Mastering chaos: A review

B Hamidouche, K Guesmi, N Essounbouli - Annual Reviews in Control, 2024 - Elsevier
Chaos control remains a crucial area of study in nonlinear dynamics due to its ability to
enhance system stability and efficiency in various applications. This review thoroughly …

A polynomial-fuzzy-model-based synchronization methodology for the multi-scroll Chen chaotic secure communication system

YJ Chen, HG Chou, WJ Wang, SH Tsai… - … Applications of Artificial …, 2020 - Elsevier
In this paper, a polynomial-fuzzy-model-based design methodology to synchronize multi-
scroll Chen chaotic systems is proposed for secure communication. At first, the architecture …

Dynamic analyses, FPGA implementation and engineering applications of multi-butterfly chaotic attractors generated from generalised Sprott C system

Q Lai, XW Zhao, K Rajagopal, G Xu, A Akgul… - Pramana, 2018 - Springer
This paper considers the generation of multi-butterfly chaotic attractors from a generalised
Sprott C system with multiple non-hyperbolic equilibria. The system is constructed by …

Bifurcation-based fractional-order PI λ D μ controller design approach for nonlinear chaotic systems

K Rabah, S Ladaci, M Lashab - Frontiers of Information Technology & …, 2018 - Springer
We propose a novel approach called the robust fractional-order proportional-integral-
derivative (FOPID) controller, to stabilize a perturbed nonlinear chaotic system on one of its …

Prediction-based feedback control and synchronization algorithm of fractional-order chaotic systems

A Soukkou, A Boukabou, S Leulmi - Nonlinear Dynamics, 2016 - Springer
In this paper, a fractional-order prediction-based feedback control scheme (Fo-PbFC) is
proposed to stabilize the unstable equilibrium points and to synchronize the fractional-order …

Novel two-directional grid multi-scroll chaotic attractors based on the Jerk system

PF Ding, XY Feng, CM Wu - Chinese Physics B, 2020 - iopscience.iop.org
A new method is presented to generate two-directional (2D) grid multi-scroll chaotic
attractors via a specific form of the sine function and sign function series, which are applied …

Control of chaos in an induction motor system with LMI predictive control and experimental circuit validation

M Messadi, A Mellit - Chaos, Solitons & Fractals, 2017 - Elsevier
This paper concerns the control problems of an induction motor with chaotic behavior due to
the defiance of indirect field oriented control applied with a proportional integral (PI) speed …

Generation of 3-d grid multi-scroll chaotic attractors based on sign function and sine function

P Ding, X Feng, L Fa - Electronics, 2020 - mdpi.com
A three directional (3-D) multi-scroll chaotic attractors based on the Jerk system with
nonlinearity of the sine function and sign function is introduced in this paper. The scrolls in …

Implementing high-order chaos control scheme for cardiac conduction model with pathological rhythms

F Lounis, A Boukabou, A Soukkou - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper addresses the problem of chaos control in cardiac rhythm dynamics. For that
purpose, the high-order control method is applied to a recently proposed model of the …

Predictive feedback control and synchronization of hyperchaotic systems

D Sadaoui, A Boukabou, S Hadef - Applied Mathematics and Computation, 2014 - Elsevier
The paper deals with the problem of control and synchronization of hyperchaotic systems.
The proposed control method is based on the predictive principle which employ an …