个人简介
教育经历
时间 单位 学位
2011.9-2014.6 四川大学 理学博士
工作经历
时间 单位 职务
2014.7-2016.6 中科院 博士后
2016.6-2019.9 四川大学 特聘副研
2019.2-2020.2 英国伦敦帝国理工学院 访问学者
2019.10-至今 四川大学 副教授
科研项目
编号 项目名称
12071317 随机动力系统的两类静态逼近,国家自然科学基金面上项目,2021.01-2024. 12, 主持
2020YJ0328 随机动力系统的静态逼近,四川省科技厅应用基础项目,2020.01-2022.12, 主持
11501549 随机动力系统的逼近和跑出问题,国家自然科学基金青年基金, 2016.01-2018.12, 主持
2015M571145随机动力系统的光滑不变流形和叶层, 中国博士后科学基金, 2015.05-2016.06, 主持
12090013微分方程在随机外力驱动下的动力学行为,国家自然科学基金重大项目,2021.01-2025.12,参与
11831012 动力系统的复杂性和遍历性,国家自然科学基金重点项目,2019.01-2023.12,参与
近期论文
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1. J. Zhao and J. Shen(申俊), Smooth invariant manifolds for a randomly perturbed non-autonomous coupled system and their approximations,J. Differential Equations,303, (2021), 86-122.
2. X. Wang, J. Shen(申俊), K. Lu and B. Wang, Wong -Zakai approximations and random attractors for non-autonomous stochastic lattice systems, J. Differential Equations,280 (2021) , 477–516.
3. X. Wang, D. Li and J. Shen(申俊), Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise. Discrete Contin. Dyn. Syst. Ser. B 26 (2021), no. 5, 2829–2855.
4. J. Zhao, J. Shen(申俊), X. Wang, Stationary approximations of inertial manifolds for stochastic retarded semilinear parabolic equations. J. Math. Anal. Appl. 506 (2022), no. 2, Paper No. 125668, 34 pp.
5. J. Shen(申俊),K. Lu and B. Wang, Invariant manifolds and foliations for random differential equations driven by colored noise. Discrete Contin. Dyn. Syst. 40 (2020), no. 11, 6201–6246.
6. J. Shen(申俊), K. Lu and W. Zhang, Smoothness of invariant manifolds and foliations for infinite dimensional random dynamical systems. Sci. China Math. 63 (2020), no. 9, 1877–1912.
7. J. Zhao, J. Shen(申俊)and K. Lu, Conjugate dynamics on center-manifolds for stochastic partial differential equations. J. Differential Equations 269 (2020), no. 7, 5997–6054.
8. S. Chen and J. Shen (申俊), Large spectral gap induced by small delay and its application to reduction. Discrete Contin. Dyn. Syst. 40 (2020), no. 7, 4533–4564.
9. J. Shen(申俊), K. Lu and B.Wang, Convergence and center manifolds for differential equations driven by colored noise. Discrete Contin. Dyn. Syst. 39 (2019), no. 8, 4797–4840.
10. J. Shen(申俊),J. Zhao, K. Lu and B. Wang, The Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equations. J. Differential Equations 266 (2019), no. 8, 4568–4623.
11. J. Shen (申俊) and K. Lu, Wong-Zakai Approximations and center manifolds of stochastic differential equations, Journal of Differential Equations, 263(8), (2017), 4929-4977.
12. J. Shen (申俊), K. Lu and W. Zhang, Heteroclinic Chaotic Behavior Driven by a Brownian motion, Journal of Differential Equations, 255(11),(2013), 4185-4225.
13. Z. Du, Y. Li, J. Shen (申俊) and W. Zhang, Impact oscillators with homoclinic orbit tangent to the wall, Physica D: Nonlinear Phenomena, 245(1),(2013), 19-33.
14. Z. Jun, J. Shen (申俊) and Weinian Zhang, A powered Gronwall-type inequality and applications to stochastic differential equations, Discret and Continuous Dynamical Systems-Series A, 36(12), (2016), 7207-7234.
15. J. Shen (申俊) and Z. Du, Heteroclinic bifurcation in a class of planar piecewise smooth systems with multiple zones, Z. Angew. Math. Phys., 67(3), (2016),1-17.