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杨爽

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  • 教师英文名称: Shuang Yang
  • 性别: 女
  • 在职信息: 博士后
  • 所在单位: 数学与统计学院
  • 学历: 研究生(博士)毕业

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Dynamical stability of random delayed FitzHugh-Nagumo lattice systems driven by nonlinear Wong-Zakai noise

发布时间:2022-12-08
点击次数:
论文编号:
111512
第一作者:
Shuang Yang
发表刊物:
Journal of Mathematical Physics
收录刊物:
SCI
刊物所在地:
UNITED STATES
卷号:
63
期号:
11
ISSN号:
0022-2488
关键字:
Random delayed lattice system; FitzHugh-Nagumo system; Nonlinear Wong-Zakai noise; Pullback random attractor; Upper semicontinuity
DOI码:
10.1063/5.0125383
发表时间:
2022-11-01
摘要:
In this paper, two problems related to FitzHugh–Nagumo lattice systems are analyzed. The first one is concerned with the asymptotic behavior of random delayed FitzHugh-Nagumo lattice systems driven by nonlinear Wong–Zakai noise. We obtain a new result ensuring that such a system approximates the corresponding deterministic system when the correlation time of Wong–Zakai noise goes to infinity rather than to zero. We first prove the existence of tempered random attractors for the random delayed lattice systems with a nonlinear drift function and a nonlinear diffusion term. The pullback asymptotic compactness of solutions is proved thanks to the Ascoli–Arzelà theorem and uniform tail-estimates. We then show the upper semicontinuity of attractors as the correlation time tends to infinity. As for the second problem, we consider the corresponding deterministic version of the previous model and study the convergence of attractors when the delay approaches zero. That is, the upper semicontinuity of attractors for the delayed system to the non-delayed one is proved.
发布期刊链接:
https://doi.org/10.1063/5.0125383