Bai, Fan; Bertram, Richard; Karamched, Bhargav R. A mathematical study of the efficacy of possible negative feedback pathways involved in neuronal polarization. (English) Zbl 1520.92014 J. Theor. Biol. 571, Article ID 111561, 11 p. (2023). MSC: 92C20 PDFBibTeX XMLCite \textit{F. Bai} et al., J. Theor. Biol. 571, Article ID 111561, 11 p. (2023; Zbl 1520.92014) Full Text: DOI
Dong, Hao; Du, Lin; Hu, Rongchun; Zhang, Shuo; Deng, Zichen Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance. (English) Zbl 07677968 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 25-35 (2023). MSC: 92-XX 74-XX PDFBibTeX XMLCite \textit{H. Dong} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 1, 25--35 (2023; Zbl 07677968) Full Text: DOI
Han, Ping; Xu, Wei; Wang, Liang; Ma, Shichao The most probable response of some prototypical stochastic nonlinear dynamical systems. (English) Zbl 1434.34056 Chaos Solitons Fractals 132, Article ID 109612, 8 p. (2020). MSC: 34F05 35Q84 PDFBibTeX XMLCite \textit{P. Han} et al., Chaos Solitons Fractals 132, Article ID 109612, 8 p. (2020; Zbl 1434.34056) Full Text: DOI
Ren, Zhicong; Xu, Wei An improved path integration method for nonlinear systems under Poisson white noise excitation. (English) Zbl 1433.70038 Appl. Math. Comput. 373, Article ID 125036, 14 p. (2020). MSC: 70L05 74H50 60H40 65C30 60H10 60J27 PDFBibTeX XMLCite \textit{Z. Ren} and \textit{W. Xu}, Appl. Math. Comput. 373, Article ID 125036, 14 p. (2020; Zbl 1433.70038) Full Text: DOI
Yue, Xiaole; Xu, Yong; Xu, Wei; Sun, Jian-Qiao Probabilistic response of dynamical systems based on the global attractor with the compatible cell mapping method. (English) Zbl 1514.60086 Physica A 516, 509-519 (2019). MSC: 60J20 34F05 PDFBibTeX XMLCite \textit{X. Yue} et al., Physica A 516, 509--519 (2019; Zbl 1514.60086) Full Text: DOI Link
Han, Qun; Xu, Wei; Hu, Bing; Huang, Dongmei; Sun, Jian-Qiao Extinction time of a stochastic predator-prey model by the generalized cell mapping method. (English) Zbl 1493.92049 Physica A 494, 351-366 (2018). MSC: 92D25 60H40 PDFBibTeX XMLCite \textit{Q. Han} et al., Physica A 494, 351--366 (2018; Zbl 1493.92049) Full Text: DOI
Du, Lin; Zhao, Yunping; Lei, Youming; Hu, Jian; Yue, Xiaole Suppression of chaos in a generalized Duffing oscillator with fractional-order deflection. (English) Zbl 1398.34089 Nonlinear Dyn. 92, No. 4, 1921-1933 (2018). MSC: 34H10 34A08 37D45 37C29 34C37 PDFBibTeX XMLCite \textit{L. Du} et al., Nonlinear Dyn. 92, No. 4, 1921--1933 (2018; Zbl 1398.34089) Full Text: DOI
Wang, Liang; Xue, Lili; Sun, Chunyan; Yue, Xiaole; Xu, Wei The response analysis of fractional-order stochastic system via generalized cell mapping method. (English) Zbl 1390.34031 Chaos 28, No. 1, 013118, 10 p. (2018). MSC: 34A08 34C60 34F05 34C15 PDFBibTeX XMLCite \textit{L. Wang} et al., Chaos 28, No. 1, 013118, 10 p. (2018; Zbl 1390.34031) Full Text: DOI
Han, Qun; Xu, Wei; Sun, Jian-Qiao Stochastic response and bifurcation of periodically driven nonlinear oscillators by the generalized cell mapping method. (English) Zbl 1400.60090 Physica A 458, 115-125 (2016). MSC: 60H30 37H10 PDFBibTeX XMLCite \textit{Q. Han} et al., Physica A 458, 115--125 (2016; Zbl 1400.60090) Full Text: DOI
Yang, Yongge; Xu, Wei; Yang, Guidong; Jia, Wantao Response analysis of a class of quasi-linear systems with fractional derivative excited by Poisson white noise. (English) Zbl 1378.34023 Chaos 26, No. 8, 084302, 8 p. (2016). MSC: 34A08 34F05 34C60 60G22 PDFBibTeX XMLCite \textit{Y. Yang} et al., Chaos 26, No. 8, 084302, 8 p. (2016; Zbl 1378.34023) Full Text: DOI
Li, Zhenbo; Tang, Jiashi A generalized Padé-Lindstedt-Poincaré method for predicting homoclinic and heteroclinic bifurcations of strongly nonlinear autonomous oscillators. (English) Zbl 1354.34079 Nonlinear Dyn. 84, No. 3, 1201-1223 (2016). MSC: 34C37 37C29 37G15 34C15 34C23 PDFBibTeX XMLCite \textit{Z. Li} and \textit{J. Tang}, Nonlinear Dyn. 84, No. 3, 1201--1223 (2016; Zbl 1354.34079) Full Text: DOI
Han, Qun; Xu, Wei; Yue, Xiaole; Zhang, Ying First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method. (English) Zbl 1351.60117 Commun. Nonlinear Sci. Numer. Simul. 23, No. 1-3, 220-228 (2015). MSC: 60K20 PDFBibTeX XMLCite \textit{Q. Han} et al., Commun. Nonlinear Sci. Numer. Simul. 23, No. 1--3, 220--228 (2015; Zbl 1351.60117) Full Text: DOI
Hong, Ling; Jiang, Jun; Sun, Jian-Qiao Fuzzy responses and bifurcations of a forced Duffing oscillator with a triple-well potential. (English) Zbl 1309.34055 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 1, Article ID 1550005, 14 p. (2015). MSC: 34C15 34C23 34A07 54A40 03E72 PDFBibTeX XMLCite \textit{L. Hong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 1, Article ID 1550005, 14 p. (2015; Zbl 1309.34055) Full Text: DOI
Guo, Kong-Ming; Jiang, Jun Stochastic sensitivity analysis of periodic attractors in non-autonomous nonlinear dynamical systems based on stroboscopic map. (English) Zbl 1334.37022 Phys. Lett., A 378, No. 34, 2518-2523 (2014). MSC: 37C75 34D10 37H10 93E03 37N20 37M05 PDFBibTeX XMLCite \textit{K.-M. Guo} and \textit{J. Jiang}, Phys. Lett., A 378, No. 34, 2518--2523 (2014; Zbl 1334.37022) Full Text: DOI