Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise | Zendy

YiJu Chen | Zendy; Xiaohu Wang | Zendy

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Asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise

Author(s) -

YiJu Chen,

Xiaohu Wang

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2021271

Subject(s) - attractor , mathematics , multiplicative function , lattice (music) , fractional laplacian , multiplicative noise , discrete mathematics , pure mathematics , mathematical analysis , physics , computer science , signal transfer function , digital signal processing , acoustics , analog signal , computer hardware

In this paper, we study the asymptotic behavior of non-autonomous fractional stochastic lattice systems with multiplicative noise. The considered systems are driven by the fractional discrete Laplacian, which features the infinite-range interactions. We first prove the existence of pullback random attractor in \begin{document}$ \ell^2 $\end{document} for stochastic lattice systems. The upper semicontinuity of random attractors is also established when the intensity of noise approaches zero.

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