Chen, Hebai; Tang, Yilei; Xiao, Dongmei On the uniqueness of limit cycles in second-order oscillators. (English) Zbl 1523.34030 J. Differ. Equations 370, 140-166 (2023). Reviewer: Wilker Fernandes (São João del-Rei) MSC: 34C05 34C15 34C23 34D23 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Differ. Equations 370, 140--166 (2023; Zbl 1523.34030) Full Text: DOI
Wang, Zhaoxia; Chen, Hebai; Tang, Yilei The focus case of a nonsmooth Rayleigh-Duffing oscillator. (English) Zbl 1517.34045 Nonlinear Dyn. 107, No. 1, 269-311 (2022). MSC: 34C07 34C23 34C37 34K18 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Dyn. 107, No. 1, 269--311 (2022; Zbl 1517.34045) Full Text: DOI
Ferčec, Brigita; Romanovski, Valery G.; Tang, Yilei; Zhang, Ling Integrability and bifurcation of a three-dimensional circuit differential system. (English) Zbl 1509.34001 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4573-4588 (2022). MSC: 34A05 34C07 34C23 34C29 37J35 34C14 94C60 34C60 34D20 34C45 PDFBibTeX XMLCite \textit{B. Ferčec} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4573--4588 (2022; Zbl 1509.34001) Full Text: DOI
Chen, Hebai; Tang, Yilei; Xiao, Dongmei Global dynamics of hybrid van der Pol-Rayleigh oscillators. (English) Zbl 1496.34063 Physica D 428, Article ID 133021, 16 p. (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C15 34C07 34C23 PDFBibTeX XMLCite \textit{H. Chen} et al., Physica D 428, Article ID 133021, 16 p. (2021; Zbl 1496.34063) Full Text: DOI
Chen, Hebai; Llibre, Jaume; Tang, Yilei The limit cycles of the Higgins-Selkov systems. (English) Zbl 1486.34095 J. Nonlinear Sci. 31, No. 5, Paper No. 85, 25 p. (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 34C05 34C07 34C23 92C45 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 85, 25 p. (2021; Zbl 1486.34095) Full Text: DOI
Chen, Hebai; Jia, Man; Tang, Yilei A degenerate planar piecewise linear differential system with three zones. (English) Zbl 1472.34024 J. Differ. Equations 297, 433-468 (2021). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C05 34C23 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Differ. Equations 297, 433--468 (2021; Zbl 1472.34024) Full Text: DOI
Chen, Hebai; Tang, Yilei; Xiao, Dongmei Global dynamics of a quintic Liénard system with \(\mathbb{Z}_2\)-symmetry. I: Saddle case. (English) Zbl 1478.34033 Nonlinearity 34, No. 6, 4332-4372 (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C07 34C14 34C23 34C37 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinearity 34, No. 6, 4332--4372 (2021; Zbl 1478.34033) Full Text: DOI
Chen, Hebai; Tang, Yilei A proof of Euzébio-Pazim-Ponce’s conjectures for a degenerate planar piecewise linear differential system with three zones. (English) Zbl 1453.34056 Physica D 401, Article ID 132150, 22 p. (2020). MSC: 34C23 34A36 34C05 34D20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Tang}, Physica D 401, Article ID 132150, 22 p. (2020; Zbl 1453.34056) Full Text: DOI
Chen, Hebai; Tang, Yilei Global dynamics of the Josephson equation in \(TS^1\). (English) Zbl 1447.37056 J. Differ. Equations 269, No. 6, 4884-4913 (2020). Reviewer: Changjin Xu (Guiyang) MSC: 37J20 37J25 34A05 34A34 34C14 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Tang}, J. Differ. Equations 269, No. 6, 4884--4913 (2020; Zbl 1447.37056) Full Text: DOI
Chen, Hebai; Tang, Yilei At most two limit cycles in a piecewise linear differential system with three zones and asymmetry. (English) Zbl 1415.34041 Physica D 386-387, 23-30 (2019). MSC: 34A36 34C05 34D20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Tang}, Physica D 386--387, 23--30 (2019; Zbl 1415.34041) Full Text: DOI
Llibre, Jaume; Tang, Yilei Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center. (English) Zbl 1478.34040 Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1769-1784 (2019). Reviewer: Stefano Marò (Pisa) MSC: 34C07 34C29 34C25 34C05 34A36 34E10 34C23 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{Y. Tang}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1769--1784 (2019; Zbl 1478.34040) Full Text: DOI arXiv
Chen, Hebai; Tang, Yilei Proof of Artés-Llibre-Valls’s conjectures for the Higgins-Selkov and the Selkov systems. (English) Zbl 1459.34116 J. Differ. Equations 266, No. 11, 7638-7657 (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 34C23 92C45 34C05 34D20 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Tang}, J. Differ. Equations 266, No. 11, 7638--7657 (2019; Zbl 1459.34116) Full Text: DOI
Romanovski, Valery G.; Fernandes, Wilker; Tang, Yilei; Tian, Yun Linearizability and critical period bifurcations of a generalized Riccati system. (English) Zbl 1390.70056 Nonlinear Dyn. 90, No. 1, 257-269 (2017). MSC: 70K42 93B18 70K50 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., Nonlinear Dyn. 90, No. 1, 257--269 (2017; Zbl 1390.70056) Full Text: DOI arXiv
Fernandes, Wilker; Romanovski, Valery G.; Sultanova, Marzhan; Tang, Yilei Isochronicity and linearizability of a planar cubic system. (English) Zbl 1365.34062 J. Math. Anal. Appl. 450, No. 1, 795-813 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34M99 34C05 34C20 PDFBibTeX XMLCite \textit{W. Fernandes} et al., J. Math. Anal. Appl. 450, No. 1, 795--813 (2017; Zbl 1365.34062) Full Text: DOI arXiv