Ma, Deyue; Yang, Junmin Bifurcation of limit cycles near a heteroclinic loop with nilpotent cusps. (English) Zbl 07733015 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107337, 13 p. (2023). MSC: 34-XX 93-XX 76-XX 65-XX 37-XX PDF BibTeX XML Cite \textit{D. Ma} and \textit{J. Yang}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107337, 13 p. (2023; Zbl 07733015) Full Text: DOI
Sugie, Jitsuro Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function. (English) Zbl 07679846 J. Differ. Equations 361, 219-247 (2023). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C11 34C37 34B30 PDF BibTeX XML Cite \textit{J. Sugie}, J. Differ. Equations 361, 219--247 (2023; Zbl 07679846) Full Text: DOI
Geng, Wei; Han, Maoan; Tian, Yun; Ke, Ai Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis. (English) Zbl 07672961 J. Differ. Equations 357, 412-435 (2023). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C23 37J40 34E10 34C07 34C05 34C37 PDF BibTeX XML Cite \textit{W. Geng} et al., J. Differ. Equations 357, 412--435 (2023; Zbl 07672961) Full Text: DOI
Han, Maoan; Yang, Junmin; Li, Jibin General study on limit cycle bifurcation near a double homoclinic loop. (English) Zbl 1516.34068 J. Differ. Equations 347, 1-23 (2023). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34C05 34C37 34C07 37J40 PDF BibTeX XML Cite \textit{M. Han} et al., J. Differ. Equations 347, 1--23 (2023; Zbl 1516.34068) Full Text: DOI
Yang, Junmin; Hu, Xing Limit cycle bifurcations near a heteroclinic loop with two nilpotent cusps of general order. (English) Zbl 1505.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C05 34C23 34C37 34E10 37J40 34C07 PDF BibTeX XML Cite \textit{J. Yang} and \textit{X. Hu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022; Zbl 1505.34049) Full Text: DOI
Hu, Xing; Yang, Junmin Limit cycle bifurcations for a kind of Liénard system with degree seven. (English) Zbl 1508.34043 J. Dyn. Control Syst. 28, No. 2, 267-290 (2022). Reviewer: Tao Li (Chengdu) MSC: 34C23 34C05 34C07 34E10 PDF BibTeX XML Cite \textit{X. Hu} and \textit{J. Yang}, J. Dyn. Control Syst. 28, No. 2, 267--290 (2022; Zbl 1508.34043) Full Text: DOI
Huzak, Renato Cyclicity of canard cycles with hyperbolic saddles located away from the critical curve. (English) Zbl 1493.34163 J. Differ. Equations 320, 479-509 (2022). MSC: 34E17 34C07 34C23 34C05 34E15 34C26 34E20 PDF BibTeX XML Cite \textit{R. Huzak}, J. Differ. Equations 320, 479--509 (2022; Zbl 1493.34163) Full Text: DOI
Mardešić, P.; Marín, D.; Villadelprat, J. Bifurcations of zeros in translated families of functions and applications. (English) Zbl 1495.34061 J. Dyn. Control Syst. 28, No. 1, 121-150 (2022). Reviewer: Maite Grau (Lleida) MSC: 34C23 34C05 34C25 34C37 34C07 PDF BibTeX XML Cite \textit{P. Mardešić} et al., J. Dyn. Control Syst. 28, No. 1, 121--150 (2022; Zbl 1495.34061) Full Text: DOI Link
Wang, Qinlong; Xiong, Yu’e; Huang, Wentao; Yu, Pei Isolated periodic wave solutions arising from Hopf and Poincaré bifurcations in a class of single species model. (English) Zbl 1494.34113 J. Differ. Equations 311, 59-80 (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C05 34C23 34C37 92D25 35C07 35K57 PDF BibTeX XML Cite \textit{Q. Wang} et al., J. Differ. Equations 311, 59--80 (2022; Zbl 1494.34113) 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 PDF BibTeX XML Cite \textit{Y. Shi} et al., J. Differ. Equations 304, 1--28 (2021; Zbl 1517.34052) Full Text: DOI
Wu, Hao; Xu, Xingdong; Zhang, Dongfeng On the ultradifferentiable normalization. (English) Zbl 1484.34100 Math. Z. 299, No. 1-2, 751-779 (2021). Reviewer: Hao Wu (Nanjing) MSC: 34C20 26E10 37J40 PDF BibTeX XML Cite \textit{H. Wu} et al., Math. Z. 299, No. 1--2, 751--779 (2021; Zbl 1484.34100) Full Text: DOI
Wei, Lijun; Zhang, Qingjing; Zhang, Xiang On limit cycles near two centres and a double homoclinic loop in Liénard differential system. (English) Zbl 1482.34098 J. Differ. Equations 300, 226-251 (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C29 37M20 37J40 34C23 34C05 PDF BibTeX XML Cite \textit{L. Wei} et al., J. Differ. Equations 300, 226--251 (2021; Zbl 1482.34098) Full Text: DOI
Yang, Junmin; Yu, Pei; Han, Maoan On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order \(\hat{m} \). (English) Zbl 1471.37055 J. Differ. Equations 291, 27-56 (2021). MSC: 37J20 37G15 37C29 PDF BibTeX XML Cite \textit{J. Yang} et al., J. Differ. Equations 291, 27--56 (2021; Zbl 1471.37055) Full Text: DOI
