Zobrazeno 1 - 10
of 457
pro vyhledávání: '"Sun Xiaobin"'
Autor:
SUN Xiaobin, XU Jinfa
Publikováno v:
Hangkong gongcheng jinzhan, Vol 14, Iss 4, Pp 58-67 (2023)
The tilt-rotor unmanned aerial vehicle has the obvious trend of multi-rotor development, and modular design of tiltable rotor system is helpful to integrate assembly and can reduce design duplication. In this paper, a quad tilt-rotor unmanned aerial
Externí odkaz:
https://doaj.org/article/e26caff46018472b882444106d83dc51
Autor:
Sun, Xiaobin, Xie, Yingchao
In this paper, we study the averaging principle and central limit theorem for multi-scale stochastic differential equations with state-dependent switching. To accomplish this, we first study the Poisson equation associated with a Markov chain and the
Externí odkaz:
http://arxiv.org/abs/2304.04969
In this paper, we study the asymptotic behavior for multi-scale stochastic differential equations driven by L\'evy processes. The optimal strong convergence order 1/2 is obtained by studying the regularity estimates for the solution of Poisson equati
Externí odkaz:
http://arxiv.org/abs/2208.07560
In this paper, we aim to study the diffusion approximation for multi-scale McKean-Vlasov stochastic differential equations. More precisely, we prove the weak convergence of slow process $X^\varepsilon$ in $C([0,T];\mathbb{R}^n)$ towards the limiting
Externí odkaz:
http://arxiv.org/abs/2206.01928
Autor:
Gao, Peng, Sun, Xiaobin
In this paper, we study the strong and weak convergence rates for multi-scale one-dimensional stochastic Burgers equation. Based on the techniques of Galerkin approximation, Kolmogorov equation and Poisson equation, we obtain the slow component stron
Externí odkaz:
http://arxiv.org/abs/2204.03283
Publikováno v:
In Journal of Differential Equations 5 January 2025 414:405-454
In this paper, we aim to study the asymptotic behavior for multi-scale McKean-Vlasov stochastic dynamical systems. Firstly, we obtain a central limit type theorem, i.e, the deviation between the slow component $X^{\varepsilon}$ and the solution $\bar
Externí odkaz:
http://arxiv.org/abs/2112.08203
Publikováno v:
In Heliyon 15 August 2024 10(15)
Publikováno v:
In Journal of Differential Equations 25 July 2024 398:182-217
Autor:
Zhu, Jie, Lin, Tong, Niu, Shengli, Zhang, Yujiao, Han, Kuihua, Wang, Yongzheng, Yu, Hewei, Liu, Jisen, Zheng, Yue, Liu, Sitong, Geng, Jie, Yang, Zihao, Liang, Bo, Zhang, Huaji, Sun, Xiaobin
Publikováno v:
In Industrial Crops & Products July 2024 213