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
Chen, Xiaoyan; Han, Maoan Further study on Horozov-Iliev’s method of estimating the number of limit cycles. (English) Zbl 1510.34054 Sci. China, Math. 65, No. 11, 2255-2270 (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C07 34A36 37J40 34C05 34C23 34E10 PDFBibTeX XMLCite \textit{X. Chen} and \textit{M. Han}, Sci. China, Math. 65, No. 11, 2255--2270 (2022; Zbl 1510.34054) Full Text: DOI arXiv
Cai, Meilan; Han, Maoan The number of limit cycles for some polynomial systems with multiple parameters. (English) Zbl 1502.34037 J. Math. Anal. Appl. 514, No. 2, Article ID 126331, 19 p. (2022). Reviewer: Zhouchao Wei (Wuhan) MSC: 34C05 34C23 34E10 34B08 PDFBibTeX XMLCite \textit{M. Cai} and \textit{M. Han}, J. Math. Anal. Appl. 514, No. 2, Article ID 126331, 19 p. (2022; Zbl 1502.34037) Full Text: DOI
Ke, Ai; Han, Maoan; Geng, Wei The number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines. (English) Zbl 07524326 Commun. Pure Appl. Anal. 21, No. 5, 1793-1809 (2022). MSC: 34A36 34C05 34C07 34C23 34E10 PDFBibTeX XMLCite \textit{A. Ke} et al., Commun. Pure Appl. Anal. 21, No. 5, 1793--1809 (2022; Zbl 07524326) Full Text: DOI
Cai, Meilan; Han, Maoan The number of limit cycles for a class of cubic systems with multiple parameters. (English) Zbl 1504.34081 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250072, 18 p. (2022). Reviewer: Qinlong Wang (Guilin) MSC: 34C07 34C05 34C23 34E10 34E05 PDFBibTeX XMLCite \textit{M. Cai} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250072, 18 p. (2022; Zbl 1504.34081) Full Text: DOI
Liang, Feng; Han, Maoan; Jiang, Chaoyuan Limit cycle bifurcations of a planar near-integrable system with two small parameters. (English) Zbl 1513.34149 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 4, 1034-1056 (2021). MSC: 34C23 34C05 34E10 34C07 PDFBibTeX XMLCite \textit{F. Liang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 4, 1034--1056 (2021; Zbl 1513.34149) Full Text: DOI
Shi, Yixia; Han, Maoan; Zhang, Lijun Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. (English) Zbl 1517.34052 J. Differ. Equations 304, 1-28 (2021). MSC: 34C23 34C05 34C37 34C40 34E10 37J40 PDFBibTeX XMLCite \textit{Y. Shi} et al., J. Differ. Equations 304, 1--28 (2021; Zbl 1517.34052) Full Text: DOI
Xiong, Yanqin; Han, Maoan Limit cycles appearing from a generalized heteroclinic loop with a cusp and a nilpotent saddle. (English) Zbl 1489.34051 J. Differ. Equations 303, 575-607 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C23 34C37 34A36 34E10 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{M. Han}, J. Differ. Equations 303, 575--607 (2021; Zbl 1489.34051) Full Text: DOI
Ke, Ai; Han, Maoan Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. (English) Zbl 1489.34050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150159, 15 p. (2021). Reviewer: Xiang Zhang (Shanghai) MSC: 34C07 34C05 34C23 34A36 34E10 PDFBibTeX XMLCite \textit{A. Ke} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150159, 15 p. (2021; Zbl 1489.34050) 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
Liu, Shanshan; Han, Maoan; Li, Jibin Bifurcation methods of periodic orbits for piecewise smooth systems. (English) Zbl 1461.34028 J. Differ. Equations 275, 204-233 (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34A36 34C23 34C05 34C29 34E10 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Differ. Equations 275, 204--233 (2021; Zbl 1461.34028) Full Text: DOI