Duignan, Nathan Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions. (English) Zbl 1467.34042 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 26, 28 p. (2021). MSC: 34C20 34C45 PDF BibTeX XML Cite \textit{N. Duignan}, Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 26, 28 p. (2021; Zbl 1467.34042) Full Text: DOI arXiv
Mardešić, P.; Resman, M.; Rolin, J.-P.; Županović, V. Tubular neighborhoods of orbits of power-logarithmic germs. (English) Zbl 1473.37025 J. Dyn. Differ. Equations 33, No. 1, 395-443 (2021). MSC: 37C15 37C05 37C35 PDF BibTeX XML Cite \textit{P. Mardešić} et al., J. Dyn. Differ. Equations 33, No. 1, 395--443 (2021; Zbl 1473.37025) Full Text: DOI
Marín, D.; Villadelprat, J. Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting. (English) Zbl 1467.37030 J. Differ. Equations 275, 684-732 (2021). Reviewer: Alexander Grin (Grodno) MSC: 37C75 37C27 34C07 34C05 34C20 34C23 PDF BibTeX XML Cite \textit{D. Marín} and \textit{J. Villadelprat}, J. Differ. Equations 275, 684--732 (2021; Zbl 1467.37030) Full Text: DOI
Goncharuk, N. B.; Ilyashenko, Yu. S. Various equivalence relations in global bifurcation theory. (English. Russian original) Zbl 1456.37048 Proc. Steklov Inst. Math. 310, 78-97 (2020); translation from Tr. Mat. Inst. Steklova 310, 86-106 (2020). MSC: 37G05 37G40 37C10 PDF BibTeX XML Cite \textit{N. B. Goncharuk} and \textit{Yu. S. Ilyashenko}, Proc. Steklov Inst. Math. 310, 78--97 (2020; Zbl 1456.37048); translation from Tr. Mat. Inst. Steklova 310, 86--106 (2020) 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 PDF BibTeX XML Cite \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
Marín, D.; Villadelprat, J. Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: local setting. (English) Zbl 1447.34041 J. Differ. Equations 269, No. 10, 8425-8467 (2020). MSC: 34C20 34C23 34C07 34C37 34A25 34C05 PDF BibTeX XML Cite \textit{D. Marín} and \textit{J. Villadelprat}, J. Differ. Equations 269, No. 10, 8425--8467 (2020; Zbl 1447.34041) Full Text: DOI
Saavedra, Mariana Dulac time of a resonant saddle in the loud family. (English) Zbl 1455.34040 J. Differ. Equations 269, No. 10, 7705-7729 (2020). Reviewer: Iliya Iliev (Sofia) MSC: 34C23 34C07 34E05 34C05 PDF BibTeX XML Cite \textit{M. Saavedra}, J. Differ. Equations 269, No. 10, 7705--7729 (2020; Zbl 1455.34040) Full Text: DOI
Wu, Hao; Xu, Shoujun The geometrical demonstration of the order of resonant saddle points in \(\mathbb{C}^2\). (English) Zbl 1439.34080 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 27, 16 p. (2020). MSC: 34M65 34M35 PDF BibTeX XML Cite \textit{H. Wu} and \textit{S. Xu}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 27, 16 p. (2020; Zbl 1439.34080) 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 PDF BibTeX XML Cite \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
Deng, Shengfu Bifurcations of a bouncing ball dynamical system. (English) Zbl 1432.39010 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 14, Article ID 1950191, 19 p. (2019). MSC: 39A60 39A28 39A30 34A34 34C23 34C37 PDF BibTeX XML Cite \textit{S. Deng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 14, Article ID 1950191, 19 p. (2019; Zbl 1432.39010) Full Text: DOI
Andrade, K. da S.; Jeffrey, M. R.; Martins, R. M.; Teixeira, M. A. On the Dulac’s problem for piecewise analytic vector fields. (English) Zbl 1426.34042 J. Differ. Equations 266, No. 4, 2259-2273 (2019). Reviewer: Anthony D. Osborne (Keele) MSC: 34C07 35C05 PDF BibTeX XML Cite \textit{K. da S. Andrade} et al., J. Differ. Equations 266, No. 4, 2259--2273 (2019; Zbl 1426.34042) Full Text: DOI Link
Mardešić, P.; Resman, M.; Rolin, J.-P.; Županović, V. The Fatou coordinate for parabolic Dulac germs. (English) Zbl 1410.37021 J. Differ. Equations 266, No. 6, 3479-3513 (2019). MSC: 37C05 34C07 30B10 39A06 34E05 37C10 37C15 PDF BibTeX XML Cite \textit{P. Mardešić} et al., J. Differ. Equations 266, No. 6, 3479--3513 (2019; Zbl 1410.37021) Full Text: DOI arXiv
Han, Maoan; Llibre, Jaume; Yang, Junmin On uniqueness of limit cycles in general Bogdanov-Takens bifurcation. (English) Zbl 1401.34045 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 9, Article ID 1850115, 12 p. (2018). MSC: 34C23 34C05 34C37 PDF BibTeX XML Cite \textit{M. Han} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 9, Article ID 1850115, 12 p. (2018; Zbl 1401.34045) Full Text: DOI
Liu, Xingbo; Lin, Xiao-Biao; Bai, Yuzhen; Zhu, Deming Loop numbers for the stability of homoclinic loops of planar vector fields. (English) Zbl 1397.34073 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850101, 12 p. (2018). MSC: 34C37 34D20 34C23 PDF BibTeX XML Cite \textit{X. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850101, 12 p. (2018; Zbl 1397.34073) Full Text: DOI
