On chaos in the fractional-order discrete-time unified system and its control synchronization

AA Khennaoui, A Ouannas, S Bendoukha, X Wang… - Entropy, 2018 - mdpi.com
In this paper, we propose a fractional map based on the integer-order unified map. The
chaotic behavior of the proposed map is analyzed by means of bifurcations plots, and …

Adaptive fixed-time difference synchronization for different classes of chaotic dynamical systems

VK Shukla, MC Joshi, PK Mishra, C Xu - Physica Scripta, 2024 - iopscience.iop.org
This article examines adaptive fixed-time difference synchronization for various classes of
chaotic dynamical systems. The adaptive fixed-time control technique has been used in this …

A tribute to JC Sprott

F Nazarimehr, S Jafari, G Chen… - … Journal of Bifurcation …, 2017 - World Scientific
In honor of his 75th birthday, we review the prominent works of Professor Julien Clinton
Sprott in chaos and nonlinear dynamics. We categorize his works into three important …

[PDF][PDF] On the robustness of chaos in dynamical systems: Theories and applications

Z Elhadj, JC Sprott - Frontiers of Physics in China, 2008 - academia.edu
On the robustness of chaos in dynamical systems:Theories and applications Page 1 On the
robustness of chaos in dynamical systems:Theories and applications Zeraoulia Elhadj1, JC …

Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise

E Rybalova, V Averyanov, R Lozi, G Strelkova - Chaos, Solitons & Fractals, 2024 - Elsevier
We explore numerically the dynamics of a single Hénon–Lozi map and networks of
nonlocally coupled Hénon–Lozi maps. It is shown that due to a complicated behavior of the …

Global stability of local fractional Hénon-Lozi map using fixed point theory

RW Ibrahim, D Baleanu - 2022 - earsiv.cankaya.edu.tr
We present an innovative piecewise smooth mapping of the plane as a parametric discrete-
time chaotic system that has robust chaos over a share of its significant organization …

[图书][B] Dynamical systems: theories and applications

Z Elhadj - 2019 - taylorfrancis.com
Chaos is the idea that a system will produce very different long-term behaviors when the
initial conditions are perturbed only slightly. Chaos is used for novel, time-or energy-critical …

Stabilization of higher periodic orbits of the Lozi and Hénon maps using meta-evolutionary approaches

R Matousek, RP Lozi, T Hulka - 2021 IEEE Congress on …, 2021 - ieeexplore.ieee.org
This paper deals with an advanced adjustment of stabilization sequences for selected
discrete chaotic systems by means of meta-evolutionary approaches. As the representative …

The generalization of mathematically simple and robust chaotic maps with absolute value nonlinearity

W San-Um, P Ketthong - TENCON 2014-2014 IEEE Region 10 …, 2014 - ieeexplore.ieee.org
This paper presents a generalization of four chaotic maps with absolute value nonlinearity.
The proposed four maps are mathematically simple through the use of absolute value …

Robustification of a one-dimensional generic sigmoidal chaotic map with application of true random bit generation

N Jiteurtragool, T Masayoshi, W San-Um - Entropy, 2018 - mdpi.com
The search for generation approaches to robust chaos has received considerable attention
due to potential applications in cryptography or secure communications. This paper is of …