He, Hongjin; Liu, Changjian; Xiao, Dongmei Configuration of planar Kolmogorov cubic polynomial differential systems with the most centers. (English) Zbl 07805441 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1549-1566 (2024). MSC: 34C05 34C25 34C45 PDFBibTeX XMLCite \textit{H. He} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1549--1566 (2024; Zbl 07805441) Full Text: DOI
Cen, Xiuli; Liu, Changjian; Sun, Yangjian; Wang, Jihua Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral. (English) Zbl 07741867 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1706-1728 (2023). Reviewer: Joan C. Artés (Barcelona) MSC: 34C07 34C23 34C08 PDFBibTeX XMLCite \textit{X. Cen} et al., Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1706--1728 (2023; Zbl 07741867) Full Text: DOI
Li, Chengzhi; Liu, Changjian A proof of a Dumortier-Roussarie’s conjecture. (English) Zbl 1512.34074 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 460-473 (2023). MSC: 34C07 34C08 37G15 PDFBibTeX XMLCite \textit{C. Li} and \textit{C. Liu}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 460--473 (2023; Zbl 1512.34074) Full Text: DOI
Lian, Hairong; Liu, Changjian; Yang, Jiazhong On the cyclicity of quasi-homogeneous polynomial systems. (English) Zbl 1507.34036 J. Math. Anal. Appl. 516, No. 2, Article ID 126510, 10 p. (2022). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C08 34C23 37J40 34E15 PDFBibTeX XMLCite \textit{H. Lian} et al., J. Math. Anal. Appl. 516, No. 2, Article ID 126510, 10 p. (2022; Zbl 1507.34036) Full Text: DOI
Ji, Guilin; Liu, Changjian The cyclicity of a class of quadratic reversible centers defining elliptic curves. (English) Zbl 1518.34044 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5883-5903 (2022). Reviewer: Alexander Rudenok (Minsk) MSC: 34C07 34C08 34C23 34C05 34C25 PDFBibTeX XMLCite \textit{G. Ji} and \textit{C. Liu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5883--5903 (2022; Zbl 1518.34044) Full Text: DOI
Liu, Changjian; Li, Chengzhi; Llibre, Jaume The cyclicity of the period annulus of a reversible quadratic system. (English) Zbl 1508.34030 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 281-290 (2022). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C07 34C08 34C23 34E10 34C14 34C05 PDFBibTeX XMLCite \textit{C. Liu} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 281--290 (2022; Zbl 1508.34030) Full Text: DOI Link
Ji, Gui Lin; Liu, Chang Jian; Li, Peng Heng Bifurcation of limit cycles for a perturbed piecewise quadratic differential systems. (English) Zbl 07499598 Acta Math. Sin., Engl. Ser. 38, No. 3, 591-611 (2022). MSC: 34A36 34C07 34C08 34C23 34E10 PDFBibTeX XMLCite \textit{G. L. Ji} et al., Acta Math. Sin., Engl. Ser. 38, No. 3, 591--611 (2022; Zbl 07499598) Full Text: DOI
Li, Jinming; Li, Chengzhi; Liu, Changjian; Wang, Dechen The period function of reversible Lotka-Volterra quadratic centers. (English) Zbl 1492.34032 J. Differ. Equations 307, 556-579 (2022). Reviewer: Yanqin Xiong (Nanjing) MSC: 34C05 34C07 34C25 92D25 PDFBibTeX XMLCite \textit{J. Li} et al., J. Differ. Equations 307, 556--579 (2022; Zbl 1492.34032) Full Text: DOI
Zhuang, Ziwei; Liu, Changjian A proof of the uniqueness of the limit cycle of a quasi-homogeneous system. arXiv:2201.08107 Preprint, arXiv:2201.08107 [math.DS] (2022). MSC: 34C07 34C25 37C27 BibTeX Cite \textit{Z. Zhuang} and \textit{C. Liu}, ``A proof of the uniqueness of the limit cycle of a quasi-homogeneous system'', Preprint, arXiv:2201.08107 [math.DS] (2022) Full Text: arXiv OA License
Li, Shimin; Liu, Changjian; Llibre, Jaume The planar discontinuous piecewise linear refracting systems have at most one limit cycle. (English) Zbl 1474.34286 Nonlinear Anal., Hybrid Syst. 41, Article ID 101045, 14 p. (2021). MSC: 34C37 34C07 37G15 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Anal., Hybrid Syst. 41, Article ID 101045, 14 p. (2021; Zbl 1474.34286) Full Text: DOI