Mousavi, Marzieh; Zangeneh, Hamid R. Z. Limit cycle bifurcations by perturbing a Hamiltonian system with a 3-polycycle having a cusp of order one or two. (English) Zbl 1388.34042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1850038, 20 p. (2018). MSC: 34C37 34C23 34C05 37J45 37J40 PDF BibTeX XML Cite \textit{M. Mousavi} and \textit{H. R. Z. Zangeneh}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1850038, 20 p. (2018; Zbl 1388.34042) Full Text: DOI
Wang, Lei; Yang, Xiao-Song Existence of homoclinic cycles and periodic orbits in a class of three-dimensional piecewise affine systems. (English) Zbl 1386.34022 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 2, Article ID 1850024, 15 p. (2018). MSC: 34A36 34C37 37C05 34C23 PDF BibTeX XML Cite \textit{L. Wang} and \textit{X.-S. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 2, Article ID 1850024, 15 p. (2018; Zbl 1386.34022) Full Text: DOI
Moghimi, Pegah; Asheghi, Rasoul; Kazemi, Rasool On the number of limit cycles bifurcated from some Hamiltonian systems with a double homoclinic loop and a heteroclinic loop. (English) Zbl 1366.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750055, 15 p. (2017). MSC: 34C07 34C23 34E05 34E10 34C37 34C05 PDF BibTeX XML Cite \textit{P. Moghimi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750055, 15 p. (2017; Zbl 1366.34047) Full Text: DOI
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 PDF BibTeX XML Cite \textit{Y. Tian} and \textit{M. Han}, J. Differ. Equations 262, No. 4, 3214--3234 (2017; Zbl 1361.34037) Full Text: DOI
Ilyashenko, Y. Towards the general theory of global planar bifurcations. (English) Zbl 1365.37046 Toni, Bourama (ed.), Mathematical sciences with multidisciplinary applications. In honor of Professor Christiane Rousseau, and in recognition of the Mathematics for Planet Earth initiative. Cham: Springer (ISBN 978-3-319-31321-4/hbk; 978-3-319-31323-8/ebook). Springer Proceedings in Mathematics & Statistics 157, 269-299 (2016). MSC: 37G10 37E35 PDF BibTeX XML Cite \textit{Y. Ilyashenko}, Springer Proc. Math. Stat. 157, 269--299 (2016; Zbl 1365.37046) Full Text: DOI
Wang, Jihua Bound the number of limit cycles bifurcating from center of polynomial Hamiltonian system via interval analysis. (English) Zbl 1355.34058 Chaos Solitons Fractals 87, 30-38 (2016). MSC: 34C07 34C08 37J20 PDF BibTeX XML Cite \textit{J. Wang}, Chaos Solitons Fractals 87, 30--38 (2016; Zbl 1355.34058) Full Text: DOI
Yang, Junmin; Zhou, Lina Limit cycle bifurcations in a kind of perturbed Liénard system. (English) Zbl 1349.37052 Nonlinear Dyn. 85, No. 3, 1695-1704 (2016). MSC: 37G15 37C29 34C07 34C37 PDF BibTeX XML Cite \textit{J. Yang} and \textit{L. Zhou}, Nonlinear Dyn. 85, No. 3, 1695--1704 (2016; Zbl 1349.37052) Full Text: DOI
Bakhshalizadeh, Ali; Zangeneh, Hamid R. Z.; Kazemi, Rasool Bifurcation of limit cycles in a near-Hamiltonian system with a cusp of order two and a saddle. (English) Zbl 1349.34102 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 11, Article ID 1650180, 14 p. (2016). MSC: 34C05 34C23 34E10 PDF BibTeX XML Cite \textit{A. Bakhshalizadeh} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 11, Article ID 1650180, 14 p. (2016; Zbl 1349.34102) Full Text: DOI
Xiong, Yanqin; Han, Maoan Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop. (English) Zbl 1353.34039 Chaos Solitons Fractals 78, 107-117 (2015). MSC: 34C05 34C29 34C25 PDF BibTeX XML Cite \textit{Y. Xiong} and \textit{M. Han}, Chaos Solitons Fractals 78, 107--117 (2015; Zbl 1353.34039) Full Text: DOI
Yang, Junmin; Sun, Xianbo Bifurcation of limit cycles for some Liénard systems with a nilpotent singular point. (English) Zbl 1317.34079 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550066, 14 p. (2015). MSC: 34C23 34C05 PDF BibTeX XML Cite \textit{J. Yang} and \textit{X. Sun}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 5, Article ID 1550066, 14 p. (2015; Zbl 1317.34079) Full Text: DOI
Liu, Yuanyuan; Romanovski, Valery G. Limit cycle bifurcations in a class of piecewise smooth systems with a double homoclinic loop. (English) Zbl 1338.34071 Appl. Math. Comput. 248, 235-245 (2014). MSC: 34C05 37G15 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{V. G. Romanovski}, Appl. Math. Comput. 248, 235--245 (2014; Zbl 1338.34071) Full Text: DOI
