Generalized dynamic switched synchronization between combinations of fractional-order chaotic systems
type: Item
instance of: scholarly article
title: Generalized dynamic switched synchronization between combinations of fractional-order chaotic systems
zbMATH Open document ID: 1367.34074
DOI: 10.1155/2017/9189120
author: Wafaa S. Sayed
author: Moheb M. R. Henein
author: Salwa K. Abd-El-Hafiz
author: A. G. Radwan
published in: Complexity
publication date: 2017-08-03T00:00:00Z
review text: Summary: This paper proposes a novel generalized switched synchronization scheme among \(n\) fractional-order chaotic systems with various operating modes. Digital dynamic switches and dynamic scaling factors are employed, which offer many new capabilities. Dynamic switches determine the role of each system as a master or a slave. A system can either have a fixed role throughout the simulation time (static switching) or switch its role one or more times (dynamic switching). Dynamic scaling factors are used for each state variable of the master system. Such scaling factors control whether the master is a single system or a combination of several systems. In addition, these factors determine the generalized relation between the original systems from which the master system is built as well as the slave system(s). Moreover, they can be utilized to achieve different kinds of generalized synchronization relations for the purpose of generating new attractor diagrams. The paper presents a mathematical formulation and analysis of the proposed synchronization scheme. Furthermore, many numerical simulations are provided to demonstrate the successful generalized switched synchronization of several fractional-order chaotic systems. The proposed scheme provides various functions suitable for applications such as different master-slave communication models and secure communication systems.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6756004
zbMATH Keywords: dynamic switched synchronization
zbMATH Keywords: fractional-order chaotic systems
describes a project that uses: sysdfod
describes a project that uses: DFOC
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/9189120
OpenAlex ID: W2588347830
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Wikidata QID: Q59142961
description: scientific article; zbMATH DE number 6756004