Li, Feng; Liu, Yuanyuan; Yu, Pei; Wang, Jinliang Complex integrability and linearizability of cubic \(Z_2\)-equivariant systems with two \(1:q\) resonant singular points. (English) Zbl 1493.34010 J. Differ. Equations 300, 786-813 (2021). Reviewer: Lingling Liu (Chengdu) MSC: 34A05 34C14 34C20 PDFBibTeX XMLCite \textit{F. Li} et al., J. Differ. Equations 300, 786--813 (2021; Zbl 1493.34010) Full Text: DOI
Yu, Pei; Han, Maoan; Zhang, Xiang Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system. (English) Zbl 1482.34099 J. Differ. Equations 275, 939-959 (2021). Reviewer: Alexander Rudenok (Minsk) MSC: 34C07 34A36 34C14 34C05 PDFBibTeX XMLCite \textit{P. Yu} et al., J. Differ. Equations 275, 939--959 (2021; Zbl 1482.34099) Full Text: DOI
Yu, Pei; Zeng, Yanni Visualization of four limit cycles in near-integrable quadratic polynomial systems. (English) Zbl 1506.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050236, 11 p. (2020). MSC: 34C05 34C07 37J40 34E10 34C23 PDFBibTeX XMLCite \textit{P. Yu} and \textit{Y. Zeng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 15, Article ID 2050236, 11 p. (2020; Zbl 1506.34049) Full Text: DOI arXiv
Li, Feng; Jin, Yinlai; Tian, Yun; Yu, Pei Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular points. (English) Zbl 1450.37052 J. Differ. Equations 269, No. 10, 9026-9049 (2020). Reviewer: Alexander Grin (Grodno) MSC: 37J35 37J38 34C05 34C07 PDFBibTeX XMLCite \textit{F. Li} et al., J. Differ. Equations 269, No. 10, 9026--9049 (2020; Zbl 1450.37052) Full Text: DOI
Li, Feng; Liu, Yirong; Liu, Yuanyuan; Yu, Pei Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems. (English) Zbl 1511.34041 J. Differ. Equations 268, No. 7, 3819-3847 (2020). MSC: 34C05 34C14 34C20 PDFBibTeX XMLCite \textit{F. Li} et al., J. Differ. Equations 268, No. 7, 3819--3847 (2020; Zbl 1511.34041) Full Text: DOI
Guo, Laigang; Yu, Pei; Chen, Yufu Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles. (English) Zbl 1433.34046 Appl. Math. Comput. 363, Article ID 124577, 12 p. (2019). MSC: 34C07 34C23 34C05 37G05 PDFBibTeX XMLCite \textit{L. Guo} et al., Appl. Math. Comput. 363, Article ID 124577, 12 p. (2019; Zbl 1433.34046) Full Text: DOI
Li, Feng; Liu, Yirong; Liu, Yuanyuan; Yu, Pei Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields. (English) Zbl 1444.34054 J. Differ. Equations 265, No. 10, 4965-4992 (2018). MSC: 34C05 34C25 34C23 34C14 34C07 PDFBibTeX XMLCite \textit{F. Li} et al., J. Differ. Equations 265, No. 10, 4965--4992 (2018; Zbl 1444.34054) Full Text: DOI
Yu, Pei; Han, Maoan; Li, Jibin An improvement on the number of limit cycles bifurcating from a nondegenerate center of homogeneous polynomial systems. (English) Zbl 1394.34075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 6, Article ID 1850078, 31 p. (2018). MSC: 34C23 34C07 34C05 PDFBibTeX XMLCite \textit{P. Yu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 6, Article ID 1850078, 31 p. (2018; Zbl 1394.34075) Full Text: DOI
Tian, Yun; Yu, Pei Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis. (English) Zbl 1386.34075 J. Differ. Equations 264, No. 9, 5950-5976 (2018). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C23 34C07 34C05 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{P. Yu}, J. Differ. Equations 264, No. 9, 5950--5976 (2018; Zbl 1386.34075) Full Text: DOI arXiv
