New type of chaos synchronization in discrete-time systems: the F-M synchronization

In this paper, a new type of synchronization for chaotic (hyperchaotic) maps with different dimensions is proposed. The novel scheme is called F – M synchronization, since it combines the inverse generalized synchronization (based on a functional relationship F) with the matrix projective synchroniz...

Full description

Bibliographic Details
Main Authors:	Ouannas Adel, Grassi Giuseppe, Karouma Abdulrahman, Ziar Toufik, Wang Xiong, Pham Viet–Thanh
Format:	Article
Language:	English
Published:	De Gruyter 2018-04-01
Series:	Open Physics
Subjects:	Inverse generalized synchronization matrix projective synchronization chaotic systems discrete-time systems Lyapunov stability theory 05.45.Gg 05.45.Xt
Online Access:	http://www.degruyter.com/view/j/phys.2018.16.issue-1/phys-2018-0025/phys-2018-0025.xml?format=INT

id	doaj-art-abb6aa26503d42f1adfe7d962af18825
recordtype	oai_dc
spelling	doaj-art-abb6aa26503d42f1adfe7d962af188252018-08-24T19:58:27ZengDe GruyterOpen Physics2391-54712018-04-0116117418210.1515/phys-2018-0025phys-2018-0025New type of chaos synchronization in discrete-time systems: the F-M synchronizationOuannas Adel0Grassi Giuseppe1Karouma Abdulrahman2Ziar Toufik3Wang Xiong4Pham Viet–Thanh5Department of Mathematics, University of Larbi Tebessi, Tebessa, 12002, AlgeriaDipartimento Ingegneria Innovazione, Universitá del Salento, 73100Lecce, ItalyDepartment of Mathematics and Statistics, University of Ottawa, Ottawa, CanadaDepartment of Material Sciences, University Larbi Tebessi, Tebessa, 12002AlgeriaInstitute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, P.R, ChinaModeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, VietnamIn this paper, a new type of synchronization for chaotic (hyperchaotic) maps with different dimensions is proposed. The novel scheme is called F – M synchronization, since it combines the inverse generalized synchronization (based on a functional relationship F) with the matrix projective synchronization (based on a matrix M). In particular, the proposed approach enables F – M synchronization with index d to be achieved between n-dimensional drive system map and m-dimensional response system map, where the synchronization index d corresponds to the dimension of the synchronization error. The technique, which exploits nonlinear controllers and Lyapunov stability theory, proves to be effective in achieving the F – M synchronization not only when the synchronization index d equals n or m, but even if the synchronization index d is larger than the map dimensions n and m. Finally, simulation results are reported, with the aim to illustrate the capabilities of the novel scheme proposed herein.http://www.degruyter.com/view/j/phys.2018.16.issue-1/phys-2018-0025/phys-2018-0025.xml?format=INTInverse generalized synchronizationmatrix projective synchronizationchaotic systems discrete-time systemsLyapunov stability theory05.45.Gg05.45.Xt
institution	Open Data Bank
collection	Open Access Journals
building	Directory of Open Access Journals
language	English
format	Article
author	Ouannas Adel Grassi Giuseppe Karouma Abdulrahman Ziar Toufik Wang Xiong Pham Viet–Thanh
spellingShingle	Ouannas Adel Grassi Giuseppe Karouma Abdulrahman Ziar Toufik Wang Xiong Pham Viet–Thanh New type of chaos synchronization in discrete-time systems: the F-M synchronization Open Physics Inverse generalized synchronization matrix projective synchronization chaotic systems discrete-time systems Lyapunov stability theory 05.45.Gg 05.45.Xt
author_facet	Ouannas Adel Grassi Giuseppe Karouma Abdulrahman Ziar Toufik Wang Xiong Pham Viet–Thanh
author_sort	Ouannas Adel
title	New type of chaos synchronization in discrete-time systems: the F-M synchronization
title_short	New type of chaos synchronization in discrete-time systems: the F-M synchronization
title_full	New type of chaos synchronization in discrete-time systems: the F-M synchronization
title_fullStr	New type of chaos synchronization in discrete-time systems: the F-M synchronization
title_full_unstemmed	New type of chaos synchronization in discrete-time systems: the F-M synchronization
title_sort	new type of chaos synchronization in discrete-time systems: the f-m synchronization
publisher	De Gruyter
series	Open Physics
issn	2391-5471
publishDate	2018-04-01
description	In this paper, a new type of synchronization for chaotic (hyperchaotic) maps with different dimensions is proposed. The novel scheme is called F – M synchronization, since it combines the inverse generalized synchronization (based on a functional relationship F) with the matrix projective synchronization (based on a matrix M). In particular, the proposed approach enables F – M synchronization with index d to be achieved between n-dimensional drive system map and m-dimensional response system map, where the synchronization index d corresponds to the dimension of the synchronization error. The technique, which exploits nonlinear controllers and Lyapunov stability theory, proves to be effective in achieving the F – M synchronization not only when the synchronization index d equals n or m, but even if the synchronization index d is larger than the map dimensions n and m. Finally, simulation results are reported, with the aim to illustrate the capabilities of the novel scheme proposed herein.
topic	Inverse generalized synchronization matrix projective synchronization chaotic systems discrete-time systems Lyapunov stability theory 05.45.Gg 05.45.Xt
url	http://www.degruyter.com/view/j/phys.2018.16.issue-1/phys-2018-0025/phys-2018-0025.xml?format=INT
_version_	1612671512089722880

New type of chaos synchronization in discrete-time systems: the F-M synchronization

Similar Items