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
Liang, Haihua; Huang, Jianfeng On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique. (English) Zbl 1508.34028 Appl. Anal. 101, No. 9, 3365-3388 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34A45 34C07 34B30 PDFBibTeX XMLCite \textit{H. Liang} and \textit{J. Huang}, Appl. Anal. 101, No. 9, 3365--3388 (2022; Zbl 1508.34028) Full Text: DOI
He, Zecen; Liang, Haihua; Zhang, Xiang Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems. (English) Zbl 1495.34053 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 421-441 (2022). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C07 34C41 PDFBibTeX XMLCite \textit{Z. He} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 421--441 (2022; Zbl 1495.34053) Full Text: DOI
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
Liang, Haihua; Li, Shimin; Zhang, Xiang Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type. (English) Zbl 1457.34031 Nonlinear Anal., Real World Appl. 58, Article ID 103228, 15 p. (2021). MSC: 34A36 34C07 34C05 PDFBibTeX XMLCite \textit{H. Liang} et al., Nonlinear Anal., Real World Appl. 58, Article ID 103228, 15 p. (2021; Zbl 1457.34031) Full Text: DOI
He, Zecen; Liang, Haihua The number of limit cycles for a class of quasi-homogeneous polynomial centers. (Chinese. English summary) Zbl 1449.34108 Math. Pract. Theory 49, No. 9, 311-320 (2019). MSC: 34C07 34C08 34C23 PDFBibTeX XMLCite \textit{Z. He} and \textit{H. Liang}, Math. Pract. Theory 49, No. 9, 311--320 (2019; Zbl 1449.34108)
Tian, Yuzhou; Liang, Haihua Planar semi-quasi homogeneous polynomial differential systems with a given degree. (English) Zbl 1434.37012 Qual. Theory Dyn. Syst. 18, No. 3, 841-871 (2019). MSC: 37C10 34C25 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{H. Liang}, Qual. Theory Dyn. Syst. 18, No. 3, 841--871 (2019; Zbl 1434.37012) Full Text: DOI arXiv
Liang, Haihua; Chen, Yuming; Cen, Xiuli Limit cycles bifurcating from a class of quasi-homogeneous polynomial center. (Chinese. English summary) Zbl 1413.34127 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 1, 1-9 (2018). MSC: 34C05 34C07 34C23 34E10 PDFBibTeX XMLCite \textit{H. Liang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 1, 1--9 (2018; Zbl 1413.34127)
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
Qiu, Bao Hua; Liang, Hai Hua Classification of global phase portrait of planar quintic quasi-homogeneous coprime polynomial systems. (English) Zbl 1400.34045 Qual. Theory Dyn. Syst. 16, No. 2, 417-451 (2017). MSC: 34C05 34C20 34C07 PDFBibTeX XMLCite \textit{B. H. Qiu} and \textit{H. H. Liang}, Qual. Theory Dyn. Syst. 16, No. 2, 417--451 (2017; Zbl 1400.34045) Full Text: DOI
Liang, Haihua; Torregrosa, Joan Weak-foci of high order and cyclicity. (English) Zbl 1396.34018 Qual. Theory Dyn. Syst. 16, No. 2, 235-248 (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C07 34C23 34C05 PDFBibTeX XMLCite \textit{H. Liang} and \textit{J. Torregrosa}, Qual. Theory Dyn. Syst. 16, No. 2, 235--248 (2017; Zbl 1396.34018) Full Text: DOI Link
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; Torregrosa, Joan Parallelization of the Lyapunov constants and cyclicity for centers of planar polynomial vector fields. (English) Zbl 1334.34070 J. Differ. Equations 259, No. 11, 6494-6509 (2015). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C25 34C07 PDFBibTeX XMLCite \textit{H. Liang} and \textit{J. Torregrosa}, J. Differ. Equations 259, No. 11, 6494--6509 (2015; Zbl 1334.34070) 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
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
Liang, Haihua; Wu, Kuilin; Zhao, Yulin Quadratic perturbations of a class of quadratic reversible center of genus one. (English) Zbl 1281.34056 Sci. China, Math. 56, No. 3, 577-596 (2013). MSC: 34C23 34C07 37G15 34C08 34C14 PDFBibTeX XMLCite \textit{H. Liang} et al., Sci. China, Math. 56, No. 3, 577--596 (2013; Zbl 1281.34056) Full Text: DOI
Liang, Hai Hua; Zhao, Yun Lin On the period function of a class of reversible quadratic centers. (English) Zbl 1226.34034 Acta Math. Sin., Engl. Ser. 27, No. 5, 905-918 (2011). Reviewer: Li Changpin (Logan) MSC: 34C05 34C07 34C08 34C14 PDFBibTeX XMLCite \textit{H. H. Liang} and \textit{Y. L. Zhao}, Acta Math. Sin., Engl. Ser. 27, No. 5, 905--918 (2011; Zbl 1226.34034) Full Text: DOI
Liang, Haihua; Zhao, Yulin Quadratic perturbations of a class of quadratic reversible systems with one center. (English) Zbl 1198.34050 Discrete Contin. Dyn. Syst. 27, No. 1, 325-335 (2010). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C08 37G15 34C23 PDFBibTeX XMLCite \textit{H. Liang} and \textit{Y. Zhao}, Discrete Contin. Dyn. Syst. 27, No. 1, 325--335 (2010; Zbl 1198.34050) Full Text: DOI
Liang, Haihua; Zhao, Yulin On the period function of reversible quadratic centers with their orbits inside quartics. (English) Zbl 1182.34059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5655-5671 (2009). Reviewer: Alexey Remizov (Trieste) MSC: 34C25 34C07 34C08 34C05 PDFBibTeX XMLCite \textit{H. Liang} and \textit{Y. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5655--5671 (2009; Zbl 1182.34059) Full Text: DOI