Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo

Z Wei, I Moroz, JC Sprott, A Akgul… - … Interdisciplinary Journal of …, 2017 - pubs.aip.org
We report on the finding of hidden hyperchaos in a 5D extension to a known 3D self-exciting
homopolar disc dynamo. The hidden hyperchaos is identified through three positive …

A memristive chaotic system with hypermultistability and its application in image encryption

J Sun, C Li, T Lu, A Akgul, F Min - Ieee Access, 2020 - ieeexplore.ieee.org
Infinite lines of equilibria exist in a new memristive system when a tangent function is
introduced for attractor self-reproducing. Lyapunov exponent spectra and bifurcation …

A new three-dimensional chaotic system with a hidden attractor, circuit design and application in wireless mobile robot

S Vaidyanathan, A Sambas, M Mamat… - Archives of Control …, 2017 - yadda.icm.edu.pl
This research work proposes a new three-dimensional chaotic system with a hidden
attractor. The proposed chaotic system consists of only two quadratic nonlinearities and the …

Chaotic chameleon: Dynamic analyses, circuit implementation, FPGA design and fractional-order form with basic analyses

K Rajagopal, A Akgul, S Jafari, A Karthikeyan… - Chaos, Solitons & …, 2017 - Elsevier
There are many recent investigations on chaotic systems with self-excited and hidden
attractors. In this paper we introduce a chaotic system in which the attractor can change …

A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors

GD Leutcho, J Kengne - Chaos, Solitons & Fractals, 2018 - Elsevier
This work proposes and systematically investigates the dynamics of a novel snap system
with a single parameterized nonlinearity in the form φ k (z)= 0.5 (exp (kz)− exp (− z)). The …

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 simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme

C Volos, A Akgul, VT Pham, I Stouboulos… - Nonlinear …, 2017 - Springer
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 …

A simple three-dimensional fractional-order chaotic system without equilibrium: Dynamics, circuitry implementation, chaos control and synchronization

VT Pham, ST Kingni, C Volos, S Jafari… - … -international Journal of …, 2017 - Elsevier
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 …

Chameleon: the most hidden chaotic flow

MA Jafari, E Mliki, A Akgul, VT Pham, ST Kingni… - Nonlinear …, 2017 - Springer
Although chaotic systems with hidden attractors have been discovered recently, there is a
few investigations about relationships among them. In this work, we introduce a unique …

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 …