Chen, Ting; Huang, Lihong; Yu, Pei; Huang, Wentao Bifurcation of limit cycles at infinity in piecewise polynomial systems. (English) Zbl 1387.34059 Nonlinear Anal., Real World Appl. 41, 82-106 (2018). Reviewer: Vladimir Jacimovic (Podgorica) MSC: 34C23 34C05 34A36 PDFBibTeX XMLCite \textit{T. Chen} et al., Nonlinear Anal., Real World Appl. 41, 82--106 (2018; Zbl 1387.34059) Full Text: DOI
Yang, Junmin; Yu, Pei Nine limit cycles around a singular point by perturbing a cubic Hamiltonian system with a nilpotent center. (English) Zbl 1411.34046 Appl. Math. Comput. 298, 141-152 (2017). MSC: 34C05 34C07 34C23 37G15 PDFBibTeX XMLCite \textit{J. Yang} and \textit{P. Yu}, Appl. Math. Comput. 298, 141--152 (2017; Zbl 1411.34046) Full Text: DOI
Yu, Pei; Li, Feng Bifurcation of limit cycles in a cubic-order planar system around a nilpotent critical point. (English) Zbl 1377.34052 J. Math. Anal. Appl. 453, No. 2, 645-667 (2017). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C23 34C05 34C20 34C07 PDFBibTeX XMLCite \textit{P. Yu} and \textit{F. Li}, J. Math. Anal. Appl. 453, No. 2, 645--667 (2017; Zbl 1377.34052) Full Text: DOI
Tian, Yun; Yu, Pei Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials. (English) Zbl 1330.34055 J. Differ. Equations 260, No. 2, 971-990 (2016). MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{P. Yu}, J. Differ. Equations 260, No. 2, 971--990 (2016; Zbl 1330.34055) Full Text: DOI arXiv
Li, Feng; Yu, Pei; Tian, Yun; Liu, Yirong Center and isochronous center conditions for switching systems associated with elementary singular points. (English) Zbl 1454.34052 Commun. Nonlinear Sci. Numer. Simul. 28, No. 1-3, 81-97 (2015); correction ibid. 90, Article ID 105405, 8 p. (2020). MSC: 34C05 34C14 34C07 34C23 34A36 PDFBibTeX XMLCite \textit{F. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 28, No. 1--3, 81--97 (2015; Zbl 1454.34052) Full Text: DOI
Yu, Pei; Han, Maoan Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation. (English) Zbl 1336.34051 Appl. Math. Lett. 44, 17-20 (2015). Reviewer: Valery Romanovski (Maribor) MSC: 34C07 34C23 34C45 34C20 34C05 PDFBibTeX XMLCite \textit{P. Yu} and \textit{M. Han}, Appl. Math. Lett. 44, 17--20 (2015; Zbl 1336.34051) Full Text: DOI
Yu, Pei; Tian, Yun Twelve limit cycles around a singular point in a planar cubic-degree polynomial system. (English) Zbl 1510.37083 Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2690-2705 (2014). MSC: 37G15 34C05 PDFBibTeX XMLCite \textit{P. Yu} and \textit{Y. Tian}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2690--2705 (2014; Zbl 1510.37083) Full Text: DOI
Yu, P.; Han, M. Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial perturbations. (English) Zbl 1264.70044 Chaos Solitons Fractals 45, No. 6, 772-794 (2012). MSC: 70H09 70K44 70K50 PDFBibTeX XMLCite \textit{P. Yu} and \textit{M. Han}, Chaos Solitons Fractals 45, No. 6, 772--794 (2012; Zbl 1264.70044) Full Text: DOI
Yu, P.; Corless, R. Symbolic computation of limit cycles associated with Hilbert’s 16th problem. (English) Zbl 1221.34082 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4041-4056 (2009). MSC: 34C07 34-04 68W30 PDFBibTeX XMLCite \textit{P. Yu} and \textit{R. Corless}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4041--4056 (2009; Zbl 1221.34082) Full Text: DOI
Yu, P.; Han, M.; Yuan, Y. Analysis on limit cycles of \(Z_{q}\)-equivariant polynomial vector fields with degree 3 or 4. (English) Zbl 1106.34017 J. Math. Anal. Appl. 322, No. 1, 51-65 (2006). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C07 37C80 PDFBibTeX XMLCite \textit{P. Yu} et al., J. Math. Anal. Appl. 322, No. 1, 51--65 (2006; Zbl 1106.34017) Full Text: DOI