Chen, Ting; Li, Feng; Tian, Yun; Yu, Pei Bi-center conditions and bifurcation of limit cycles in a class of \(Z_2\)-equivariant cubic switching systems with two nilpotent points. arXiv:2403.05744 Preprint, arXiv:2403.05744 [math.DS] (2024). MSC: 34C07 34C23 BibTeX Cite \textit{T. Chen} et al., ``Bi-center conditions and bifurcation of limit cycles in a class of $Z_2$-equivariant cubic switching systems with two nilpotent points'', Preprint, arXiv:2403.05744 [math.DS] (2024) Full Text: arXiv OA License
Geng, Wei; Han, Maoan; Tian, Yun; Ke, Ai Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis. (English) Zbl 1520.34034 J. Differ. Equations 357, 412-435 (2023). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C23 37J40 34E10 34C07 34C05 34C37 PDFBibTeX XMLCite \textit{W. Geng} et al., J. Differ. Equations 357, 412--435 (2023; Zbl 1520.34034) Full Text: DOI
Tian, Yun; Ma, Didi Ten limit cycles near a cubic homoclinic loop with a nilpotent cusp. arXiv:2310.05234 Preprint, arXiv:2310.05234 [math.DS] (2023). BibTeX Cite \textit{Y. Tian} and \textit{D. Ma}, ``Ten limit cycles near a cubic homoclinic loop with a nilpotent cusp'', Preprint, arXiv:2310.05234 [math.DS] (2023) Full Text: arXiv OA License
Tian, Yun; Jing, Tingting; Zhang, Zhe Small limit cycles bifurcating in pendulum systems under trigonometric perturbations. arXiv:2310.05220 Preprint, arXiv:2310.05220 [math.DS] (2023). BibTeX Cite \textit{Y. Tian} et al., ``Small limit cycles bifurcating in pendulum systems under trigonometric perturbations'', Preprint, arXiv:2310.05220 [math.DS] (2023) Full Text: arXiv OA License
Li, Jie; Tian, Yun; Liu, Yaru Twenty-six crossing limit cycles around one singular point in a cubic switching system. (English) Zbl 1507.34015 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250158, 7 p. (2022). Reviewer: Jihua Yang (Guyuan) MSC: 34A36 34C05 34C23 34C07 PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250158, 7 p. (2022; Zbl 1507.34015) Full Text: DOI
Tian, Yun; Guo, Yanping; Ji, Yude Consensus in discrete-time one-sided Lipschitz nonlinear multi-agent systems with time-varying communication delay. (English) Zbl 1490.93115 Eur. J. Control 65, Article ID 100638, 8 p. (2022). MSC: 93D50 93A16 93C55 93C10 PDFBibTeX XMLCite \textit{Y. Tian} et al., Eur. J. Control 65, Article ID 100638, 8 p. (2022; Zbl 1490.93115) Full Text: DOI
Zhu, Chunyu; Tian, Yun Limit cycles from Hopf bifurcation in nongeneric quadratic reversible systems with piecewise perturbations. (English) Zbl 1498.34093 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150254, 18 p. (2021). Reviewer: Changjian Liu (Zhuhai) MSC: 34C07 34C05 34C23 34C14 34E10 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{Y. Tian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150254, 18 p. (2021; Zbl 1498.34093) Full Text: DOI
Chen, Jiayi; Tian, Yun Maximum number of small limit cycles in some rational Liénard systems with cubic restoring terms. (English) Zbl 1490.34035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150176, 9 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 34B30 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Y. Tian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150176, 9 p. (2021; Zbl 1490.34035) Full Text: DOI
Tian, Yun; Shang, Xinyu; Han, Maoan Bifurcation of limit cycles in a piecewise smooth near-integrable system. (English) Zbl 1483.34055 J. Math. Anal. Appl. 504, No. 2, Article ID 125578, 11 p. (2021). Reviewer: Majid Gazor (Isfahan) MSC: 34C23 34C05 34E10 34C07 PDFBibTeX XMLCite \textit{Y. Tian} et al., J. Math. Anal. Appl. 504, No. 2, Article ID 125578, 11 p. (2021; Zbl 1483.34055) Full Text: DOI
Geng, Wei; Tian, Yun Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems. (English) Zbl 1461.34062 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105666, 11 p. (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C23 34C05 34C37 34E10 PDFBibTeX XMLCite \textit{W. Geng} and \textit{Y. Tian}, Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105666, 11 p. (2021; Zbl 1461.34062) Full Text: DOI
Ji, Yude; Guo, Yanping; Liu, Yuejuan; Tian, Yun Leader-following consensus of fractional-order multi-agent systems via adaptive control. (English) Zbl 1469.93095 Int. J. Adapt. Control Signal Process. 34, No. 3, 283-297 (2020). MSC: 93D50 93A13 93A16 93C40 PDFBibTeX XMLCite \textit{Y. Ji} et al., Int. J. Adapt. Control Signal Process. 34, No. 3, 283--297 (2020; Zbl 1469.93095) Full Text: DOI
Sheng, Lijuan; Han, Maoan; Tian, Yun On the number of limit cycles bifurcating from a compound polycycle. (English) Zbl 1451.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050099, 16 p. (2020). Reviewer: Stefano Biagi (Milano) MSC: 34C07 34C05 34C37 34C23 34E10 PDFBibTeX XMLCite \textit{L. Sheng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050099, 16 p. (2020; Zbl 1451.34034) Full Text: DOI
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
Tian, Yun; Han, Maoan; Xu, Fangfang Bifurcations of small limit cycles in Liénard systems with cubic restoring terms. (English) Zbl 1459.34098 J. Differ. Equations 267, No. 3, 1561-1580 (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C23 34A36 34C07 34C05 PDFBibTeX XMLCite \textit{Y. Tian} et al., J. Differ. Equations 267, No. 3, 1561--1580 (2019; Zbl 1459.34098) Full Text: DOI
