Traveling wave solutions of diffusive Hindmarsh–Rose-type equations with recurrent neural feedback

研究成果: 雜誌貢獻文章

摘要

From the perspective of bifurcation theory, this study investigates the existence of traveling wave solutions for diffusive Hindmarsh–Rose-type (dHR-type) equations with recurrent neural feedback (RNF). The applied model comprises two additional terms: 1) a diffusion term for the conduction process of action potentials and 2) a delay term. The delay term is introduced because if a neuron excites a second neuron, the second neuron, in turn, excites or inhibits the first neuron. To probe the existence of traveling wave solutions, this study applies center manifold reduction and a normal form method, and the results demonstrate the existence of a heteroclinic orbit of a three-dimensional vector for dHR-type equations with RNF near a fold–Hopf bifurcation. Finally, numerical simulations are presented.

原文英語
文章編號124513
期刊Journal of Mathematical Analysis and Applications
493
發行號1
DOIs
出版狀態已發佈 - 2021 一月 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

指紋 深入研究「Traveling wave solutions of diffusive Hindmarsh–Rose-type equations with recurrent neural feedback」主題。共同形成了獨特的指紋。

引用此