Bonckaert, Patrick Gevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic \({1:-1}\) resonant saddle. (English) Zbl 1297.34054 J. Math. Anal. Appl. 419, No. 2, 1143-1160 (2014). MSC: 34C20 34C05 37G05 PDF BibTeX XML Cite \textit{P. Bonckaert}, J. Math. Anal. Appl. 419, No. 2, 1143--1160 (2014; Zbl 1297.34054) Full Text: DOI
Gavrilov, Lubomir On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields. (English. Russian original) Zbl 1310.34043 Funct. Anal. Appl. 47, No. 3, 174-186 (2013); translation from Funkts. Anal. Prilozh. 47, No. 3, 12-27 (2013). MSC: 34C07 34C37 34C05 34C23 PDF BibTeX XML Cite \textit{L. Gavrilov}, Funct. Anal. Appl. 47, No. 3, 174--186 (2013; Zbl 1310.34043); translation from Funkts. Anal. Prilozh. 47, No. 3, 12--27 (2013) Full Text: DOI arXiv
Li, Peiluan; Wu, Yusen; Ding, Xiaoquan Bifurcation of limit cycles and center conditions for two families of Kukles-like systems with nilpotent singularities. (English) Zbl 1338.37063 J. Funct. Spaces Appl. 2013, Article ID 403836, 6 p. (2013). MSC: 37G15 37G10 34C23 34C05 PDF BibTeX XML Cite \textit{P. Li} et al., J. Funct. Spaces Appl. 2013, Article ID 403836, 6 p. (2013; Zbl 1338.37063) Full Text: DOI
Liu, Changjian; Xiao, Dongmei The monotonicity of the ratio of two abelian integrals. (English) Zbl 1283.34026 Trans. Am. Math. Soc. 365, No. 10, 5525-5544 (2013). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C07 34C08 34E10 PDF BibTeX XML Cite \textit{C. Liu} and \textit{D. Xiao}, Trans. Am. Math. Soc. 365, No. 10, 5525--5544 (2013; Zbl 1283.34026) Full Text: DOI
Zhang, Tonghua; Zang, Hong; Tade, Mose O. Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop. (English) Zbl 1270.34089 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350067, 12 p. (2013). MSC: 34C23 34C37 34C05 34E10 34D20 PDF BibTeX XML Cite \textit{T. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350067, 12 p. (2013; Zbl 1270.34089) 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 PDF BibTeX XML Cite \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
Han, Maoan Asymptotic expansions of Melnikov functions and limit cycle bifurcations. (English) Zbl 1258.34054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250296, 30 p. (2012). MSC: 34C05 34C37 34C23 PDF BibTeX XML Cite \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250296, 30 p. (2012; Zbl 1258.34054) Full Text: DOI
Han, Maoan; Yang, Junmin; Xiao, Dongmei Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. (English) Zbl 1258.34078 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 8, Paper No. 1250189, 33 p. (2012). MSC: 34C23 34C05 34C37 PDF BibTeX XML Cite \textit{M. Han} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 8, Paper No. 1250189, 33 p. (2012; Zbl 1258.34078) Full Text: DOI
Li, Chengzhi Abelian integrals and limit cycles. (English) Zbl 1270.34004 Qual. Theory Dyn. Syst. 11, No. 1, 111-128 (2012). Reviewer: Valery Romanovski (Maribor) MSC: 34-02 34C07 34C08 37G15 PDF BibTeX XML Cite \textit{C. Li}, Qual. Theory Dyn. Syst. 11, No. 1, 111--128 (2012; Zbl 1270.34004) Full Text: DOI
Liang, Haihua; Zhao, Yulin Limit cycles bifurcated from a class of quadratic reversible center of genus one. (English) Zbl 1250.34033 J. Math. Anal. Appl. 391, No. 1, 240-254 (2012). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C23 34C05 34C08 34C14 PDF BibTeX XML Cite \textit{H. Liang} and \textit{Y. Zhao}, J. Math. Anal. Appl. 391, No. 1, 240--254 (2012; Zbl 1250.34033) Full Text: DOI
Atabaigi, Ali; Zangeneh, Hamid R. Z.; Kazemi, Rasool Limit cycle bifurcation by perturbing a cuspidal loop of order 2 in a Hamiltonian system. (English) Zbl 1244.34048 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1945-1958 (2012). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C07 34C08 34C23 34C37 37G15 37J45 PDF BibTeX XML Cite \textit{A. Atabaigi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1945--1958 (2012; Zbl 1244.34048) Full Text: DOI
Gavrilov, Lubomir On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields. (English) Zbl 1234.34025 Bull. Braz. Math. Soc. (N.S.) 42, No. 1, 1-23 (2011). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C08 37G15 34C05 34C37 34C23 PDF BibTeX XML Cite \textit{L. Gavrilov}, Bull. Braz. Math. Soc. (N.S.) 42, No. 1, 1--23 (2011; Zbl 1234.34025) Full Text: DOI arXiv
Wang, Jihua; Xiao, Dongmei On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle. (English) Zbl 1217.34051 J. Differ. Equations 250, No. 4, 2227-2243 (2011). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C08 34C23 PDF BibTeX XML Cite \textit{J. Wang} and \textit{D. Xiao}, J. Differ. Equations 250, No. 4, 2227--2243 (2011; Zbl 1217.34051) Full Text: DOI
