A new chaotic map with dynamic analysis and encryption application in internet of health things
In this paper, we report an effective cryptosystem aimed at securing the transmission of
medical images in an Internet of Healthcare Things (IoHT) environment. This contribution …
medical images in an Internet of Healthcare Things (IoHT) environment. This contribution …
On the dynamics, control and synchronization of fractional-order Ikeda map
This paper is concerned with a fractional Caputo-difference form of Ikeda map. The
dynamics of the proposed map is investigated numerically through phase plots and …
dynamics of the proposed map is investigated numerically through phase plots and …
[HTML][HTML] Chaos and control of a three-dimensional fractional order discrete-time system with no equilibrium and its synchronization
Chaotic systems with no equilibrium are a very important topic in nonlinear dynamics. In this
paper, a new fractional order discrete-time system with no equilibrium is proposed, and the …
paper, a new fractional order discrete-time system with no equilibrium is proposed, and the …
A fractional map with hidden attractors: chaos and control
This paper studies the dynamics of a new fractional-order map with no fixed points. Through
phase plots, bifurcation diagrams, largest Lyapunov exponent, it is shown that the proposed …
phase plots, bifurcation diagrams, largest Lyapunov exponent, it is shown that the proposed …
On chaos and projective synchronization of a fractional difference map with no equilibria using a fuzzy-based state feedback control
E Zambrano-Serrano, S Bekiros… - Physica A: Statistical …, 2021 - Elsevier
In this paper, by considering the Caputo-like delta difference definition, a fractional
difference order map with chaotic dynamics and with no equilibria is proposed. The complex …
difference order map with chaotic dynamics and with no equilibria is proposed. The complex …
A novel class of two-dimensional chaotic maps with infinitely many coexisting attractors
We study a novel class of two-dimensional maps with infinitely many coexisting attractors.
Firstly, the mathematical model of these maps is formulated by introducing a sinusoidal …
Firstly, the mathematical model of these maps is formulated by introducing a sinusoidal …
Parameter identification of fractional-order discrete chaotic systems
Research on fractional-order discrete chaotic systems has grown in recent years, and chaos
synchronization of such systems is a new topic. To address the deficiencies of the extant …
synchronization of such systems is a new topic. To address the deficiencies of the extant …
Bifurcation and chaos in the fractional form of Hénon-Lozi type map
In this paper, we are particularly interested in the fractional form of the Hénon-Lozi type map.
Using discrete fractional calculus, we show that the general behavior of the proposed …
Using discrete fractional calculus, we show that the general behavior of the proposed …
An Unprecedented 2‐Dimensional Discrete‐Time Fractional‐Order System and Its Hidden Chaotic Attractors
AA Khennaoui, AO Almatroud… - Mathematical …, 2021 - Wiley Online Library
Some endeavors have been recently dedicated to explore the dynamic properties of the
fractional‐order discrete‐time chaotic systems. To date, attention has been mainly focused …
fractional‐order discrete‐time chaotic systems. To date, attention has been mainly focused …
On two-dimensional fractional chaotic maps with symmetries
In this paper, we propose two new two-dimensional chaotic maps with closed curve fixed
points. The chaotic behavior of the two maps is analyzed by the 0–1 test, and explored …
points. The chaotic behavior of the two maps is analyzed by the 0–1 test, and explored …