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 …

Scenario of the birth of hidden attractors in the Chua circuit

NV Stankevich, NV Kuznetsov, GA Leonov… - International Journal of …, 2017 - World Scientific
Recently it was shown that in the dynamical model of Chua circuit both the classical self-
excited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua …

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 …

Window of multistability and its control in a simple 3D Hopfield neural network: application to biomedical image encryption

ZT Njitacke, SD Isaac, T Nestor, J Kengne - Neural Computing and …, 2021 - Springer
In this contribution, the problem of multistability control in a simple model of 3D HNNs as
well as its application to biomedical image encryption is addressed. The space …

Infinitely many coexisting attractors and scrolls in a fractional-order discrete neuron map

L Ren, L Qin, H Jahanshahi, J Mou - International Journal of …, 2023 - World Scientific
The neural network activation functions enable neural networks to have stronger fitting
abilities and richer dynamical behaviors. In this paper, an improved fractional-order discrete …

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 …

The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension

NV Kuznetsov, TN Mokaev, OA Kuznetsova… - Nonlinear …, 2020 - Springer
On the example of the famous Lorenz system, the difficulties and opportunities of reliable
numerical analysis of chaotic dynamical systems are discussed in this article. For the Lorenz …

[HTML][HTML] A new class of Hamiltonian conservative chaotic systems with multistability and design of pseudo-random number generator

E Dong, M Yuan, S Du, Z Chen - Applied Mathematical Modelling, 2019 - Elsevier
Compared to dissipative chaotic system, conservative chaotic systems have some attractive
features valuable for engineering applications, such as security communication. This paper …

A 3D memristive chaotic system with conditional symmetry

R Wang, C Li, S Kong, Y Jiang, T Lei - Chaos, Solitons & Fractals, 2022 - Elsevier
Based on the special structure of variable-boostable chaotic system VB24, a quadratic flux-
controlled memristor is embedded for the construction of a 3D memristive chaotic system …

Energy computation, infinitely coexisting patterns and their control from a Hindmarsh–Rose neuron with memristive autapse: circuit implementation

ZT Njitacke, TF Fozin, SS Muni, J Awrejcewicz… - … -International Journal of …, 2022 - Elsevier
An autapse is a particular synapse with its axon and dendrites interconnected. In this
contribution, the effect of a memristive autapse is investigated on the dynamics of a 2D …