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana The geometry of quadratic polynomial differential systems with a weak focus and an invariant straight line. (English) Zbl 1208.34035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 11, 3627-3662 (2010). MSC: 34C05 34C23 34C45 PDF BibTeX XML Cite \textit{J. C. Artés} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 11, 3627--3662 (2010; Zbl 1208.34035) Full Text: DOI
Binyamini, Gal; Novikov, Dmitry; Yakovenko, Sergei On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem. (English) Zbl 1207.34039 Invent. Math. 181, No. 2, 227-289 (2010). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C08 34C07 34M10 34M60 14Q20 32S40 PDF BibTeX XML Cite \textit{G. Binyamini} et al., Invent. Math. 181, No. 2, 227--289 (2010; Zbl 1207.34039) Full Text: DOI arXiv
García, Isaac A.; Giacomini, Héctor; Grau, Maite The inverse integrating factor and the Poincaré map. (English) Zbl 1203.37086 Trans. Am. Math. Soc. 362, No. 7, 3591-3612 (2010). Reviewer: M. A. M. Alwash (Culver City) MSC: 37G15 37G20 34C05 PDF BibTeX XML Cite \textit{I. A. García} et al., Trans. Am. Math. Soc. 362, No. 7, 3591--3612 (2010; Zbl 1203.37086) Full Text: DOI arXiv
Gavrilov, Lubomir; Novikov, Dmitry On the finite cyclicity of open period annuli. (English) Zbl 1205.34030 Duke Math. J. 152, No. 1, 1-26 (2010). Reviewer: Maite Grau (Lleida) MSC: 34C07 34C23 34C10 PDF BibTeX XML Cite \textit{L. Gavrilov} and \textit{D. Novikov}, Duke Math. J. 152, No. 1, 1--26 (2010; Zbl 1205.34030) Full Text: DOI arXiv
Lu, Qiuying Codimension 2 bifurcation of twisted double homoclinic loops. (English) Zbl 1186.34054 Comput. Math. Appl. 57, No. 7, 1127-1141 (2009). MSC: 34C23 37G99 PDF BibTeX XML Cite \textit{Q. Lu}, Comput. Math. Appl. 57, No. 7, 1127--1141 (2009; Zbl 1186.34054) Full Text: DOI
Zhao, LiQin; Wang, Qi Perturbations from a kind of quartic Hamiltonians under general cubic polynomials. (English) Zbl 1192.34044 Sci. China, Ser. A 52, No. 3, 427-442 (2009). Reviewer: Josef Hainzl (Freiburg) MSC: 34C07 34C08 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{Q. Wang}, Sci. China, Ser. A 52, No. 3, 427--442 (2009; Zbl 1192.34044) Full Text: DOI
Zhao, Liqin; Wang, Xuexing The separatrix values of a planar homoclinic loop. (English) Zbl 1176.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 7, 2233-2247 (2009). MSC: 34C37 34C23 34C20 34D20 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{X. Wang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 7, 2233--2247 (2009; Zbl 1176.34053) Full Text: DOI
Jiang, Jiao; Zhang, Jizhou; Han, Maoan Limit cycles for a class of quintic near-Hamiltonian systems near a nilpotent center. (English) Zbl 1170.34314 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 6, 2107-2113 (2009). MSC: 34C05 34C37 34C23 PDF BibTeX XML Cite \textit{J. Jiang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 6, 2107--2113 (2009; Zbl 1170.34314) Full Text: DOI
Zhao, Liqin; Wang, Xuexing Saddle quantities and cyclicity of 2-polycycle. (English) Zbl 1168.34330 Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 4, 1255-1266 (2009). MSC: 34C37 34C05 34C23 37G20 37C29 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{X. Wang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 4, 1255--1266 (2009; Zbl 1168.34330) Full Text: DOI
Han, Maoan; Zang, Hong; Yang, Junmin Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system. (English) Zbl 1168.34029 J. Differ. Equations 246, No. 1, 129-163 (2009). Reviewer: Weinian Zhang (Sichuan) MSC: 34C23 34C37 34C05 37G20 PDF BibTeX XML Cite \textit{M. Han} et al., J. Differ. Equations 246, No. 1, 129--163 (2009; Zbl 1168.34029) Full Text: DOI
Zang, Hong; Zhang, Tonghua; Tian, Yu-Chu; Tadé, Moses O. Limit cycles for the kukles system. (English) Zbl 1203.34052 J. Dyn. Control Syst. 14, No. 2, 283-298 (2008). MSC: 34C05 37G15 37C10 PDF BibTeX XML Cite \textit{H. Zang} et al., J. Dyn. Control Syst. 14, No. 2, 283--298 (2008; Zbl 1203.34052) Full Text: DOI Link
Gavrilov, Lubomir Cyclicity of period annuli and principalization of Bautin ideals. (English) Zbl 1172.37020 Ergodic Theory Dyn. Syst. 28, No. 5, 1497-1507 (2008). Reviewer: Josef Hainzl (Freiburg) MSC: 37G15 34C07 34C23 37C27 PDF BibTeX XML Cite \textit{L. Gavrilov}, Ergodic Theory Dyn. Syst. 28, No. 5, 1497--1507 (2008; Zbl 1172.37020) Full Text: DOI arXiv