Liu, Changjian; Xiao, Dongmei The smallest upper bound on the number of zeros of abelian integrals. (English) Zbl 1464.34057 J. Differ. Equations 269, No. 4, 3816-3852 (2020). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 PDFBibTeX XMLCite \textit{C. Liu} and \textit{D. Xiao}, J. Differ. Equations 269, No. 4, 3816--3852 (2020; Zbl 1464.34057) Full Text: DOI
Cen, Xiuli; Liu, Changjian; Zhao, Yulin New family of abelian integrals satisfying Chebyshev property. (English) Zbl 1464.34056 J. Differ. Equations 268, No. 12, 7561-7581 (2020). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 37G15 PDFBibTeX XMLCite \textit{X. Cen} et al., J. Differ. Equations 268, No. 12, 7561--7581 (2020; Zbl 1464.34056) Full Text: DOI
Dong, Guangfeng; Liu, Changjian; Yang, Jiazhong On the maximal saddle order of \(p:-q \) resonant saddle. (English) Zbl 1467.34031 Discrete Contin. Dyn. Syst. 39, No. 10, 5729-5742 (2019). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 PDFBibTeX XMLCite \textit{G. Dong} et al., Discrete Contin. Dyn. Syst. 39, No. 10, 5729--5742 (2019; Zbl 1467.34031) Full Text: DOI arXiv
Zou, Changwu; Liu, Changjian; Yang, Jiazhong On piecewise linear differential systems with \(n\) limit cycles of arbitrary multiplicities in two zones. (English) Zbl 1418.34035 Qual. Theory Dyn. Syst. 18, No. 1, 139-151 (2019). MSC: 34A36 34C05 34C07 PDFBibTeX XMLCite \textit{C. Zou} et al., Qual. Theory Dyn. Syst. 18, No. 1, 139--151 (2019; Zbl 1418.34035) Full Text: DOI
Cen, Xiuli; Liu, Changjian; Yang, Lijun; Zhang, Meirong Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems. (English) Zbl 1444.34032 J. Differ. Equations 265, No. 12, 6083-6126 (2018). MSC: 34A36 34C07 34C23 34C25 34E10 34C05 PDFBibTeX XMLCite \textit{X. Cen} et al., J. Differ. Equations 265, No. 12, 6083--6126 (2018; Zbl 1444.34032) Full Text: DOI
Liu, Changjian; Li, Chunhui; Wang, Xishun; Wu, Junqiao On the rational limit cycles of Abel equations. (English) Zbl 1391.34067 Chaos Solitons Fractals 110, 28-32 (2018). MSC: 34C07 PDFBibTeX XMLCite \textit{C. Liu} et al., Chaos Solitons Fractals 110, 28--32 (2018; Zbl 1391.34067) Full Text: DOI
Gao, Yunfei; Peng, Linping; Liu, Changjian Bifurcation of limit cycles from a class of piecewise smooth systems with two vertical straight lines of singularity. (English) Zbl 1387.37044 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750157, 13 p. (2017). Reviewer: A. P. Sadovskii (Minsk) MSC: 37G15 34C05 34C07 34D10 34K33 PDFBibTeX XMLCite \textit{Y. Gao} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 10, Article ID 1750157, 13 p. (2017; Zbl 1387.37044) Full Text: DOI
Huang, Jicai; Liu, Changjian; Wang, Jihua Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts. (English) Zbl 1360.34074 J. Math. Anal. Appl. 449, No. 1, 884-896 (2017). Reviewer: Alexey O. Remizov (Palaiseau) MSC: 34C07 34C08 34C23 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Math. Anal. Appl. 449, No. 1, 884--896 (2017; Zbl 1360.34074) Full Text: DOI
Li, Shimin; Liu, Changjian A linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential system. (English) Zbl 1327.34058 J. Math. Anal. Appl. 428, No. 2, 1354-1367 (2015). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C07 34C05 34C29 34C23 34A36 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Liu}, J. Math. Anal. Appl. 428, No. 2, 1354--1367 (2015; Zbl 1327.34058) Full Text: DOI
Dong, Guangfeng; Liu, Changjian; Yang, Jiazhong The complexity of generalized center problem. (English) Zbl 1323.34036 Qual. Theory Dyn. Syst. 14, No. 1, 11-23 (2015). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C20 PDFBibTeX XMLCite \textit{G. Dong} et al., Qual. Theory Dyn. Syst. 14, No. 1, 11--23 (2015; Zbl 1323.34036) Full Text: DOI
