Li, Jing; Lv, Zhen; Liu, Di; Xu, Yong Stochastic vibration analysis of a nonlinear oscillator with symmetric viscoelastic impact protection under wide-band noise excitations. (English) Zbl 07699916 Meccanica 57, No. 7, 1491-1503 (2022). MSC: 70L05 74H50 PDFBibTeX XMLCite \textit{J. Li} et al., Meccanica 57, No. 7, 1491--1503 (2022; Zbl 07699916) Full Text: DOI
Liu, Di; Xu, Yong Random disordered periodical input induced chaos in discontinuous systems. (English) Zbl 1415.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950002, 16 p. (2019). MSC: 34A36 34F05 34E15 37C60 37J45 34C28 PDFBibTeX XMLCite \textit{D. Liu} and \textit{Y. Xu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950002, 16 p. (2019; Zbl 1415.34043) Full Text: DOI
Liu, Di; Xu, Yong; Li, Junlin Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise. (English) Zbl 1380.70048 Chaos Solitons Fractals 104, 806-812 (2017). MSC: 70L05 70K65 60H10 PDFBibTeX XMLCite \textit{D. Liu} et al., Chaos Solitons Fractals 104, 806--812 (2017; Zbl 1380.70048) Full Text: DOI
Xu, Yong; Li, Yongge; Liu, Di A method to stochastic dynamical systems with strong nonlinearity and fractional damping. (English) Zbl 1353.34067 Nonlinear Dyn. 83, No. 4, 2311-2321 (2016). MSC: 34F05 34A37 34E13 PDFBibTeX XMLCite \textit{Y. Xu} et al., Nonlinear Dyn. 83, No. 4, 2311--2321 (2016; Zbl 1353.34067) Full Text: DOI
Liu, Di; Li, Jing; Xu, Yong Principal resonance responses of SDOF systems with small fractional derivative damping under narrow-band random parametric excitation. (English) Zbl 1473.70056 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3642-3652 (2014). MSC: 70K55 70K28 26A33 34A08 PDFBibTeX XMLCite \textit{D. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3642--3652 (2014; Zbl 1473.70056) Full Text: DOI
Xu, Yong; Guo, Rong; Liu, Di; Zhang, Huiqing; Duan, Jinqiao Stochastic averaging principle for dynamical systems with fractional Brownian motion. (English) Zbl 1314.60122 Discrete Contin. Dyn. Syst., Ser. B 19, No. 4, 1197-1212 (2014). MSC: 60H10 60G22 60H05 34F05 37H10 93E03 PDFBibTeX XMLCite \textit{Y. Xu} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 4, 1197--1212 (2014; Zbl 1314.60122) Full Text: DOI arXiv
Liu, Di; Xu, Wei; Xu, Yong Stochastic response of an axially moving viscoelastic beam with fractional order constitutive relation and random excitations. (English) Zbl 1345.74068 Acta Mech. Sin. 29, No. 3, 443-451 (2013). MSC: 74K10 74D05 35Q74 35R11 74H50 PDFBibTeX XMLCite \textit{D. Liu} et al., Acta Mech. Sin. 29, No. 3, 443--451 (2013; Zbl 1345.74068) Full Text: DOI
Xu, Yong; Li, Yongge; Liu, Di; Jia, Wantao; Huang, Hui Responses of Duffing oscillator with fractional damping and random phase. (English) Zbl 1279.34095 Nonlinear Dyn. 74, No. 3, 745-753 (2013). MSC: 34L10 93C80 37H99 60J75 PDFBibTeX XMLCite \textit{Y. Xu} et al., Nonlinear Dyn. 74, No. 3, 745--753 (2013; Zbl 1279.34095) Full Text: DOI