On chaos in the fractional-order discrete-time unified system and its control synchronization
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 …
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 …
chaotic dynamical systems. The adaptive fixed-time control technique has been used in this …
A tribute to JC Sprott
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
due to potential applications in cryptography or secure communications. This paper is of …