Peng, Linping; Feng, Zhaosheng; Liu, Changjian Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers. (English) Zbl 1308.34049 Discrete Contin. Dyn. Syst. 34, No. 11, 4807-4826 (2014). MSC: 34C23 34C07 34C05 34C14 34E10 37J45 PDFBibTeX XMLCite \textit{L. Peng} et al., Discrete Contin. Dyn. Syst. 34, No. 11, 4807--4826 (2014; Zbl 1308.34049) Full Text: DOI
Zhao, Liqin; Qi, Minghui; Liu, Changjian The cyclicity of period annuli of a class of quintic Hamiltonian systems. (English) Zbl 1288.34033 J. Math. Anal. Appl. 403, No. 2, 391-407 (2013). MSC: 34C07 34C23 34C05 PDFBibTeX XMLCite \textit{L. Zhao} et al., J. Math. Anal. Appl. 403, No. 2, 391--407 (2013; Zbl 1288.34033) Full Text: DOI
Liu, Changjian; Xiao, Dongmei The monotonicity of the ratio of two abelian integrals. (English) Zbl 1283.34026 Trans. Am. Math. Soc. 365, No. 10, 5525-5544 (2013). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C07 34C08 34E10 PDFBibTeX XMLCite \textit{C. Liu} and \textit{D. Xiao}, Trans. Am. Math. Soc. 365, No. 10, 5525--5544 (2013; Zbl 1283.34026) Full Text: DOI
Liu, Changjian Limit cycles bifurcated from some reversible quadratic centres with a non-algebraic first integral. (English) Zbl 1250.34026 Nonlinearity 25, No. 6, 1653-1660 (2012). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 37G15 34C08 34C23 34C05 PDFBibTeX XMLCite \textit{C. Liu}, Nonlinearity 25, No. 6, 1653--1660 (2012; Zbl 1250.34026) Full Text: DOI
Liu, Changjian The cyclicity of period annuli of a class of quadratic reversible systems with two centers. (English) Zbl 1244.34049 J. Differ. Equations 252, No. 10, 5260-5273 (2012). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C08 34C14 PDFBibTeX XMLCite \textit{C. Liu}, J. Differ. Equations 252, No. 10, 5260--5273 (2012; Zbl 1244.34049) Full Text: DOI
Gasull, Armengol; Liu, Changjian; Yang, Jiazhong On the number of critical periods for planar polynomial systems of arbitrary degree. (English) Zbl 1203.34049 J. Differ. Equations 249, No. 3, 684-692 (2010). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34C08 37C27 34C07 34C14 PDFBibTeX XMLCite \textit{A. Gasull} et al., J. Differ. Equations 249, No. 3, 684--692 (2010; Zbl 1203.34049) Full Text: DOI
Li, Chengzhi; Liu, Changjian; Yang, Jiazhong A cubic system with thirteen limit cycles. (English) Zbl 1176.34037 J. Differ. Equations 246, No. 9, 3609-3619 (2009). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C08 PDFBibTeX XMLCite \textit{C. Li} et al., J. Differ. Equations 246, No. 9, 3609--3619 (2009; Zbl 1176.34037) Full Text: DOI
Gasull, Armengol; Li, Chengzhi; Liu, Changjian On the number of limit cycles bifurcating from a non-global degenerated center. (English) Zbl 1116.34029 J. Math. Anal. Appl. 329, No. 1, 268-280 (2007). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 34C07 PDFBibTeX XMLCite \textit{A. Gasull} et al., J. Math. Anal. Appl. 329, No. 1, 268--280 (2007; Zbl 1116.34029) Full Text: DOI Link
Chen, Guoting; Li, C.; Llibre, J.; Liu, C. The cyclicity of period annuli of some classes of reversible quadratic systems. (English) Zbl 1119.34028 Discrete Contin. Dyn. Syst. 16, No. 1, 157-177 (2006). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C08 PDFBibTeX XMLCite \textit{G. Chen} et al., Discrete Contin. Dyn. Syst. 16, No. 1, 157--177 (2006; Zbl 1119.34028) Full Text: DOI
Liu, Changjian; Wu, Hao; Yang, Jiazhong The Kowalevskaya exponents and rational integrability of polynomial differential systems. (English) Zbl 1105.34001 Bull. Sci. Math. 130, No. 3, 234-245 (2006). Reviewer: Maite Grau (Lleida) MSC: 34A05 34C14 37C10 34C05 34C07 PDFBibTeX XMLCite \textit{C. Liu} et al., Bull. Sci. Math. 130, No. 3, 234--245 (2006; Zbl 1105.34001) Full Text: DOI
Liu, Changjian Estimate of the number of zeros of Abelian integrals for an elliptic Hamiltonian with figure-of-eight loop. (English) Zbl 1037.34026 Nonlinearity 16, No. 3, 1151-1163 (2003). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{C. Liu}, Nonlinearity 16, No. 3, 1151--1163 (2003; Zbl 1037.34026) Full Text: DOI