Li, Yang; Xu, Shengyuan; Duan, Jinqiao; Liu, Xianbin; Chu, Yuming A machine learning method for computing quasi-potential of stochastic dynamical systems. (English) Zbl 1519.37046 Nonlinear Dyn. 109, No. 3, 1877-1886 (2022). MSC: 37H10 35R60 60H10 35Q84 37M10 82C05 PDFBibTeX XMLCite \textit{Y. Li} et al., Nonlinear Dyn. 109, No. 3, 1877--1886 (2022; Zbl 1519.37046) Full Text: DOI
Zhao, Feng; Li, Yang; Liu, Xian-bin Noise induced escape from stable invariant tori. (English) Zbl 07632697 J. Stat. Mech. Theory Exp. 2022, No. 10, Article ID 103206, 26 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{F. Zhao} et al., J. Stat. Mech. Theory Exp. 2022, No. 10, Article ID 103206, 26 p. (2022; Zbl 07632697) Full Text: DOI
Yu, Qing; Liu, Xianbin Noise-induced transition in the Zeldovich-Semenov model with local and global bifurcations. (English) Zbl 07475120 J. Stat. Mech. Theory Exp. 2022, No. 1, Article ID 013207, 20 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{Q. Yu} and \textit{X. Liu}, J. Stat. Mech. Theory Exp. 2022, No. 1, Article ID 013207, 20 p. (2022; Zbl 07475120) Full Text: DOI
Yu, Qing; Liu, Xianbin Self-induced stochastic resonance in an excitable potential well. (English) Zbl 07411294 Phys. Lett., A 410, Article ID 127520, 9 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{Q. Yu} and \textit{X. Liu}, Phys. Lett., A 410, Article ID 127520, 9 p. (2021; Zbl 07411294) Full Text: DOI
Li, Yang; Wang, Jianlong; Liu, Xianbin Quasi-threshold phenomenon in noise-driven Higgins model. (English) Zbl 1461.60040 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105441, 11 p. (2020). MSC: 60H10 34C60 35R60 92C42 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105441, 11 p. (2020; Zbl 1461.60040) Full Text: DOI
Zhu, Jinjie; Wang, Jiong; Gao, Shang; Liu, Xianbin Dispersion of the prehistory distribution for non-gradient systems. (English) Zbl 1456.60223 J. Stat. Mech. Theory Exp. 2020, No. 2, Article ID 023207, 14 p. (2020). MSC: 60J70 82C05 82M60 65C05 PDFBibTeX XMLCite \textit{J. Zhu} et al., J. Stat. Mech. Theory Exp. 2020, No. 2, Article ID 023207, 14 p. (2020; Zbl 1456.60223) Full Text: DOI
Li, Yang; Duan, Jinqiao; Liu, Xianbin; Zhang, Yanxia Most probable dynamics of stochastic dynamical systems with exponentially light jump fluctuations. (English) Zbl 1450.37009 Chaos 30, No. 6, 063142, 11 p. (2020). MSC: 37A50 60G15 60H40 PDFBibTeX XMLCite \textit{Y. Li} et al., Chaos 30, No. 6, 063142, 11 p. (2020; Zbl 1450.37009) Full Text: DOI arXiv
Zhu, Jinjie; Liu, Xianbin; Wang, Jiong Excitability inflection for exit problem in class 1 excitable systems. (English) Zbl 07563358 Physica A 523, 112-119 (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{J. Zhu} et al., Physica A 523, 112--119 (2019; Zbl 07563358) Full Text: DOI
Li, Yang; Liu, Xianbin Noise induced escape in one-population and two-population stochastic neural networks with internal states. (English) Zbl 1409.34050 Chaos 29, No. 2, 023137, 12 p. (2019). MSC: 34C60 34F05 34E20 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X. Liu}, Chaos 29, No. 2, 023137, 12 p. (2019; Zbl 1409.34050) Full Text: DOI
Kong, Chen; Liu, Xian-Bin Noise-induced chaos in a piecewise linear system. (English) Zbl 1373.34093 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 9, Article ID 1750137, 16 p. (2017). MSC: 34F05 34A36 34C28 PDFBibTeX XMLCite \textit{C. Kong} and \textit{X.-B. Liu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 9, Article ID 1750137, 16 p. (2017; Zbl 1373.34093) Full Text: DOI