Synchronization Methods for the Degn-Harrison Reaction-Diffusion Systems

被引：8
|
作者：
Mesdoui, Fatiha [1 ]
Ouannas, Adel [2 ]
Shawagfeh, Nabil [1 ]
Grassi, Giuseppe [3 ]
Viet-Thanh Pham [4 ,5 ]
机构：
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
[2] Univ Larbi Tebessi, Lab Math Informat & Syst LAMIS, Tebessa 12002, Algeria
[3] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy
[4] Phenikaa Univ, PIAS, Fac Elect & Elect Engn, Hanoi 100000, Vietnam
[5] A&A Green Phoenix Grp, PRATI, Hanoi 100000, Vietnam
来源：
IEEE ACCESS | 2020年 / 8卷 / 91829-91836期
关键词：
Synchronization; Biological system modeling; Master-slave; Microorganisms; Force; Adaptation models; Licenses; Degn-Harrison; complete synchronization; Lyapunov method; reaction-diffusion; PATTERNS; MODEL; CHAOS; OSCILLATIONS; NETWORKS;
D O I：
10.1109/ACCESS.2020.2993784
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper concerns the problem of synchronization-control in nonlinear bacterial cultures reaction-diffusion model, linear and nonlinear controllers have been proposed to study the complete synchronization of couples of the Degn-Harrison system with identical and non-identical coefficients. Throughout the paper, we use numerical simulation to show the effectiveness of the proposed results.
引用
收藏
页码：91829 / 91836
页数：8
相关论文
共 50 条
  • [31] Adaptive finite element methods for systems of reaction-diffusion equations
    Sandboge, R
    [J]. FINITE ELEMENT METHODS: SUPERCONVERGENCE, POST-PROCESSING, AND A POSTERIORI ESTIMATES, 1998, 196 : 227 - 235
  • [32] Incorporating domain growth into hybrid methods for reaction-diffusion systems
    Smith, Cameron A.
    Yates, Christian A.
    [J]. JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2021, 18 (177)
  • [33] A comparison of two numerical methods for oscillatory reaction-diffusion systems
    Sherratt, JA
    [J]. APPLIED MATHEMATICS LETTERS, 1997, 10 (02) : 1 - 5
  • [34] Adaptive finite element methods for systems of reaction-diffusion equations
    Sandboge, R
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 166 (3-4) : 309 - 328
  • [35] Experimental Analysis of Optimistic Synchronization Algorithms for Parallel Simulation of Reaction-Diffusion Systems
    Wang, Bing
    Yao, Yiping
    Zhao, Yuliang
    Hou, Bonan
    Peng, Shaoliang
    [J]. 2009 INTERNATIONAL WORKSHOP ON HIGH PERFORMANCE COMPUTATIONAL SYSTEMS BIOLOGY, PROCEEDINGS, 2009, : 91 - 100
  • [36] Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems
    Nakao, Hiroya
    Yanagita, Tatsuo
    Kawamura, Yoji
    [J]. PHYSICAL REVIEW X, 2014, 4 (02):
  • [37] Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type
    Ambrosio, B.
    Aziz-Alaoui, M. A.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (05) : 934 - 943
  • [38] Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System
    Ouannas, Adel
    Abdelli, Mouna
    Odibat, Zaid
    Wang, Xiong
    Viet-Thanh Pham
    Grassi, Giuseppe
    Alsaedi, Ahmed
    [J]. COMPLEXITY, 2019, 2019
  • [39] Exponential Synchronization of Reaction-Diffusion Systems on Networks via Asynchronous Intermittent Control
    Liu, Jian
    Yang, Yan
    Wu, Yongbao
    Al-Dabooni, Seaar
    Xue, Lei
    Wunsch, Donald C.
    [J]. IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS, 2023, 9 : 825 - 835
  • [40] Multispecies reaction-diffusion systems
    Aghamohammadi, A
    Fatollahi, AH
    Khorrami, M
    Shariati, A
    [J]. PHYSICAL REVIEW E, 2000, 62 (04): : 4642 - 4649
12345