Chaotic flows with special equilibria
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …
A survey on the integrated design of chaotic oscillators
R Trejo-Guerra, E Tlelo-Cuautle… - Applied Mathematics …, 2013 - Elsevier
We present a review on the electronic design of chaotic oscillators. Multi-scroll chaotic
oscillators are listed according to their electronic implementations. A 3-scrolls oscillator is …
oscillators are listed according to their electronic implementations. A 3-scrolls oscillator is …
Generating multi-scroll Chua's attractors via simplified piecewise-linear Chua's diode
High implementation complexity of multi-scroll circuit is a bottleneck problem in real chaos-
based communication. Especially, in multi-scroll Chua's circuit, the simplified …
based communication. Especially, in multi-scroll Chua's circuit, the simplified …
Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice
J Ma, X Wu, R Chu, L Zhang - Nonlinear Dynamics, 2014 - Springer
In this paper, a feasible feedback scheme is used to stabilize the multi-scroll attractors in the
Jerk circuit, and the controller is realized using mixed Heaviside function. It is found that …
Jerk circuit, and the controller is realized using mixed Heaviside function. It is found that …
Multi-scroll chaotic attractors with multi-wing via oscillatory potential wells
G Cheng, D Li, Y Yao, R Gui - Chaos, Solitons & Fractals, 2023 - Elsevier
The oscillatory potential well can cause the mass points in it to move chaotically, which can
be considered as a physical mechanism of chaos generation. Based on this physical …
be considered as a physical mechanism of chaos generation. Based on this physical …
A new chaotic system with multiple attractors: Dynamic analysis, circuit realization and S-Box design
This paper reports about a novel three-dimensional chaotic system with three nonlinearities.
The system has one stable equilibrium, two stable equilibria and one saddle node, two …
The system has one stable equilibrium, two stable equilibria and one saddle node, two …
A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme
In this work, one of the most simple chaotic autonomous circuits, which has been reported in
the literature, is presented. The proposed circuit, that belongs to jerk systems family, is …
the literature, is presented. The proposed circuit, that belongs to jerk systems family, is …
A simple three-dimensional fractional-order chaotic system without equilibrium: Dynamics, circuitry implementation, chaos control and synchronization
Chaotic systems without equilibrium points have been investigated and received significant
attention recently. In this work, we propose a new three-dimensional fractional-order chaotic …
attention recently. In this work, we propose a new three-dimensional fractional-order chaotic …
A new chaotic system with a self-excited attractor: entropy measurement, signal encryption, and parameter estimation
In this paper, we introduce a new chaotic system that is used for an engineering application
of the signal encryption. It has some interesting features, and its successful implementation …
of the signal encryption. It has some interesting features, and its successful implementation …
Generating a 50-scroll chaotic attractor at 66 MHz by using FPGAs
E Tlelo-Cuautle, AD Pano-Azucena… - Nonlinear …, 2016 - Springer
Multi-scroll chaotic oscillators exhibit more rich dynamics and higher unpredictability than
double-scroll ones. However, in electronics, the challenge is yet generating as many scrolls …
double-scroll ones. However, in electronics, the challenge is yet generating as many scrolls …