Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System

Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System

Synchronization and control in high dimensional spatial-temporal systems have received increasing interest in recent years. In this paper, the problem of complete synchronization for reaction-diffusion systems is investigated. Linear and nonlinear synchronization control schemes have been proposed t...

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Main Authors: Adel Ouannas, Mouna Abdelli, Zaid Odibat, Xiong Wang, Viet-Thanh Pham, Giuseppe Grassi, Ahmed Alsaedi
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/2832781
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spelling doaj-c0abc3b0fd1c4639bcf66e2765a416142020-11-25T01:11:50ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/28327812832781Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein SystemAdel Ouannas0Mouna Abdelli1Zaid Odibat2Xiong Wang3Viet-Thanh Pham4Giuseppe Grassi5Ahmed Alsaedi6Department of Mathematics, University of Larbi Tebessi, Tebessa 12002, AlgeriaDepartment of Mathematics, University of Larbi Tebessi, Tebessa 12002, AlgeriaDepartment of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, JordanInstitute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, ChinaFaculty of Electrical and Electronic Engineering, Phenikaa Institute for Advanced Study (PIAS), Phenikaa University, Yen Nghia, Ha Dong district, Hanoi 100000, VietnamUniversita del Salento, Dipartimento Ingegneria Innovazione, 73100 Lecce, ItalyNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaSynchronization and control in high dimensional spatial-temporal systems have received increasing interest in recent years. In this paper, the problem of complete synchronization for reaction-diffusion systems is investigated. Linear and nonlinear synchronization control schemes have been proposed to exhibit synchronization between coupled reaction-diffusion systems. Synchronization behaviors of coupled Lengyel-Epstein systems are obtained to demonstrate the effectiveness and feasibility of the proposed control techniques.http://dx.doi.org/10.1155/2019/2832781
collection DOAJ
language English
format Article
sources DOAJ
author Adel Ouannas
Mouna Abdelli
Zaid Odibat
Xiong Wang
Viet-Thanh Pham
Giuseppe Grassi
Ahmed Alsaedi
spellingShingle Adel Ouannas
Mouna Abdelli
Zaid Odibat
Xiong Wang
Viet-Thanh Pham
Giuseppe Grassi
Ahmed Alsaedi
Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System
Complexity
author_facet Adel Ouannas
Mouna Abdelli
Zaid Odibat
Xiong Wang
Viet-Thanh Pham
Giuseppe Grassi
Ahmed Alsaedi
author_sort Adel Ouannas
title Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System
title_short Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System
title_full Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System
title_fullStr Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System
title_full_unstemmed Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System
title_sort synchronization control in reaction-diffusion systems: application to lengyel-epstein system
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description Synchronization and control in high dimensional spatial-temporal systems have received increasing interest in recent years. In this paper, the problem of complete synchronization for reaction-diffusion systems is investigated. Linear and nonlinear synchronization control schemes have been proposed to exhibit synchronization between coupled reaction-diffusion systems. Synchronization behaviors of coupled Lengyel-Epstein systems are obtained to demonstrate the effectiveness and feasibility of the proposed control techniques.
url http://dx.doi.org/10.1155/2019/2832781
work_keys_str_mv AT adelouannas synchronizationcontrolinreactiondiffusionsystemsapplicationtolengyelepsteinsystem
AT mounaabdelli synchronizationcontrolinreactiondiffusionsystemsapplicationtolengyelepsteinsystem
AT zaidodibat synchronizationcontrolinreactiondiffusionsystemsapplicationtolengyelepsteinsystem
AT xiongwang synchronizationcontrolinreactiondiffusionsystemsapplicationtolengyelepsteinsystem
AT vietthanhpham synchronizationcontrolinreactiondiffusionsystemsapplicationtolengyelepsteinsystem
AT giuseppegrassi synchronizationcontrolinreactiondiffusionsystemsapplicationtolengyelepsteinsystem
AT ahmedalsaedi synchronizationcontrolinreactiondiffusionsystemsapplicationtolengyelepsteinsystem
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