
J Sun, X Zhao, J Fang, Y Wang - Nonlinear Dynamics, 2018 - Springer
Memristor chaotic system has been attracted by many researchers because of the rich
dynamical behaviors. However, some existed memristor chaotic systems have finite …
dynamical behaviors. However, some existed memristor chaotic systems have finite …
Two-memristor-based Chua's hyperchaotic circuit with plane equilibrium and its extreme multistability
This paper presents a novel fifth-order two-memristor-based Chua's hyperchaotic circuit,
which is synthesized from an active band pass filter-based Chua's circuit through replacing a …
which is synthesized from an active band pass filter-based Chua's circuit through replacing a …