Yang, Jihua The limit cycle bifurcations of a whirling pendulum with piecewise smooth perturbations. (English) Zbl 07815387 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 3, 1115-1144 (2024). MSC: 34C08 34C07 PDFBibTeX XMLCite \textit{J. Yang}, Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 3, 1115--1144 (2024; Zbl 07815387) Full Text: DOI
Li, Hong Bifurcation of limit cycles from a Liénard system with asymmetric figure eight-loop case. (English) Zbl 1512.34068 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 474-483 (2023). MSC: 34C05 34C07 34C08 PDFBibTeX XMLCite \textit{H. Li}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 474--483 (2023; Zbl 1512.34068) Full Text: DOI
Cheung, Tsz Yung Liouvillian solutions of Whittaker-Ince equation. (English) Zbl 1498.12004 J. Symb. Comput. 115, 18-38 (2023). Reviewer: Michael F. Singer (Raleigh) MSC: 12H05 34M03 14J28 PDFBibTeX XMLCite \textit{T. Y. Cheung}, J. Symb. Comput. 115, 18--38 (2023; Zbl 1498.12004) Full Text: DOI
Movasati, Hossein; Reiter, Stefan Convolution of Picard-Fuchs equations. (English) Zbl 1499.14036 Mich. Math. J. 71, No. 4, 705-724 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 34M40 14D05 14B10 PDFBibTeX XMLCite \textit{H. Movasati} and \textit{S. Reiter}, Mich. Math. J. 71, No. 4, 705--724 (2022; Zbl 1499.14036) Full Text: DOI arXiv
Chen, Yuanyuan; Yu, Jiang The study on cyclicity of a class of cubic systems. (English) Zbl 1517.34042 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6233-6256 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C08 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Yu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6233--6256 (2022; Zbl 1517.34042) Full Text: DOI
Zhou, Jinping; Zhao, Liqin; Wang, Jiaxin Cyclicity of a class of Hamiltonian systems under perturbations of piecewise smooth polynomials. (English) Zbl 1486.37032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150199, 14 p. (2021). Reviewer: Iliya Iliev (Sofia) MSC: 37J40 37J20 34C07 34C08 PDFBibTeX XMLCite \textit{J. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150199, 14 p. (2021; Zbl 1486.37032) Full Text: DOI
Yang, Jihua Limit cycles in two kinds of quadratic reversible systems with non-smooth perturbations. (English) Zbl 1478.34038 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 54, 31 p. (2021). Reviewer: Joan C. Artés (Barcelona) MSC: 34C05 34C14 34E10 34C23 34A36 34C07 PDFBibTeX XMLCite \textit{J. Yang}, Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 54, 31 p. (2021; Zbl 1478.34038) Full Text: DOI
Yang, Jihua Limit cycles of a kind of nonsmooth differential systems with two switching lines. (English) Zbl 1461.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150095, 15 p. (2021). MSC: 34C05 37G15 34C23 PDFBibTeX XMLCite \textit{J. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150095, 15 p. (2021; Zbl 1461.34053) Full Text: DOI
Chen, Aiyong; Zhang, Huiyang The number of zeros of abelian integral for a quintic Hamiltonian systems with a rose-figure loop. (English) Zbl 1499.34227 J. Dyn. Syst. Geom. Theor. 18, No. 1, 97-109 (2020). MSC: 34C08 37J46 34C07 PDFBibTeX XMLCite \textit{A. Chen} and \textit{H. Zhang}, J. Dyn. Syst. Geom. Theor. 18, No. 1, 97--109 (2020; Zbl 1499.34227) Full Text: DOI
Fang, Qigui The number of limit cycles of a kind of isochronous system. (Chinese. English summary) Zbl 1474.34234 J. Northwest Norm. Univ., Nat. Sci. 56, No. 5, 18-21 (2020). MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{Q. Fang}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 5, 18--21 (2020; Zbl 1474.34234) Full Text: DOI
Yang, Jihua Bifurcation of limit cycles of the nongeneric quadratic reversible system with discontinuous perturbations. (English) Zbl 1510.34079 Sci. China, Math. 63, No. 5, 873-886 (2020). MSC: 34C23 34C05 34C07 34A36 34E10 34C14 PDFBibTeX XMLCite \textit{J. Yang}, Sci. China, Math. 63, No. 5, 873--886 (2020; Zbl 1510.34079) Full Text: DOI arXiv
Yang, Jihua Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. (English) Zbl 1445.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2050042, 17 p. (2020). MSC: 34A36 34C05 34C07 34C23 34E10 PDFBibTeX XMLCite \textit{J. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2050042, 17 p. (2020; Zbl 1445.34041) Full Text: DOI
