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 …

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 …

A novel 3D chaotic system with line equilibrium: multistability, integral sliding mode control, electronic circuit, FPGA implementation and its image encryption

A Sambas, S Vaidyanathan, X Zhang, I Koyuncu… - IEEE …, 2022 - ieeexplore.ieee.org
This paper announces a novel three-dimensional chaotic system with line equilibrium and
discusses its dynamic properties such as Lyapunov exponents, phase portraits, equilibrium …

A self-reproduction hyperchaotic map with compound lattice dynamics

Y Li, C Li, S Zhang, G Chen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, sinusoidal functions are introduced to a discrete map for hyperchaos
generation and attractor self-reproduction. The constructed map shares a unique structure …

Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit

Q Lai, Z Wan, PDK Kuate, H Fotsin - Communications in Nonlinear Science …, 2020 - Elsevier
This paper reports a new chaotic system generated from the simplest memristor chaotic
circuit by introducing a simple nonlinear feedback control input. The principal feature of the …

Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden …

GA Leonov, NV Kuznetsov, TN Mokaev - The European Physical Journal …, 2015 - Springer
In this paper, we discuss self-excited and hidden attractors for systems of differential
equations. We considered the example of a Lorenz-like system derived from the well-known …

Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation

H Lin, C Wang, Y Tan - Nonlinear Dynamics, 2020 - Springer
Biological nervous system function is closely related to its dynamical behaviors, and some
dynamical phenomena observed in biological systems can be detected in the simplified …

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 …

Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit

Q Xu, Y Lin, B Bao, M Chen - Chaos, Solitons & Fractals, 2016 - Elsevier
Multiple attractors can be found in many nonlinear dynamical system with multistability.
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …

Coexistence of hidden chaotic attractors in a novel no-equilibrium system

VT Pham, C Volos, S Jafari, T Kapitaniak - Nonlinear Dynamics, 2017 - Springer
Hidden attractors have received considerable interest in physics, mechanics and other
dynamical areas recently. This paper introduces a novel autonomous system with hidden …