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Event-triggered synchronization of fractional-order complex-valued BAM neural networks with application to image encryption

Author

Listed:
  • Yazhini, M.
  • Samidurai, R.
  • Shang, Y.

Abstract

This study explores the issue of synchronizing fractional-order complex-valued bidirectional associative memory neural networks with time-varying delays, employing an event-triggered control (ETC) strategy. Unlike existing approaches that rely on decomposition methods, this study employs a Lyapunov direct approach to derive sufficient conditions for synchronization. The proposed ETC mechanism significantly reduces communication and energy consumption by updating control signals only at event-triggered instants determined by a rigorously defined triggering condition. Using fractional Lyapunov-Krasovskii functionals and Razumikhin-type stability criteria, the paper guarantees global Mittag-Leffler synchronization despite the presence of fractional-order dynamics and time delays. Furthermore, the proposed ETC scheme ensures practical implementation by excluding Zeno behavior through strictly positive inter-event intervals. The effectiveness of the theoretical results is demonstrated through numerical simulations, and their practical relevance is highlighted by applying the proposed synchronization strategy to secure image encryption.

Suggested Citation

  • Yazhini, M. & Samidurai, R. & Shang, Y., 2026. "Event-triggered synchronization of fractional-order complex-valued BAM neural networks with application to image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    • Handle: RePEc:eee:chsofr:v:203:y:2026:i:c:s0960077925016790
    DOI: 10.1016/j.chaos.2025.117666
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    References listed on IDEAS

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    1. Hao, Zhang & Xing-yuan, Wang & Peng-fei, Yan & Yu-jie, Sun, 2020. "Combination synchronization and stability analysis of time-varying complex-valued neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    2. Bharti, Jyotsna Kumari & Murugesan, K. & Balasubramaniam, P., 2025. "Matrix projective combination synchronization of time-delayed chaotic system and its application in image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 232(C), pages 311-345.
    3. Li, Hong-Li & Zhang, Long & Hu, Cheng & Jiang, Haijun & Cao, Jinde, 2020. "Global Mittag-Leffler synchronization of fractional-order delayed quaternion-valued neural networks: Direct quaternion approach," Applied Mathematics and Computation, Elsevier, vol. 373(C).
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    5. Fang, Qi & Wang, Mingzhu & Li, Xiaodi, 2023. "Event-triggered distributed delayed impulsive control for nonlinear systems with applications to complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    6. Grienggrai Rajchakit & Pharunyou Chanthorn & Pramet Kaewmesri & Ramalingam Sriraman & Chee Peng Lim, 2020. "Global Mittag–Leffler Stability and Stabilization Analysis of Fractional-Order Quaternion-Valued Memristive Neural Networks," Mathematics, MDPI, vol. 8(3), pages 1-29, March.
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