Yang, Jihua Limit cycle bifurcations from a quadratic center with two switching lines. (English) Zbl 1450.34025 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 21, 21 p. (2020). Reviewer: Changjin Xu (Guiyang) MSC: 34C05 34A36 34C23 34C25 34C07 PDFBibTeX XMLCite \textit{J. Yang}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 21, 21 p. (2020; Zbl 1450.34025) Full Text: DOI
Yang, Jihua; Zhang, Erli On the number of limit cycles for a class of piecewise smooth Hamiltonian systems with discontinuous perturbations. (English) Zbl 1472.34026 Nonlinear Anal., Real World Appl. 52, Article ID 103046, 10 p. (2020). Reviewer: Valery A. Gaiko (Minsk) MSC: 34A36 34E10 34C05 37J40 34C07 PDFBibTeX XMLCite \textit{J. Yang} and \textit{E. Zhang}, Nonlinear Anal., Real World Appl. 52, Article ID 103046, 10 p. (2020; Zbl 1472.34026) Full Text: DOI
Li, Huimin; Zhang, Erli The cyclicity of period annuli of a Hamilton system with nilpotent saddle points. (Chinese. English summary) Zbl 1449.34109 J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 598-604 (2019). MSC: 34C07 34C05 34E10 34C23 PDFBibTeX XMLCite \textit{H. Li} and \textit{E. Zhang}, J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 598--604 (2019; Zbl 1449.34109) Full Text: DOI
Yang, Jihua; Zhang, Erli Zeros of abelian integral for a kind of Hamiltonian systems. (Chinese. English summary) Zbl 1449.34111 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 5, 1025-1032 (2019). MSC: 34C08 34C07 PDFBibTeX XMLCite \textit{J. Yang} and \textit{E. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 5, 1025--1032 (2019; Zbl 1449.34111)
Yang, Jihua; Sui, Shiyou; Zhao, Liqin On the number of zeros of abelian integral for a class of cubic Hamilton systems with the phase portrait “butterfly”. (English) Zbl 1431.34043 Qual. Theory Dyn. Syst. 18, No. 3, 947-967 (2019). MSC: 34C08 34E10 37J40 34C07 34C23 PDFBibTeX XMLCite \textit{J. Yang} et al., Qual. Theory Dyn. Syst. 18, No. 3, 947--967 (2019; Zbl 1431.34043) Full Text: DOI
Sui, Shiyou; Yang, Jihua; Zhao, Liqin On the number of limit cycles for generic Lotka-Volterra system and Bogdanov-Takens system under perturbations of piecewise smooth polynomials. (English) Zbl 1444.34056 Nonlinear Anal., Real World Appl. 49, 137-158 (2019). Reviewer: Fengqin Zhang (Yuncheng) MSC: 34C05 34E10 34C07 34C23 34A36 34C08 PDFBibTeX XMLCite \textit{S. Sui} et al., Nonlinear Anal., Real World Appl. 49, 137--158 (2019; Zbl 1444.34056) Full Text: DOI arXiv
Yang, Jihua On the number of zeros of abelian integral for a class of cubic Hamiltonian systems. (English) Zbl 1440.34035 Dyn. Syst. 34, No. 4, 561-583 (2019). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 37J40 34C07 PDFBibTeX XMLCite \textit{J. Yang}, Dyn. Syst. 34, No. 4, 561--583 (2019; Zbl 1440.34035) Full Text: DOI
Yang, Jihua On the algebraic structure and the number of zeros of abelian integral for a class of Hamiltonians with degenerate singularities. (English) Zbl 1447.34034 Bull. Braz. Math. Soc. (N.S.) 49, No. 4, 893-913 (2018). Reviewer: Caidi Zhao (Wenzhou) MSC: 34C08 37J40 PDFBibTeX XMLCite \textit{J. Yang}, Bull. Braz. Math. Soc. (N.S.) 49, No. 4, 893--913 (2018; Zbl 1447.34034) Full Text: DOI
Yang, Jihua; Zhang, Erli; Li, Sanjie; Liu, Mei The number of zeros of abelian integrals for near-Hamilton system of degree three with a butterfly. (Chinese. English summary) Zbl 1413.34137 Acta Math. Sin., Chin. Ser. 61, No. 1, 19-26 (2018). MSC: 34C08 34E10 PDFBibTeX XMLCite \textit{J. Yang} et al., Acta Math. Sin., Chin. Ser. 61, No. 1, 19--26 (2018; Zbl 1413.34137)
Gavrilov, Lubomir Irreducibility of the Picard-Fuchs equation related to the Lotka-Volterra polynomial \(x^2y^2(1-x-y)\). (English) Zbl 1403.37056 J. Dyn. Control Syst. 24, No. 3, 425-438 (2018). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 37F75 34C05 37J05 37J35 PDFBibTeX XMLCite \textit{L. Gavrilov}, J. Dyn. Control Syst. 24, No. 3, 425--438 (2018; Zbl 1403.37056) Full Text: DOI arXiv
Yang, Jihua; Zhao, Liqin Bounding the number of limit cycles of discontinuous differential systems by using Picard-Fuchs equations. (English) Zbl 1390.34082 J. Differ. Equations 264, No. 9, 5734-5757 (2018). Reviewer: Maite Grau (Lleida) MSC: 34C05 34A36 34E10 34C23 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Zhao}, J. Differ. Equations 264, No. 9, 5734--5757 (2018; Zbl 1390.34082) Full Text: DOI
