Huang, Jianfeng; Liang, Haihua; Zhang, Xiang A new Chebyshev criterion and its application to planar differential systems. (English) Zbl 1516.34058 J. Differ. Equations 344, 658-695 (2023). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Differ. Equations 344, 658--695 (2023; Zbl 1516.34058) Full Text: DOI arXiv
Huang, Jianfeng; Liang, Haihua Limit cycles of planar system defined by the sum of two quasi-homogeneous vector fields. (English) Zbl 1471.34060 Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 861-873 (2021). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{J. Huang} and \textit{H. Liang}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 861--873 (2021; Zbl 1471.34060) Full Text: DOI arXiv
Huang, Jianfeng; Torregrosa, Joan; Villadelprat, Jordi On the number of limit cycles in generalized Abel equations. (English) Zbl 1472.34065 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2343-2370 (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C07 34C05 37C60 PDFBibTeX XMLCite \textit{J. Huang} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2343--2370 (2020; Zbl 1472.34065) Full Text: DOI
Huang, Jianfeng; Peng, Zhixiang Bifurcation of a kind of piecewise smooth generalized Abel equation via first and second order analyses. (English) Zbl 1465.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050247, 20 p. (2020). Reviewer: Yun Tian (Shanghai) MSC: 34C23 34A36 34C05 34C07 37C60 34E10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Peng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050247, 20 p. (2020; Zbl 1465.34053) Full Text: DOI
Huang, Jianfeng; Liang, Haihua A geometric criterion for equation \(\dot{x} = \sum\nolimits_{i = 0}^m a_i(t) x^i\) having at most \(m\) isolated periodic solutions. (English) Zbl 1436.34036 J. Differ. Equations 268, No. 10, 6230-6250 (2020). MSC: 34C25 37C60 PDFBibTeX XMLCite \textit{J. Huang} and \textit{H. Liang}, J. Differ. Equations 268, No. 10, 6230--6250 (2020; Zbl 1436.34036) Full Text: DOI arXiv
Jin, Yuye; Huang, Jianfeng On the study and application of limit cycles of a kind of piecewise smooth equation. (English) Zbl 1439.34024 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 15, 20 p. (2020). MSC: 34A36 34C07 37C60 34C05 PDFBibTeX XMLCite \textit{Y. Jin} and \textit{J. Huang}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 15, 20 p. (2020; Zbl 1439.34024) Full Text: DOI
Huang, Jianfeng; Jin, Yuye Bifurcation of a kind of 1D piecewise differential equation and its application to piecewise planar polynomial systems. (English) Zbl 1422.34133 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950072, 22 p. (2019). MSC: 34C23 34E10 34C05 34A36 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Y. Jin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 5, Article ID 1950072, 22 p. (2019; Zbl 1422.34133) Full Text: DOI
Huang, Jianfeng; Liang, Haihua; Llibre, Jaume Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities. (English) Zbl 1405.34027 J. Differ. Equations 265, No. 9, 3888-3913 (2018). Reviewer: Armengol Gasull (Barcelona) MSC: 34C07 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Differ. Equations 265, No. 9, 3888--3913 (2018; Zbl 1405.34027) Full Text: DOI Link
Huang, Jianfeng; Liang, Haihua A uniqueness criterion of limit cycles for planar polynomial systems with homogeneous nonlinearities. (English) Zbl 1378.34049 J. Math. Anal. Appl. 457, No. 1, 498-521 (2018). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 37C27 34C05 PDFBibTeX XMLCite \textit{J. Huang} and \textit{H. Liang}, J. Math. Anal. Appl. 457, No. 1, 498--521 (2018; Zbl 1378.34049) Full Text: DOI
Huang, Jianfeng; Liang, Haihua Estimate for the number of limit cycles of Abel equation via a geometric criterion on three curves. (English) Zbl 1382.34031 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 47, 31 p. (2017). MSC: 34C07 PDFBibTeX XMLCite \textit{J. Huang} and \textit{H. Liang}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 47, 31 p. (2017; Zbl 1382.34031) Full Text: DOI
Liang, Haihua; Huang, Jianfeng; Zhao, Yulin Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems. (English) Zbl 1345.34068 Nonlinear Dyn. 78, No. 3, 1659-1681 (2014). MSC: 34C20 34C07 PDFBibTeX XMLCite \textit{H. Liang} et al., Nonlinear Dyn. 78, No. 3, 1659--1681 (2014; Zbl 1345.34068) Full Text: DOI
Huang, Jianfeng; Zhao, Yulin Extended quasi-homogeneous polynomial system in \({\mathbb{R}^{3}}\). (English) Zbl 1356.34037 NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 6, 1771-1794 (2013). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C07 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Y. Zhao}, NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 6, 1771--1794 (2013; Zbl 1356.34037) Full Text: DOI
Liang, Haihua; Huang, Jianfeng Cyclicity of period annulus of a quadratic reversible system with degenerate critical point. (English) Zbl 1272.34040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350106, 8 p. (2013). MSC: 34C07 34C08 34C05 34C23 PDFBibTeX XMLCite \textit{H. Liang} and \textit{J. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350106, 8 p. (2013; Zbl 1272.34040) Full Text: DOI
Huang, Jianfeng; Zhao, Yunlin The projective vector field of a kind of three-dimensional quasi-homogeneous system on \(\mathbb S\). (English) Zbl 1226.34032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4088-4104 (2011). Reviewer: Valery A. Gaiko (Groningen) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Y. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4088--4104 (2011; Zbl 1226.34032) Full Text: DOI