Asheghi, Rasoul; Zangeneh, Hamid R. Z. Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop. II. (English) Zbl 1161.34329 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 4143-4162 (2008). MSC: 34C23 34C07 34C08 37G15 34C37 34C05 PDF BibTeX XML Cite \textit{R. Asheghi} and \textit{H. R. Z. Zangeneh}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 4143--4162 (2008; Zbl 1161.34329) Full Text: DOI
Naudot, Vincent; Yang, Jiazhong Linearization of families of germs of hyperbolic vector fields. (English) Zbl 1159.34325 Dyn. Syst. 23, No. 4, 467-489 (2008). MSC: 34C20 34C41 37C15 PDF BibTeX XML Cite \textit{V. Naudot} and \textit{J. Yang}, Dyn. Syst. 23, No. 4, 467--489 (2008; Zbl 1159.34325) Full Text: DOI
Han, Maoan; Yang, Junmin; Tarţa, Alexandrina-Alina; Gao, Yang Limit cycles near homoclinic and heteroclinic loops. (English) Zbl 1165.34016 J. Dyn. Differ. Equations 20, No. 4, 923-944 (2008). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C37 34C23 37G20 PDF BibTeX XML Cite \textit{M. Han} et al., J. Dyn. Differ. Equations 20, No. 4, 923--944 (2008; Zbl 1165.34016) Full Text: DOI
Zang, Hong; Wang, Zheng; Zhang, Tonghua Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems. (English) Zbl 1158.34023 J. Math. Anal. Appl. 348, No. 1, 87-100 (2008). Reviewer: Svitlana P. Rogovchenko (Kalmar) MSC: 34C07 34C05 34C23 37Jxx PDF BibTeX XML Cite \textit{H. Zang} et al., J. Math. Anal. Appl. 348, No. 1, 87--100 (2008; Zbl 1158.34023) Full Text: DOI
Zang, Hong; Han, Maoan; Xiao, Dongmei On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems. (English) Zbl 1155.34026 J. Differ. Equations 245, No. 4, 1086-1111 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C05 34E05 34C23 PDF BibTeX XML Cite \textit{H. Zang} et al., J. Differ. Equations 245, No. 4, 1086--1111 (2008; Zbl 1155.34026) Full Text: DOI
Zhao, Liqin Cyclicity of several planar graphics and ensembles through three singular points without generic conditions. (English) Zbl 1156.34020 J. Differ. Equations 245, No. 4, 845-874 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C05 34C37 34C07 34C23 PDF BibTeX XML Cite \textit{L. Zhao}, J. Differ. Equations 245, No. 4, 845--874 (2008; Zbl 1156.34020) Full Text: DOI
Liu, Dan; Geng, Fengjie; Zhu, Deming Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3. (English) Zbl 1165.34026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2813-2827 (2008). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C37 37G25 34C23 PDF BibTeX XML Cite \textit{D. Liu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2813--2827 (2008; Zbl 1165.34026) Full Text: DOI
Villadelprat, J. The period function of the generalized Lotka-Volterra centers. (English) Zbl 1147.34034 J. Math. Anal. Appl. 341, No. 2, 834-854 (2008). Reviewer: Armengol Gasull (Barcelona) MSC: 34C25 34C23 37C27 34C05 PDF BibTeX XML Cite \textit{J. Villadelprat}, J. Math. Anal. Appl. 341, No. 2, 834--854 (2008; Zbl 1147.34034) Full Text: DOI
Wu, Yuhai; Han, Maoan; Chen, Xianfeng On the bifurcation of double homoclinic loops of a cubic system. (English) Zbl 1144.34029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2487-2494 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C23 34C05 PDF BibTeX XML Cite \textit{Y. Wu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2487--2494 (2008; Zbl 1144.34029) Full Text: DOI
Wang, Qinlong; Liu, Yirong; Du, Chaoxiong Small limit cycles bifurcating from fine focus points in quartic order \(Z_{3}\)-equivariant vector fields. (English) Zbl 1134.34020 J. Math. Anal. Appl. 337, No. 1, 524-536 (2008). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 PDF BibTeX XML Cite \textit{Q. Wang} et al., J. Math. Anal. Appl. 337, No. 1, 524--536 (2008; Zbl 1134.34020) Full Text: DOI
Han, Maoan; Shang, Desheng; Zheng, Wang; Yu, Pei Bifurcation of limit cycles in a fourth-order near-Hamiltonian system. (English) Zbl 1159.34029 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 11, 4117-4144 (2007). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C07 34C23 37G15 34C05 PDF BibTeX XML Cite \textit{M. Han} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 11, 4117--4144 (2007; Zbl 1159.34029) Full Text: DOI
Han, Maoan; Chen, Guanrong; Sun, Chengjun On the number of limit cycles in near-Hamiltonian polynomial systems. (English) Zbl 1157.34025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 6, 2033-2047 (2007). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 37G15 PDF BibTeX XML Cite \textit{M. Han} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 6, 2033--2047 (2007; Zbl 1157.34025) Full Text: DOI
