Scholarlink

<p>This work studies the existence and attractivity of periodic solutions in a class of reaction–diffusion systems with distributed multi-delays, motivated by neural field models and population dynamics. We consider a class of linear partial differential equation with multidelays. By combining semi-Fredholm operator perturbation and fixed-point methods, we derive sufficient conditions for the existence of periodic solutions under non-compacity assumption on the semigroup generated by the linear part of the equation. As a concrete application, we analyze a spatially extended neural field model with synaptic delays and provide numerical simulations to illustrate our results.</p>

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

Periodic Dynamics and Multidelays Effects in Neural Field Models: A Semi-Fredholm Approach

  • 期刊论文

  • 发表日期：

    2026年6月29日

查看全文
  • Ayoub Cheddour

摘要

This work studies the existence and attractivity of periodic solutions in a class of reaction–diffusion systems with distributed multi-delays, motivated by neural field models and population dynamics. We consider a class of linear partial differential equation with multidelays. By combining semi-Fredholm operator perturbation and fixed-point methods, we derive sufficient conditions for the existence of periodic solutions under non-compacity assumption on the semigroup generated by the linear part of the equation. As a concrete application, we analyze a spatially extended neural field model with synaptic delays and provide numerical simulations to illustrate our results.