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<p>The objective of this research is to examine a class of delayed octonion-valued BAM neural networks and analyze the existence and exponential synchronization of almost periodic solutions. Given the non-commutative and non-associative nature of octonion algebra multiplication, we establish the existence and exponential synchronization of almost periodic solutions for time-delayed octonion-valued BAM neural networks using the Banach fixed point theorem, direct method, and the Lyapunov functional method. As a conclusive illustration, a simulation is presented herein to showcase the viability and efficacy of the findings.</p>

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Dynamical analysis of almost periodic solutions for delayed octonion-valued BAM neural networks

  • 期刊论文

  • 发表日期：

    2025年2月10日

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  • Jin Gao,
  • Lihua Dai,
  • Min Xiao

摘要

The objective of this research is to examine a class of delayed octonion-valued BAM neural networks and analyze the existence and exponential synchronization of almost periodic solutions. Given the non-commutative and non-associative nature of octonion algebra multiplication, we establish the existence and exponential synchronization of almost periodic solutions for time-delayed octonion-valued BAM neural networks using the Banach fixed point theorem, direct method, and the Lyapunov functional method. As a conclusive illustration, a simulation is presented herein to showcase the viability and efficacy of the findings.