Luo, Jie; Er, Guo-Kang; Iu, Vai Pan Transient probability density of nonlinear oscillator under parametric harmonic and external modulated stochastic excitations. (English) Zbl 1534.70040 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107754, 19 p. (2024). Reviewer: Luis Vázquez (Madrid) MSC: 70L05 70K40 70K28 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kun; Wang, Jing; Jia, Shuanping; Zhu, Zhihui; Yu, Zhiwu; Xu, Lei Non-stationary nonzero mean probabilistic solutions of nonlinear stochastic oscillators subjected to both additive and multiplicative excitations. (English) Zbl 1539.60073 Chin. J. Phys., Taipei 81, 64-77 (2023). MSC: 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Fei-Fan; Wang, Qiuwei; Shi, Qingxuan; Guo, Siu-Siu A generalized method for the stationary probabilistic response of nonlinear dynamical system. (English) Zbl 07677521 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107228, 16 p. (2023). MSC: 65-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Siu-Siu; Shi, Qingxuan; Xu, Zhao-Dong Probabilistic solution for an MDOF hysteretic degrading system to modulated non-stationary excitations. (English) Zbl 1511.70028 Acta Mech. 234, No. 3, 1105-1120 (2023). MSC: 70L05 70K40 74H50 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Siu-Siu; Shi, Qingxuan; Xu, Zhao-Dong Stochastic response of MDOF system to non-stationary random excitation. (English) Zbl 1481.60129 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105798, 21 p. (2021). MSC: 60H30 34F05 37H10 70L05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Lincong; Sun, J. Q. A highly-efficient method for stationary response of multi-degree-of-freedom nonlinear stochastic systems. (English) Zbl 1457.37071 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 6, 967-982 (2020). MSC: 37H10 60H40 70L05 60H30 × Cite Format Result Cite Review PDF Full Text: DOI
Er, G. K.; Wang, K.; Iu, V. P. Probabilistic solutions of the in-plane nonlinear random vibrations of shallow cables under filtered Gaussian white noise. (English) Zbl 1535.74351 Int. J. Struct. Stab. Dyn. 18, No. 4, Article ID 1850062, 15 p. (2018). MSC: 74H50 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Yahui; Hong, Ling; Yang, Yongge; Sun, Jian-Qiao Probabilistic response of nonsmooth nonlinear systems under Gaussian white noise excitations. (English) Zbl 1514.60079 Physica A 508, 111-117 (2018). MSC: 60H99 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Nan; Majda, Andrew J.; Tong, Xin T. Rigorous analysis for efficient statistically accurate algorithms for solving Fokker-Planck equations in large dimensions. (English) Zbl 1410.35244 SIAM/ASA J. Uncertain. Quantif. 6, 1198-1223 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q84 76F55 65C05 37C75 93B05 82C31 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Nan; Majda, Andrew J. Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions. (English) Zbl 1380.60055 J. Comput. Phys. 354, 242-268 (2018). MSC: 60H10 35Q84 34K50 34K23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Siu-Siu; Shi, Qingxuan Probabilistic solutions of nonlinear oscillators excited by combined colored and white noise excitations. (English) Zbl 1451.34079 Commun. Nonlinear Sci. Numer. Simul. 44, 414-423 (2017). MSC: 34F05 60H25 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Siu-Siu; Shi, Qingquan Probabilistic solutions of nonlinear oscillators to subject random colored noise excitations. (English) Zbl 1369.74017 Acta Mech. 228, No. 1, 255-267 (2017). MSC: 74C15 74F05 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Er, Guo-Kang Probabilistic solutions of some multi-degree-of-freedom nonlinear stochastic dynamical systems excited by filtered Gaussian white noise. (English) Zbl 1344.65014 Comput. Phys. Commun. 185, No. 4, 1217-1222 (2014). MSC: 65C30 35Q84 35R60 37H10 × Cite Format Result Cite Review PDF Full Text: DOI