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

Author

Listed:
  • Adel Ouannas
  • Mouna Abdelli
  • Zaid Odibat
  • Xiong Wang
  • Viet-Thanh Pham
  • Giuseppe Grassi
  • Ahmed Alsaedi

Abstract

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.

Suggested Citation

  • Adel Ouannas & Mouna Abdelli & Zaid Odibat & Xiong Wang & Viet-Thanh Pham & Giuseppe Grassi & Ahmed Alsaedi, 2019. "Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System," Complexity, Hindawi, vol. 2019, pages 1-8, February.
    • Handle: RePEc:hin:complx:2832781
    DOI: 10.1155/2019/2832781
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    References listed on IDEAS

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    1. Tu, Zhengwen & Ding, Nan & Li, Liangliang & Feng, Yuming & Zou, Limin & Zhang, Wei, 2017. "Adaptive synchronization of memristive neural networks with time-varying delays and reaction–diffusion term," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 118-128.
    2. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Yang, Yixian, 2018. "Adaptive synchronization of memristor-based BAM neural networks with mixed delays," Applied Mathematics and Computation, Elsevier, vol. 322(C), pages 100-110.
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    1. Ouannas, Adel & Batiha, Iqbal M. & Bekiros, Stelios & Liu, Jinping & Jahanshahi, Hadi & Aly, Ayman A. & Alghtani, Abdulaziz H., 2021. "Synchronization of the glycolysis reaction-diffusion model via linear control law," LSE Research Online Documents on Economics 112776, London School of Economics and Political Science, LSE Library.

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