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New global exponential synchronization conditions for impulsive chaotic neural networks with multiple time-varying leakage and transmission delays: Applications for secure communications

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  • Chen, Guangxun
  • Wang, Yantao
  • Zhang, Xian

Abstract

The problem of global exponential synchronization for impulsive chaotic neural networks with multiple time-varying transmission and leakage delays is studied in this article. A system solution-based direct analysis method is proposed to obtain sufficient conditions for global exponential synchronization of master–slave systems. On the one hand, the method is convenient for handling synchronization problems involving multiple time-varying delays. On the other hand, this method does not require the establishment of Lyapunov–Krasovskii functional, which results in a significant reduction in computations and simplicity of the proof process. Based on the synchronization results, a secure communication method is proposed. In the end, three numerical examples and an application show that the proposed synchronization and secure communication methods are effective. Significantly, this article is the first to deal with the synchronization problem of impulsive chaotic neural networks with multiple time-varying leakage and transmission delays.

Suggested Citation

  • Chen, Guangxun & Wang, Yantao & Zhang, Xian, 2025. "New global exponential synchronization conditions for impulsive chaotic neural networks with multiple time-varying leakage and transmission delays: Applications for secure communications," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013948
    DOI: 10.1016/j.chaos.2024.115842
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    References listed on IDEAS

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