Liu, Shanshan; Han, Maoan Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory. (English) Zbl 1479.37050 Discrete Contin. Dyn. Syst., Ser. S 13, No. 11, 3115-3124 (2020). MSC: 37G15 34C29 34E10 PDFBibTeX XMLCite \textit{S. Liu} and \textit{M. Han}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 11, 3115--3124 (2020; Zbl 1479.37050) Full Text: DOI
Shi, Hongwei; Bai, Yuzhen; Han, Maoan On the maximum number of limit cycles for a piecewise smooth differential system. (English) Zbl 1459.34086 Bull. Sci. Math. 163, Article ID 102887, 16 p. (2020). Reviewer: Alexander Rudenok (Minsk) MSC: 34C07 34A36 34C05 34C29 34E10 PDFBibTeX XMLCite \textit{H. Shi} et al., Bull. Sci. Math. 163, Article ID 102887, 16 p. (2020; Zbl 1459.34086) 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
Chen, Xiaoyan; Han, Maoan A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. (English) Zbl 1455.34037 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 61, 19 p. (2020). Reviewer: Iliya Iliev (Sofia) MSC: 34C23 34C07 34A36 34E10 34C05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{M. Han}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 61, 19 p. (2020; Zbl 1455.34037) Full Text: DOI
Han, Maoan; Lu, Wen Hopf bifurcation of limit cycles by perturbing piecewise integrable systems. (English) Zbl 1448.34080 Bull. Sci. Math. 161, Article ID 102866, 35 p. (2020). Reviewer: Tao Li (Chengdu) MSC: 34C23 34A36 34C05 34C07 34E10 34A08 PDFBibTeX XMLCite \textit{M. Han} and \textit{W. Lu}, Bull. Sci. Math. 161, Article ID 102866, 35 p. (2020; Zbl 1448.34080) Full Text: DOI
Han, Maoan; Yang, Junmin The dynamics of a kind of Liénard system with sixth degree and its limit cycle bifurcations under perturbations. (English) Zbl 1447.34032 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 26, 20 p. (2020). Reviewer: Changjin Xu (Guiyang) MSC: 34C05 34C23 34E10 34A34 37J40 34C07 PDFBibTeX XMLCite \textit{M. Han} and \textit{J. Yang}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 26, 20 p. (2020; Zbl 1447.34032) Full Text: DOI
Yang, Junmin; Yu, Pei; Han, Maoan Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order \(m\). (English) Zbl 1406.34068 J. Differ. Equations 266, No. 1, 455-492 (2019). Reviewer: Stathis Antoniou (Athína) MSC: 34C23 34C05 34C37 34E10 37J40 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Differ. Equations 266, No. 1, 455--492 (2019; Zbl 1406.34068) Full Text: DOI
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
Xiong, Yanqin; Han, Maoan; Romanovski, Valery G. The maximal number of limit cycles in perturbations of piecewise linear Hamiltonian systems with two saddles. (English) Zbl 1377.34042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750126, 14 p. (2017). MSC: 34C07 34A36 37J40 34E10 34C23 34C05 PDFBibTeX XMLCite \textit{Y. Xiong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750126, 14 p. (2017; Zbl 1377.34042) Full Text: DOI
Han, Mao’an Bifurcation theory of limit cycles. (English) Zbl 1415.34001 Beijing: Science Press; Oxford: Alpha Science International (ISBN 978-1-78332-271-8/hbk). ix, 348 p. (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34-02 34C23 34C05 34C07 34C37 34E10 PDFBibTeX XMLCite \textit{M. Han}, Bifurcation theory of limit cycles. Beijing: Science Press; Oxford: Alpha Science International (2017; Zbl 1415.34001)
Wang, Yanqin; Han, Maoan; Constantinescu, Dana On the limit cycles of perturbed discontinuous planar systems with 4 switching lines. (English) Zbl 1355.34036 Chaos Solitons Fractals 83, 158-177 (2016). MSC: 34A36 34E10 37G15 34C05 34C23 PDFBibTeX XMLCite \textit{Y. Wang} et al., Chaos Solitons Fractals 83, 158--177 (2016; Zbl 1355.34036) Full Text: DOI
