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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 …
Scenario of the birth of hidden attractors in the Chua circuit
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 …
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
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 …
Window of multistability and its control in a simple 3D Hopfield neural network: application to biomedical image encryption
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 …
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
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 …
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 …
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 …
The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension
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 …
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
Compared to dissipative chaotic system, conservative chaotic systems have some attractive
features valuable for engineering applications, such as security communication. This paper …
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 …
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
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 …
contribution, the effect of a memristive autapse is investigated on the dynamics of a 2D …