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
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
  • [1] Hopf bifurcation in a reaction-diffusion model with Degn-Harrison reaction scheme
    Dong, Yaying
    Li, Shanbing
    Zhang, Shunli
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 33 : 284 - 297
  • [2] Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
    Peng, Rui
    Yi, Feng-qi
    Zhao, Xiao-qiang
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (06) : 2465 - 2498
  • [3] Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
    Li, Shanbing
    Wu, Jianhua
    Doug, Yaying
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (05) : 1990 - 2029
  • [4] On the local and global asymptotic stability of the Degn-Harrison reaction-diffusion model
    Abbad, Abir
    Bendoukha, Samir
    Abdelmalek, Salem
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (02) : 567 - 577
  • [5] Dynamics analysis of a chemical reaction-diffusion model subject to Degn-Harrison reaction scheme
    Yan, Xiang-Ping
    Chen, Jian-Ye
    Zhang, Cun-Hua
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 48 : 161 - 181
  • [6] Fractional-Order Degn-Harrison Reaction-Diffusion Model: Finite-Time Dynamics of Stability and Synchronization
    Abu Hammad, Ma'mon
    Bendib, Issam
    Alshanti, Waseem Ghazi
    Alshanty, Ahmad
    Ouannas, Adel
    Hioual, Amel
    Momani, Shaher
    [J]. COMPUTATION, 2024, 12 (07)
  • [7] A generalized Degn-Harrison reaction-diffusion system: Asymptotic stability and non-existence results
    Abbad, Abir
    Abdelmalek, Salem
    Bendoukha, Samir
    Gambino, Gaetana
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 57
  • [9] PATTERN FORMATION IN A GENERAL DEGN-HARRISON REACTION MODEL
    Zhou, Jun
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (02) : 655 - 666
  • [10] MULTIPLE STEADY STATES FOR DEGN-HARRISON REACTION SCHEME OF A BACTERIAL CULTURE
    HEMMER, PC
    VELARDE, MG
    [J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1978, 31 (01): : 111 - 116