Sheng, Lijuan; Han, Maoan; Romanovsky, Valery On the number of limit cycles by perturbing a piecewise smooth Liénard model. (English) Zbl 1352.34045 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650168, 16 p. (2016). MSC: 34C07 34A36 34A34 34C05 34C23 34E10 PDFBibTeX XMLCite \textit{L. Sheng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650168, 16 p. (2016; Zbl 1352.34045) Full Text: DOI
Liang, Feng; Han, Maoan On the number of limit cycles in small perturbations of a piecewise linear Hamiltonian system with a heteroclinic loop. (English) Zbl 1342.34051 Chin. Ann. Math., Ser. B 37, No. 2, 267-280 (2016). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C05 37G15 34C15 34E10 34C23 34A36 PDFBibTeX XMLCite \textit{F. Liang} and \textit{M. Han}, Chin. Ann. Math., Ser. B 37, No. 2, 267--280 (2016; Zbl 1342.34051) Full Text: DOI
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. (English) Zbl 1339.34052 J. Differ. Equations 260, No. 5, 4473-4498 (2016). Reviewer: Iliya Iliev (Sofia) MSC: 34C23 34C05 34E10 34C37 PDFBibTeX XMLCite \textit{Y. Xiong} et al., J. Differ. Equations 260, No. 5, 4473--4498 (2016; Zbl 1339.34052) Full Text: DOI
Xiong, Yanqin; Han, Maoan; Wang, Yong Center problems and limit cycle bifurcations in a class of quasi-homogeneous systems. (English) Zbl 1326.34069 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550135, 11 p. (2015). MSC: 34C23 34C05 34C25 34E10 34C20 34C07 PDFBibTeX XMLCite \textit{Y. Xiong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550135, 11 p. (2015; Zbl 1326.34069) Full Text: DOI
Li, Na; Han, Maoan Critical period bifurcation by perturbing a reversible rigidly isochronous center with multiple parameters. (English) Zbl 1317.34037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550070, 11 p. (2015). MSC: 34C05 34C23 34C14 34C25 34E10 PDFBibTeX XMLCite \textit{N. Li} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550070, 11 p. (2015; Zbl 1317.34037) Full Text: DOI
Xiong, Yanqin; Han, Maoan Limit cycles near a homoclinic loop by perturbing a class of integrable systems. (English) Zbl 1343.34079 J. Math. Anal. Appl. 429, No. 2, 814-832 (2015). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C37 34E10 34C23 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{M. Han}, J. Math. Anal. Appl. 429, No. 2, 814--832 (2015; Zbl 1343.34079) Full Text: DOI
Chang, Guifeng; Zhang, Tonghua; Han, Maoan On the number of limit cycles of a class of polynomial systems of Liénard type. (English) Zbl 1317.34039 J. Math. Anal. Appl. 408, No. 2, 775-780 (2013). MSC: 34C07 34E10 34C05 PDFBibTeX XMLCite \textit{G. Chang} et al., J. Math. Anal. Appl. 408, No. 2, 775--780 (2013; Zbl 1317.34039) Full Text: DOI
Wu, Yuhai; Han, Maoan On the number and distributions of limit cycles of a planar quartic vector field. (English) Zbl 1270.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013). MSC: 34C07 34E10 34D20 34C37 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013; Zbl 1270.34053) Full Text: DOI
Wang, Jihua; Xiao, Dongmei; Han, Maoan The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. (English) Zbl 1270.34057 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350047, 18 p. (2013). MSC: 34C08 34C07 34C37 37J40 34E10 34E05 PDFBibTeX XMLCite \textit{J. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350047, 18 p. (2013; Zbl 1270.34057) Full Text: DOI
Ding, Wei; Han, Maoan Periodic boundary value problem for the second order impulsive functional differential equations. (English) Zbl 1102.34324 Indian J. Pure Appl. Math. 35, No. 8, 949-968 (2004). Reviewer: Marcia Federson (São Paulo) MSC: 34K10 45K05 45M05 35R10 34K45 34K14 PDFBibTeX XMLCite \textit{W. Ding} and \textit{M. Han}, Indian J. Pure Appl. Math. 35, No. 8, 949--968 (2004; Zbl 1102.34324)