四川大学学报(自然科学版)2021,Vol.58Issue(4):6-14,9.DOI:10.19907/j.0490-6756.2021.041002
含快变时滞的格FitzHugh-Nagumo系统的拉回吸引子
Pullback attractors for lattice FitzHugh-Nagumo systems with fast-varying delays
摘要
Abstract
We investigate the dynamical behavior of lattice FitzHugh-Nagumo equations with fast-varying delays and prove the existence and uniqueness of pullback attractor for the equations .Generally ,stud-ying the attractors of time-varying delay equations require that the derivative of the delay term is less than 1 (slow-varying delay) .In this paper ,by using some differential inequality techniques ,we remove this constraint .Thus our method can be used to deal with equations with fast-varying delays .关键词
全局吸引子/格/FitzHugh-Nagumo系统/快变时滞Key words
Global attractor/Lattice/FitzHugh-Nagumo system/Fast-varying delay分类
数理科学引用本文复制引用
王学敏..含快变时滞的格FitzHugh-Nagumo系统的拉回吸引子[J].四川大学学报(自然科学版),2021,58(4):6-14,9.基金项目
国家自然科学基金(11871049) (11871049)
四川省科技项目(2019YJ0215) (2019YJ0215)