Zhao, Junyilang; Shen, Jun; Lu, Kening Persistence of \(C^1\) inertial manifolds under small random perturbations. (English) Zbl 07818497 J. Dyn. Differ. Equations 36, No. 1, Suppl., S333-S385 (2024). MSC: 60H15 60H40 35K58 37H10 37L55 35B42 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Dyn. Differ. Equations 36, No. 1, S333--S385 (2024; Zbl 07818497) Full Text: DOI
Zhao, Junyilang; Shen, Jun Persistence of smooth manifolds for a non-autonomous coupled system under small random perturbations. (English) Zbl 07806926 J. Differ. Equations 387, 200-255 (2024). MSC: 37L55 60H15 37D10 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{J. Shen}, J. Differ. Equations 387, 200--255 (2024; Zbl 07806926) Full Text: DOI
Zhao, Junyilang; Shen, Jun; Wang, Xiaohu Stationary approximations of inertial manifolds for stochastic retarded semilinear parabolic equations. (English) Zbl 1490.60193 J. Math. Anal. Appl. 506, No. 2, Article ID 125668, 34 p. (2022). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 37H10 34C28 60H40 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Math. Anal. Appl. 506, No. 2, Article ID 125668, 34 p. (2022; Zbl 1490.60193) Full Text: DOI
Zhao, Junyilang; Shen, Jun Smooth invariant manifolds for a randomly perturbed non-autonomous coupled system and their approximations. (English) Zbl 1481.37096 J. Differ. Equations 303, 86-122 (2021). MSC: 37L55 37L50 37L25 60H15 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{J. Shen}, J. Differ. Equations 303, 86--122 (2021; Zbl 1481.37096) Full Text: DOI
Zhao, Junyilang; Shen, Jun; Lu, Kening Conjugate dynamics on center-manifolds for stochastic partial differential equations. (English) Zbl 1444.60059 J. Differ. Equations 269, No. 7, 5997-6054 (2020). MSC: 60H10 37D10 37H10 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Differ. Equations 269, No. 7, 5997--6054 (2020; Zbl 1444.60059) Full Text: DOI
Li, Dingshi; Wang, Xiaohu; Zhao, Junyilang Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process. (English) Zbl 1439.35586 Commun. Pure Appl. Anal. 19, No. 5, 2751-2776 (2020). MSC: 35R60 35B40 37L55 35B41 37L30 PDFBibTeX XMLCite \textit{D. Li} et al., Commun. Pure Appl. Anal. 19, No. 5, 2751--2776 (2020; Zbl 1439.35586) Full Text: DOI
Zhao, Junyilang; Shen, Jun A new proof for the Hartman-Grobman theorem for random dynamical systems. (English) Zbl 1444.37044 Proc. Am. Math. Soc. 148, No. 1, 365-377 (2020). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 37H30 37H15 37H12 37C15 37C75 34F05 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{J. Shen}, Proc. Am. Math. Soc. 148, No. 1, 365--377 (2020; Zbl 1444.37044) Full Text: DOI
Shen, Jun; Zhao, Junyilang; Lu, Kening; Wang, Bixiang The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations. (English) Zbl 1418.60086 J. Differ. Equations 266, No. 8, 4568-4623 (2019). MSC: 60H15 37H10 37L55 37D10 PDFBibTeX XMLCite \textit{J. Shen} et al., J. Differ. Equations 266, No. 8, 4568--4623 (2019; Zbl 1418.60086) Full Text: DOI