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
Llibre, Jaume; Zhang, Xiang Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. (English) Zbl 1411.34030 J. Math. Anal. Appl. 467, No. 1, 537-549 (2018). Reviewer: Alexander Grin (Grodno) MSC: 34A36 34C05 34C20 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{X. Zhang}, J. Math. Anal. Appl. 467, No. 1, 537--549 (2018; Zbl 1411.34030) Full Text: DOI Link
Han, Maoan; Sheng, Lijuan; Zhang, Xiang Bifurcation theory for finitely smooth planar autonomous differential systems. (English) Zbl 1410.34116 J. Differ. Equations 264, No. 5, 3596-3618 (2018). Reviewer: Alois Steindl (Wien) MSC: 34C23 34C07 34C05 34E10 PDFBibTeX XMLCite \textit{M. Han} et al., J. Differ. Equations 264, No. 5, 3596--3618 (2018; Zbl 1410.34116) Full Text: DOI
Zhang, Xiang Integrability of dynamical systems: algebra and analysis. (English) Zbl 1373.37053 Developments in Mathematics 47. Singapore: Springer (ISBN 978-981-10-4225-6/hbk; 978-981-10-4226-3/ebook). xv, 380 p. (2017). Reviewer: Arsen Melikyan (Brasília) MSC: 37Cxx 34C05 34C07 34C08 37J35 14H70 PDFBibTeX XMLCite \textit{X. Zhang}, Integrability of dynamical systems: algebra and analysis. Singapore: Springer (2017; Zbl 1373.37053) Full Text: DOI
Wei, Lijun; Zhang, Xiang Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems. (English) Zbl 1334.37051 Discrete Contin. Dyn. Syst. 36, No. 5, 2803-2825 (2016). MSC: 37G15 34C07 34C05 PDFBibTeX XMLCite \textit{L. Wei} and \textit{X. Zhang}, Discrete Contin. Dyn. Syst. 36, No. 5, 2803--2825 (2016; Zbl 1334.37051) Full Text: DOI
Pi, Dingheng; Zhang, Xiang The sliding bifurcations in planar piecewise smooth differential systems. (English) Zbl 1290.34047 J. Dyn. Differ. Equations 25, No. 4, 1001-1026 (2013). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C23 34C37 34A36 34C05 PDFBibTeX XMLCite \textit{D. Pi} and \textit{X. Zhang}, J. Dyn. Differ. Equations 25, No. 4, 1001--1026 (2013; Zbl 1290.34047) Full Text: DOI
Liang, Feng; Han, Maoan; Zhang, Xiang Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. (English) Zbl 1301.34055 J. Differ. Equations 255, No. 12, 4403-4436 (2013). Reviewer: Maite Grau (Lleida) MSC: 34C23 34C05 34C07 37G15 34C37 34A35 PDFBibTeX XMLCite \textit{F. Liang} et al., J. Differ. Equations 255, No. 12, 4403--4436 (2013; Zbl 1301.34055) Full Text: DOI
Pi, Dingheng; Yu, Jiang; Zhang, Xiang On the sliding bifurcation of a class of planar Filippov systems. (English) Zbl 1270.34088 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350040, 18 p. (2013). MSC: 34C23 34C37 34C05 37G15 34A60 PDFBibTeX XMLCite \textit{D. Pi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350040, 18 p. (2013; Zbl 1270.34088) Full Text: DOI
Wu, Kesheng; Zhang, Xiang Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. (English) Zbl 1338.37038 Physica D 244, No. 1, 25-35 (2013). MSC: 37D10 37D45 37C70 34C45 34C05 34C28 PDFBibTeX XMLCite \textit{K. Wu} and \textit{X. Zhang}, Physica D 244, No. 1, 25--35 (2013; Zbl 1338.37038) Full Text: DOI
Li, Weigu; Llibre, Jaume; Zhang, Xiang Local first integrals of differential systems and diffeomorphisms. (English) Zbl 1043.37010 Z. Angew. Math. Phys. 54, No. 2, 235-255 (2003). MSC: 37C05 34C05 34C20 37C10 37G05 PDFBibTeX XMLCite \textit{W. Li} et al., Z. Angew. Math. Phys. 54, No. 2, 235--255 (2003; Zbl 1043.37010) Full Text: DOI