Random uniform attractors for fractional stochastic FitzHugh-Nagumo lattice systems

被引:0
|
作者
Li, Xintao [1 ]
Gao, Yunlong [1 ]
机构
[1] Liupanshui Normal Univ, Sch Math & Stat, Liupanshui 553004, Peoples R China
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 08期
关键词
fractional stochastic FitzHugh-Nagumo lattice systems; multiplicative noise; random uniform attractor; almost periodic symbol; PULLBACK ATTRACTORS; EQUATIONS; REGULARITY; STABILITY; LAPLACIAN; DYNAMICS; DRIVEN;
D O I
10.3934/math.20241083
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The present study focuses on the asymptotic behavior of fractional stochastic FitzHughNagumo lattice systems with multiplicative noise. First, we investigate the well-posedness of solutions for these stochastic systems and subsequently establish the existence and uniqueness of tempered random uniform attractors.
引用
收藏
页码:22251 / 22270
页数:20
相关论文
共 50 条
  • [31] Optimal control of stochastic FitzHugh-Nagumo equation
    Barbu, Viorel
    Cordoni, Francesco
    Di Persio, Luca
    INTERNATIONAL JOURNAL OF CONTROL, 2016, 89 (04) : 746 - 756
  • [32] Limit dynamics for the stochastic FitzHugh-Nagumo system
    Lv, Yan
    Wang, Wei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 3091 - 3105
  • [33] STOCHASTIC RESONANCE IN AN ELECTRONIC FITZHUGH-NAGUMO MODEL
    MOSS, F
    DOUGLASS, JK
    WILKENS, L
    PIERSON, D
    PANTAZELOU, E
    STOCHASTIC PROCESSES IN ASTROPHYSICS, 1993, 706 : 26 - 41
  • [34] FRONTS IN SUBDIFFUSIVE FITZHUGH-NAGUMO SYSTEMS
    Nepomnyashchy, A. A.
    Volpert, V. A.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2019, 14 (05)
  • [35] Weak solutions for stochastic FitzHugh-Nagumo equations
    de Magalhaes, PMD
    Coayla-Terán, EA
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2003, 21 (02) : 443 - 463
  • [36] Stochastic resonance in FitzHugh-Nagumo neural model
    Zhou, Dengrong
    Gong, Jianchun
    Li, Dan
    AUTOMATIC CONTROL AND MECHATRONIC ENGINEERING II, 2013, 415 : 298 - +
  • [37] Ghost stochastic resonance in FitzHugh-Nagumo circuit
    Bordet, M.
    Morfu, S.
    Marquie, P.
    ELECTRONICS LETTERS, 2014, 50 (12) : 861 - 862
  • [38] Synchronization of the coupled FitzHugh-Nagumo systems
    Uçar, A
    Lonngren, KE
    Bai, EW
    CHAOS SOLITONS & FRACTALS, 2004, 20 (05) : 1085 - 1090
  • [39] Asymptotic behavior of stochastic FitzHugh-Nagumo systems on unbounded thin domains
    Shi, Lin
    Wang, Renhai
    Lu, Kening
    Wang, Bixiang
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (07) : 4373 - 4409
  • [40] Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise
    Zheng, Yan
    Huang, Jian-hua
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2011, 32 (01) : 11 - 22