Corbera, Montserrat; Llibre, Jaume Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimensions 1 and 2 in \(\mathbb R^3\). (English) Zbl 1185.37047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 9, 3295-3302 (2007). MSC: 37C27 37C29 PDF BibTeX XML Cite \textit{M. Corbera} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 9, 3295--3302 (2007; Zbl 1185.37047) Full Text: DOI
Zhao, Liqin Linear estimation and distribution of the limit cycles bifurcated from a kind of degenerate polycycles. (English) Zbl 1123.34025 Sci. China, Ser. A 50, No. 3, 334-344 (2007). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C05 34C23 34C37 34C07 37G25 37C29 PDF BibTeX XML Cite \textit{L. Zhao}, Sci. China, Ser. A 50, No. 3, 334--344 (2007; Zbl 1123.34025) Full Text: DOI
Han, Maoan; Zhu, Huaiping The loop quantities and bifurcations of homoclinic loops. (English) Zbl 1120.34032 J. Differ. Equations 234, No. 2, 339-359 (2007). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C23 34C07 PDF BibTeX XML Cite \textit{M. Han} and \textit{H. Zhu}, J. Differ. Equations 234, No. 2, 339--359 (2007; Zbl 1120.34032) Full Text: DOI Link
Zang, Hong; Han, Maoan; Zhang, Tonghua; Tadé, M. O. The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems. (English) Zbl 1136.34040 Comput. Math. Appl. 52, No. 10-11, 1577-1594 (2006). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C05 PDF BibTeX XML Cite \textit{H. Zang} et al., Comput. Math. Appl. 52, No. 10--11, 1577--1594 (2006; Zbl 1136.34040) Full Text: DOI
Marín, D.; Villadelprat, J. On the return time function around monodromic polycycles. (English) Zbl 1110.34021 J. Differ. Equations 228, No. 1, 226-258 (2006). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C05 34C37 PDF BibTeX XML Cite \textit{D. Marín} and \textit{J. Villadelprat}, J. Differ. Equations 228, No. 1, 226--258 (2006; Zbl 1110.34021) Full Text: DOI
Dumortier, Freddy; Roussarie, Robert Abelian integrals and limit cycles. (English) Zbl 1111.34028 J. Differ. Equations 227, No. 1, 116-165 (2006). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C23 PDF BibTeX XML Cite \textit{F. Dumortier} and \textit{R. Roussarie}, J. Differ. Equations 227, No. 1, 116--165 (2006; Zbl 1111.34028) Full Text: DOI
Zang, Hong; Zhang, Tonghua; Han, Maoan Bifurcations of limit cycles in a cubic system with cubic perturbations. (English) Zbl 1105.34014 Appl. Math. Comput. 176, No. 1, 341-358 (2006). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C23 34C37 PDF BibTeX XML Cite \textit{H. Zang} et al., Appl. Math. Comput. 176, No. 1, 341--358 (2006; Zbl 1105.34014) Full Text: DOI
Zhao, Yulin Perturbations of non-Hamiltonian reversible quadratic systems with cubic orbits. (English) Zbl 1100.34025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2332-2351 (2006). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C08 34C05 34C23 34C25 37G15 PDF BibTeX XML Cite \textit{Y. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2332--2351 (2006; Zbl 1100.34025) Full Text: DOI
Zang, Hong; Zhang, Tonghua; Han, Maoan The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems. (English) Zbl 1099.34032 J. Math. Anal. Appl. 316, No. 2, 679-696 (2006). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 37G15 34C37 PDF BibTeX XML Cite \textit{H. Zang} et al., J. Math. Anal. Appl. 316, No. 2, 679--696 (2006; Zbl 1099.34032) Full Text: DOI
Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua A unified proof of the weakened Hilbert 16th problem for \(n=2\). (English) Zbl 1098.34024 J. Differ. Equations 221, No. 2, 309-342 (2006). Reviewer: Alexander Grin (Grodno) MSC: 34C08 37G15 34C07 PDF BibTeX XML Cite \textit{F. Chen} et al., J. Differ. Equations 221, No. 2, 309--342 (2006; Zbl 1098.34024) Full Text: DOI
Luo, Hai-Ying; Li, Ji-Bin What are the separatrix values named by Leontovich on homoclinic bifurcation. (English) Zbl 1144.37440 Appl. Math. Mech., Engl. Ed. 26, No. 4, 457-464 (2005). MSC: 37G20 PDF BibTeX XML Cite \textit{H.-Y. Luo} and \textit{J.-B. Li}, Appl. Math. Mech., Engl. Ed. 26, No. 4, 457--464 (2005; Zbl 1144.37440) Full Text: DOI
Zhao, Liqin Cyclicity of degenerate polycycles through a saddle-node and two hyperbolic saddles. (English) Zbl 1094.34027 Acta Math. Sin., Engl. Ser. 21, No. 3, 507-516 (2005). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C37 34C20 PDF BibTeX XML Cite \textit{L. Zhao}, Acta Math. Sin., Engl. Ser. 21, No. 3, 507--516 (2005; Zbl 1094.34027) Full Text: DOI
Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert Alien limit cycles near a Hamiltonian 2-saddle cycle. (English. Abridged French version) Zbl 1083.34025 C. R., Math., Acad. Sci. Paris 340, No. 8, 587-592 (2005). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C08 34C23 34C07 PDF BibTeX XML Cite \textit{M. Caubergh} et al., C. R., Math., Acad. Sci. Paris 340, No. 8, 587--592 (2005; Zbl 1083.34025) Full Text: DOI
Han, Maoan; Yang, Cheng On the cyclicity of a 2-polycycle for quadratic systems. (English) Zbl 1081.34512 Chaos Solitons Fractals 23, No. 5, 1787-1794 (2005). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C07 34C37 34C23 PDF BibTeX XML Cite \textit{M. Han} and \textit{C. Yang}, Chaos Solitons Fractals 23, No. 5, 1787--1794 (2005; Zbl 1081.34512) Full Text: DOI
Li, Chengzhi; Llibre, Jaume A unified study on the cyclicity of period annulus of the reversible quadratic Hamiltonian systems. (English) Zbl 1077.34036 J. Dyn. Differ. Equations 16, No. 2, 271-295 (2004). Reviewer: Meng Fan (Changchun) MSC: 34C07 34C08 37G15 34C23 37J40 PDF BibTeX XML Cite \textit{C. Li} and \textit{J. Llibre}, J. Dyn. Differ. Equations 16, No. 2, 271--295 (2004; Zbl 1077.34036) Full Text: DOI
Wu, Yuhai; Han, Maoan; Chen, Xianfeng On the study of limit cycles of the generalized Rayleigh-Liénard oscillator. (English) Zbl 1070.34048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 8, 2905-2914 (2004). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C23 34C37 37G15 34C05 PDF BibTeX XML Cite \textit{Y. Wu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 8, 2905--2914 (2004; Zbl 1070.34048) Full Text: DOI
Han, Maoan; Wu, Yuhai; Bi, Ping Bifurcation of limit cycles near polycycles with \(n\) vertices. (English) Zbl 1060.37040 Chaos Solitons Fractals 22, No. 2, 383-394 (2004). MSC: 37G15 34C07 34C05 37G20 PDF BibTeX XML Cite \textit{M. Han} et al., Chaos Solitons Fractals 22, No. 2, 383--394 (2004; Zbl 1060.37040) Full Text: DOI
Zhang, Tonghua; Han, Maoan; Zang, Hong; Meng, Xinzhu Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations. (English) Zbl 1060.37041 Chaos Solitons Fractals 22, No. 5, 1127-1138 (2004). MSC: 37G15 34C07 37C05 37G20 PDF BibTeX XML Cite \textit{T. Zhang} et al., Chaos Solitons Fractals 22, No. 5, 1127--1138 (2004; Zbl 1060.37041) Full Text: DOI
Han, Maoan; Wu, Yuhai The stability of double homoclinic loops. (English) Zbl 1122.37312 Appl. Math. Lett. 17, No. 11, 1291-1298 (2004). MSC: 37G20 34C37 37C29 37C75 PDF BibTeX XML Cite \textit{M. Han} and \textit{Y. Wu}, Appl. Math. Lett. 17, No. 11, 1291--1298 (2004; Zbl 1122.37312) Full Text: DOI
Li, Chengzhi; Roussarie, Robert The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. (English) Zbl 1071.34032 J. Differ. Equations 205, No. 2, 488-520 (2004). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C23 34C37 37G15 PDF BibTeX XML Cite \textit{C. Li} and \textit{R. Roussarie}, J. Differ. Equations 205, No. 2, 488--520 (2004; Zbl 1071.34032) Full Text: DOI
Jin, Yinlai; Zhu, Deming Bifurcations of rough heteroclinic loop with two saddle points. (English) Zbl 1215.37039 Sci. China, Ser. A 46, No. 4, 459-468 (2003). MSC: 37G20 34C37 34C23 PDF BibTeX XML Cite \textit{Y. Jin} and \textit{D. Zhu}, Sci. China, Ser. A 46, No. 4, 459--468 (2003; Zbl 1215.37039) Full Text: DOI
Li, Jibin Hilbert’s 16th problem and bifurcations of planar polynomial vector fields. (English) Zbl 1063.34026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 1, 47-106 (2003). MSC: 34C07 34-02 14P25 34C05 34C08 34C23 37G15 PDF BibTeX XML Cite \textit{J. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 1, 47--106 (2003; Zbl 1063.34026) Full Text: DOI
Peng, Linping Unfolding of a quadratic integrable system with a homoclinic loop. (English) Zbl 1027.37037 Acta Math. Sin., Engl. Ser. 18, No. 4, 737-754 (2002). MSC: 37J35 37G15 34C08 34C07 37J40 PDF BibTeX XML Cite \textit{L. Peng}, Acta Math. Sin., Engl. Ser. 18, No. 4, 737--754 (2002; Zbl 1027.37037) Full Text: DOI
Yu, Jiang; Li, Chengzhi Bifurcation of a class of planar non-Hamiltonian integrable systems with one center and one homoclinic loop. (English) Zbl 1019.34042 J. Math. Anal. Appl. 269, No. 1, 227-243 (2002). Reviewer: Leonid P.Lebedev (Bogota) MSC: 34C23 34C07 PDF BibTeX XML Cite \textit{J. Yu} and \textit{C. Li}, J. Math. Anal. Appl. 269, No. 1, 227--243 (2002; Zbl 1019.34042) Full Text: DOI
Zhu, Huaiping; Rousseau, Christiane Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type. (English) Zbl 1012.34028 J. Differ. Equations 178, No. 2, 325-436 (2002). Reviewer: Eugene Ershov (St.Peterburg) MSC: 34C07 34C23 34C37 PDF BibTeX XML Cite \textit{H. Zhu} and \textit{C. Rousseau}, J. Differ. Equations 178, No. 2, 325--436 (2002; Zbl 1012.34028) Full Text: DOI Link