Results 1 to 10 of about 659 (117)

Complexity Analysis and Synchronization Control of Fractional-Order Jafari-Sprott Chaotic System

open access: yesIEEE Access, 2020
Aiming at the complexity problem of fractional-order Jafari-Sprott chaotic system, in this paper, Adomian decomposition method is used to study its numerical analysis and a complexity analysis method of fractional-order Jafari-Sprott chaotic system based
Guohui Li, Xiangyu Zhang, Hong Yang
doaj   +3 more sources

Exploiting Newly Designed Fractional-Order 3D Lorenz Chaotic System and 2D Discrete Polynomial Hyper-Chaotic Map for High-Performance Multi-Image Encryption

open access: yesFractal and Fractional, 2023
Chaos-based image encryption has become a prominent area of research in recent years. In comparison to ordinary chaotic systems, fractional-order chaotic systems tend to have a greater number of control parameters and more complex dynamical ...
Wei Feng   +7 more
doaj   +3 more sources

Parameter Identification of Fractional-Order Discrete Chaotic Systems [PDF]

open access: yesEntropy, 2019
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 chaos synchronization methods for fractional-order discrete chaotic ...
Yuexi Peng   +3 more
doaj   +3 more sources

Synchronization of fractional order chaotic systems [PDF]

open access: yesPhysical Review E, 2003
The chaotic dynamics of fractional order systems begin to attract much attentions in recent years. In this brief report, we study the master-slave synchronization of fractional order chaotic systems. It is shown that fractional order chaotic systems can also be synchronized.
Li, Chunguang   +2 more
openaire   +3 more sources

Fractional-order projection of a chaotic system with hidden attractors and its passivity-based synchronization

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
This paper presents the fractional-order projection of a chaotic system, which delivers a collection of self-excited and hidden chaotic attractors as a function of a single system parameter.
Fernando E. Serrano   +2 more
doaj   +1 more source

Introduction to the fractional-order chaotic system under fractional operator in Caputo sense

open access: yesAlexandria Engineering Journal, 2021
In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
doaj   +1 more source

FPGA Realization of Two Different Fractional- Order Time-Delay Chaotic System With Predefined Synchronization Time

open access: yesIEEE Access, 2022
To solve the problem that the fractional-order system is difficult to implement on FPGA, the chaotic behavior of a single fractional-order Chen system is realized on the FPGA platform in this article by using Laplace transform and Bode-domain ...
Lixiong Lin, Qing Wang, Guowei Cai
doaj   +1 more source

Dynamic Analysis for a Fractional‐Order Autonomous Chaotic System [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2016
We introduce a discretization process to discretize a modified fractional‐order optically injected semiconductor lasers model and investigate its dynamical behaviors. More precisely, a sufficient condition for the existence and uniqueness of the solution is obtained, and the necessary and sufficient conditions of stability of the discrete system are ...
Jiangang Zhang   +4 more
openaire   +3 more sources

Reconfigurable FPGA Realization of Fractional-Order Chaotic Systems [PDF]

open access: yesIEEE Access, 2021
Cet article propose la réalisation FPGA d'un noyau IP pour la dérivée générique d'ordre fractionnaire basée sur l'approximation de Grünwald-Letnikov. Cette conception générique est appliquée pour réaliser une réalisation reconfigurable de systèmes chaotiques d'ordre fractionnaire.
Sara M. Mohamed   +3 more
openaire   +2 more sources

Complexity Analysis of Three-Dimensional Fractional-Order Chaotic System Based on Entropy Theory

open access: yesIEEE Access, 2021
Complexity analysis of fractional-order chaotic system is an interesting topic in recent years. How to measure the complexity of fractional-order chaotic system correctly and effectively is the basis of its theoretical analysis and engineering ...
Guohui Li, Xiangyu Zhang, Hong Yang
doaj   +1 more source

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