Dynamical behaviors of non-autonomous fractional FitzHugh-Nagumo system driven by additive noise in

• 作 者: Chunxiao GUO Yiju CHEN Ji SHU Xinguaug YANG
• 机 构: Department of Mathematics, China University of Mining and Technology, Beijing 100083,China;Departmen
• 出 处: 中国数学前沿
• 发表日期: 2021年1期
• 关键词: Fractional stochastic FitzHugh-Nagumo system random attractor asymptotic compact

The regularity of random attractors is considered for the nonautonomous fractional stochastic FitzHugh-Nagumo system.We prove that the system has a pullback random attractor that is compact in Hs(Rn) × L2(Rn) and attracts all tempered random sets of L2(Rn) × L2(Rn) in the topology of Hs(Rn) × L2(Rn) with s ∈ (0,1).By the idea of positive and negative truncations,spectral decomposition in bounded domains,and tail estimates,we achieved the desired results.