Llibre, Jaume; Tian, Yun Algebraic limit cycles bifurcating from algebraic ovals of quadratic centers. (English) Zbl 1405.34028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850145, 7 p. (2018). MSC: 34C07 34C05 34C23 34C25 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{Y. Tian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850145, 7 p. (2018; Zbl 1405.34028) Full Text: DOI
Tian, Yun; Al-Darabsah, Isam; Yuan, Yuan Global dynamics in sea lice model with stage structure. (English) Zbl 1401.92207 Nonlinear Anal., Real World Appl. 44, 283-304 (2018). MSC: 92D30 92D25 35Q92 PDFBibTeX XMLCite \textit{Y. Tian} et al., Nonlinear Anal., Real World Appl. 44, 283--304 (2018; Zbl 1401.92207) 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
Romanovski, Valery G.; Fernandes, Wilker; Tang, Yilei; Tian, Yun Linearizability and critical period bifurcations of a generalized Riccati system. (English) Zbl 1390.70056 Nonlinear Dyn. 90, No. 1, 257-269 (2017). MSC: 70K42 93B18 70K50 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., Nonlinear Dyn. 90, No. 1, 257--269 (2017; Zbl 1390.70056) Full Text: DOI arXiv
Tian, Yun; Han, Maoan Hopf and homoclinic bifurcations for near-Hamiltonian systems. (English) Zbl 1361.34037 J. Differ. Equations 262, No. 4, 3214-3234 (2017). Reviewer: Andrea Tellini (Madrid) MSC: 34C23 34C37 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{M. Han}, J. Differ. Equations 262, No. 4, 3214--3234 (2017; Zbl 1361.34037) Full Text: DOI
Tian, Yun; Yuan, Yuan Effect of time delays in an HIV virotherapy model with nonlinear incidence. (English) Zbl 1371.92082 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 472, No. 2186, Article ID 20150626, 20 p. (2016). MSC: 92C60 92C50 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Y. Yuan}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 472, No. 2186, Article ID 20150626, 20 p. (2016; Zbl 1371.92082) Full Text: DOI
Bo, Xuekang; Tian, Yun Limit cycles for a class of piecewise smooth quadratic differential systems with multiple parameters. (English) Zbl 1352.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650171, 11 p. (2016). MSC: 34C05 34C23 34A36 34E10 PDFBibTeX XMLCite \textit{X. Bo} and \textit{Y. Tian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650171, 11 p. (2016; Zbl 1352.34041) 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
Tian, Yun; Yu, Pei Center conditions in a switching Bautin system. (English) Zbl 1325.34041 J. Differ. Equations 259, No. 3, 1203-1226 (2015). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C07 34C23 34A36 34C25 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{P. Yu}, J. Differ. Equations 259, No. 3, 1203--1226 (2015; Zbl 1325.34041) 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
Tian, Yun; Yu, Pei An explicit recursive formula for computing the normal forms associated with semisimple cases. (English) Zbl 1457.37066 Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2294-2308 (2014). MSC: 37G05 37C15 37F75 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{P. Yu}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2294--2308 (2014; Zbl 1457.37066) Full Text: DOI
Tian, Yun; Bai, Yu; Yu, Pei Impact of delay on HIV-1 dynamics of fighting a virus with another virus. (English) Zbl 1326.92070 Math. Biosci. Eng. 11, No. 5, 1181-1198 (2014). MSC: 92D30 34D20 PDFBibTeX XMLCite \textit{Y. Tian} et al., Math. Biosci. Eng. 11, No. 5, 1181--1198 (2014; Zbl 1326.92070) Full Text: DOI arXiv
Tian, Yun; Yu, Pei Seven limit cycles around a focus point in a simple three-dimensional quadratic vector field. (English) Zbl 1296.34101 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 6, Article ID 1450083, 10 p. (2014). MSC: 34C23 34C05 34C45 34C20 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{P. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 6, Article ID 1450083, 10 p. (2014; Zbl 1296.34101) Full Text: DOI
Han, Maoan; Tian, Yun; Yu, Pei Small-amplitude limit cycles of polynomial Liénard systems. (English) Zbl 1355.34068 Sci. China, Math. 56, No. 8, 1543-1556 (2013). MSC: 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{M. Han} et al., Sci. China, Math. 56, No. 8, 1543--1556 (2013; Zbl 1355.34068) Full Text: DOI
Tian, Yun; Yu, Pei An explicit recursive formula for computing the normal form and center manifold of general \(n\)-dimensional differential systems associated with Hopf bifurcations. (English) Zbl 1272.34004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350104, 18 p. (2013). MSC: 34-04 34C20 34C23 34C45 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{P. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 6, Article ID 1350104, 18 p. (2013; Zbl 1272.34004) Full Text: DOI
Tian, Yun; Han, Maoan Hopf bifurcation for two types of Liénard systems. (English) Zbl 1228.34059 J. Differ. Equations 251, No. 4-5, 834-859 (2011). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{M. Han}, J. Differ. Equations 251, No. 4--5, 834--859 (2011; Zbl 1228.34059) Full Text: DOI
Tian, Yun; Xing, Yepeng On the number of limit cycles of a cubic system near a cuspidal loop. (English) Zbl 1240.34174 Ann. Differ. Equations 26, No. 2, 222-226 (2010). MSC: 34C07 34C23 34C37 34C05 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Y. Xing}, Ann. Differ. Equations 26, No. 2, 222--226 (2010; Zbl 1240.34174)