Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020 - Springer
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) …

Dynamics of fractal-fractional model of a new chaotic system of integrated circuit with Mittag-Leffler kernel

Z Ahmad, F Ali, N Khan, I Khan - Chaos, Solitons & Fractals, 2021 - Elsevier
Fractal-fractional operators have been crucial in detecting some hidden chaotic phenomena
that could not be exposed using classical or simple fractional differential and integral …

A secure and fast image encryption scheme based on double chaotic S-boxes

S Zhu, G Wang, C Zhu - Entropy, 2019 - mdpi.com
In order to improve the security and efficiency of image encryption systems
comprehensively, a novel chaotic S-box based image encryption scheme is proposed …

A simple no-equilibrium chaotic system with only one signum function for generating multidirectional variable hidden attractors and its hardware implementation

S Zhang, X Wang, Z Zeng - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
This paper proposes a simple no-equilibrium chaotic system with only one signum function
as compared with the existing no-equilibrium chaotic ones with at least one quadratic or …

Multiscroll hyperchaotic system with hidden attractors and its circuit implementation

X Zhang, C Wang - International Journal of Bifurcation and Chaos, 2019 - World Scientific
Based on the study on Jerk chaotic system, a multiscroll hyperchaotic system with hidden
attractors is proposed in this paper, which has infinite number of equilibriums. The chaotic …

A new chaotic system with multiple attractors: Dynamic analysis, circuit realization and S-Box design

Q Lai, A Akgul, C Li, G Xu, Ü Çavuşoğlu - Entropy, 2017 - mdpi.com
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 …

A new chaotic system with a self-excited attractor: entropy measurement, signal encryption, and parameter estimation

G Xu, Y Shekofteh, A Akgül, C Li, S Panahi - Entropy, 2018 - mdpi.com
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 …

Fuzzy synchronization of chaotic systems with hidden attractors

J Zaqueros-Martinez, G Rodriguez-Gomez… - Entropy, 2023 - mdpi.com
Chaotic systems are hard to synchronize, and no general solution exists. The presence of
hidden attractors makes finding a solution particularly elusive. Successful synchronization …

Enhanced hardware implementation of a mixed-order nonlinear chaotic system and speech encryption application

AH Elsafty, MF Tolba, LA Said, AH Madian… - … -International Journal of …, 2020 - Elsevier
This paper introduces a study for the effect of using different floating-point representations
on the chaotic system's behaviour. Also, it offers a comparison between the attractors at …

Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters

J Petrzela, L Polak - IEEE Access, 2019 - ieeexplore.ieee.org
This review paper describes a design process toward fully analog realizations of chaotic
dynamics that can be considered canonical (minimum number of the circuit elements) …