Li, Jing; Sun, Xianbo; Huang, Wentao Limit cycles near a homoclinic loop connecting a tangent saddle in a perturbed quadratic Hamiltonian system. (English) Zbl 1516.37061 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107148, 17 p. (2023). MSC: 37J20 37J25 70K05 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107148, 17 p. (2023; Zbl 1516.37061) Full Text: DOI
Sun, Xianbo; Chen, Zhanbo; Yu, Pei Parameter identification on abelian integrals to achieve Chebyshev property. (English) Zbl 1484.34094 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661-5679 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 34C23 34C37 37J40 34E10 34C05 PDFBibTeX XMLCite \textit{X. Sun} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661--5679 (2021; Zbl 1484.34094) Full Text: DOI
Sun, Xianbo Exact bound on the number of limit cycles arising from a periodic annulus bounded by a symmetric heteroclinic loop. (English) Zbl 1457.34053 J. Appl. Anal. Comput. 10, No. 1, 378-390 (2020). MSC: 34C07 34D10 37G20 PDFBibTeX XMLCite \textit{X. Sun}, J. Appl. Anal. Comput. 10, No. 1, 378--390 (2020; Zbl 1457.34053) Full Text: DOI
Sun, Xianbo; Yu, Pei Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop. (English) Zbl 1452.34043 J. Differ. Equations 269, No. 11, 9224-9253 (2020). MSC: 34C07 34C05 34C23 34E10 37G20 37J40 34C37 PDFBibTeX XMLCite \textit{X. Sun} and \textit{P. Yu}, J. Differ. Equations 269, No. 11, 9224--9253 (2020; Zbl 1452.34043) Full Text: DOI
Sun, Xianbo; Yu, Pei Exact bound on the number of zeros of abelian integrals for two hyper-elliptic Hamiltonian systems of degree 4. (English) Zbl 1435.37077 J. Differ. Equations 267, No. 12, 7369-7384 (2019). Reviewer: Valery A. Gaiko (Minsk) MSC: 37J06 34C08 34C07 34D10 PDFBibTeX XMLCite \textit{X. Sun} and \textit{P. Yu}, J. Differ. Equations 267, No. 12, 7369--7384 (2019; Zbl 1435.37077) Full Text: DOI
Yang, Junmin; Yu, Pei; Sun, Xianbo On the independent perturbation parameters and the number of limit cycles of a type of Liénard system. (English) Zbl 1433.34050 J. Math. Anal. Appl. 464, No. 1, 679-692 (2018). MSC: 34C07 34A34 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Math. Anal. Appl. 464, No. 1, 679--692 (2018; Zbl 1433.34050) Full Text: DOI
Sun, Xianbo Perturbation of a period annulus bounded by a heteroclinic loop connecting two hyperbolic saddles. (English) Zbl 1385.37077 Qual. Theory Dyn. Syst. 16, No. 1, 187-203 (2017). Reviewer: Vladimir Răsvan (Craiova) MSC: 37J40 37J45 37J25 34C07 PDFBibTeX XMLCite \textit{X. Sun}, Qual. Theory Dyn. Syst. 16, No. 1, 187--203 (2017; Zbl 1385.37077) Full Text: DOI
Sun, Xianbo; Huang, Wentao Bounding the number of limit cycles for a polynomial Liénard system by using regular chains. (English) Zbl 1365.34063 J. Symb. Comput. 79, Part 2, 197-210 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{X. Sun} and \textit{W. Huang}, J. Symb. Comput. 79, Part 2, 197--210 (2017; Zbl 1365.34063) Full Text: DOI
Qu, Simin; Tang, Cangxin; Huang, Fengli; Sun, Xianbo Limit cycles bifurcated from some \(Z_4\)-equivariant quintic near-Hamiltonian systems. (English) Zbl 1474.34237 Abstr. Appl. Anal. 2014, Article ID 792439, 15 p. (2014). MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{S. Qu} et al., Abstr. Appl. Anal. 2014, Article ID 792439, 15 p. (2014; Zbl 1474.34237) Full Text: DOI