Scholarlink

This research investigates the finite-time synchronization (FTSYN) of fractional-order (FO) reaction-diffusion systems (RDs) using the FitzHugh-Nagumo (FN) model. Employing FO calculus and Lyapunov stability theory, the study develops novel synchronization schemes and establishes finite-time stability (FTS). Numerical simulations validate theoretical findings, demonstrating the proposed methods’ practicality and effectiveness in achieving synchronization within a predefined time frame. The results significantly affect neural modeling, robotics, and communication networks. The proposed approach addresses the challenges posed by spatially distributed systems, providing a robust framework for rapid and reliable synchronization.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dynamics in Finite Time of the Fractional-Order FitzHugh-Nagumo Model: Stability, Synchronization, and Simulations

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Issam Bendib,
  • Adel Ouannas,
  • Mohammed Al Horani,
  • Mohamed Dalah

摘要

This research investigates the finite-time synchronization (FTSYN) of fractional-order (FO) reaction-diffusion systems (RDs) using the FitzHugh-Nagumo (FN) model. Employing FO calculus and Lyapunov stability theory, the study develops novel synchronization schemes and establishes finite-time stability (FTS). Numerical simulations validate theoretical findings, demonstrating the proposed methods’ practicality and effectiveness in achieving synchronization within a predefined time frame. The results significantly affect neural modeling, robotics, and communication networks. The proposed approach addresses the challenges posed by spatially distributed systems, providing a robust framework for rapid and reliable synchronization.