Yang, Jihua; Zhao, Liqin The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points. (English) Zbl 1411.34047 J. Differ. Equations 263, No. 9, 5554-5581 (2017). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C07 34C23 34C05 34E10 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Zhao}, J. Differ. Equations 263, No. 9, 5554--5581 (2017; Zbl 1411.34047) Full Text: DOI
Zhang, Erli; Xing, Yuqing Limit cycle bifurcations for a kind of Hamilton systems of degree three. (Chinese. English summary) Zbl 1399.37033 Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 5, 825-833 (2017). MSC: 37J20 37G15 34C07 PDFBibTeX XMLCite \textit{E. Zhang} and \textit{Y. Xing}, Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 5, 825--833 (2017; Zbl 1399.37033)
Ma, Huilong; Yang, Jihua On the number of zeros for Abel integrals of Hamilton system of seven degree with nilpotent singularities. (Chinese. English summary) Zbl 1399.34099 J. Math., Wuhan Univ. 37, No. 6, 1227-1233 (2017). MSC: 34C08 34C05 37J45 PDFBibTeX XMLCite \textit{H. Ma} and \textit{J. Yang}, J. Math., Wuhan Univ. 37, No. 6, 1227--1233 (2017; Zbl 1399.34099) Full Text: DOI
Yang, Jihua; Shang, Huahui On the number of zeros of abelian integrals for a kind of Hamiltonian systems of degree three. (Chinese. English summary) Zbl 1389.34104 J. Nat. Sci. Heilongjiang Univ. 34, No. 3, 291-296 (2017). MSC: 34C08 34C07 37J40 34E10 PDFBibTeX XMLCite \textit{J. Yang} and \textit{H. Shang}, J. Nat. Sci. Heilongjiang Univ. 34, No. 3, 291--296 (2017; Zbl 1389.34104) Full Text: DOI
Bai, Long; Yang, Jihua Linear estimate for the number of zeros of abelian integrals of Hamiltonian system with singular line. (Chinese. English summary) Zbl 1389.34103 J. Northwest Norm. Univ., Nat. Sci. 53, No. 2, 13-16, 20 (2017). MSC: 34C08 37J45 PDFBibTeX XMLCite \textit{L. Bai} and \textit{J. Yang}, J. Northwest Norm. Univ., Nat. Sci. 53, No. 2, 13--16, 20 (2017; Zbl 1389.34103) Full Text: DOI
Yang, Jihua; Zhang, Erli; Liu, Mei The cyclicity of period annuli of a class of quartic Hamiltonian systems. (Chinese. English summary) Zbl 1389.37038 Adv. Math., Beijing 46, No. 2, 243-251 (2017). MSC: 37J45 34C05 34C07 34D10 PDFBibTeX XMLCite \textit{J. Yang} et al., Adv. Math., Beijing 46, No. 2, 243--251 (2017; Zbl 1389.37038)
Yang, Jihua; Liu, Mei; He, Zhicheng The number of zeros of abelian integrals for a kind of quartic Hamiltonians with a nilpotent center. (Chinese. English summary) Zbl 1374.34095 Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 5, 937-945 (2016). MSC: 34C08 34C05 37J40 PDFBibTeX XMLCite \textit{J. Yang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 36, No. 5, 937--945 (2016; Zbl 1374.34095)
Chen, Aiyong; Guo, Lina; Deng, Xijun Existence of solitary waves and periodic waves for a perturbed generalized BBM equation. (English) Zbl 1358.34051 J. Differ. Equations 261, No. 10, 5324-5349 (2016). Reviewer: Vasile Dragan (Bucureşti) MSC: 34C60 34C25 34C27 35C07 35C08 34E20 PDFBibTeX XMLCite \textit{A. Chen} et al., J. Differ. Equations 261, No. 10, 5324--5349 (2016; Zbl 1358.34051) Full Text: DOI
Golyshev, V. V.; Zagier, D. Proof of the gamma conjecture for Fano 3-folds of Picard rank 1. (English. Russian original) Zbl 1369.14054 Izv. Math. 80, No. 1, 24-49 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 27-54 (2016). Reviewer: Noriko Yui (Kingston) MSC: 14J45 14J30 11G35 34A26 PDFBibTeX XMLCite \textit{V. V. Golyshev} and \textit{D. Zagier}, Izv. Math. 80, No. 1, 24--49 (2016; Zbl 1369.14054); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 27--54 (2016) Full Text: DOI
Lairez, Pierre Computing periods of rational integrals. (English) Zbl 1337.68301 Math. Comput. 85, No. 300, 1719-1752 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 68W30 14K20 14F40 33F10 34M03 PDFBibTeX XMLCite \textit{P. Lairez}, Math. Comput. 85, No. 300, 1719--1752 (2016; Zbl 1337.68301) Full Text: DOI arXiv
Hong, Xiaochun; Ma, Rui; Wang, Bin Estimation of the number of zeros of Abelian integrals of a class of quadratic reversible system. (Chinese. English summary) Zbl 1349.34106 Math. Pract. Theory 45, No. 5, 270-276 (2015). MSC: 34C08 34C14 PDFBibTeX XMLCite \textit{X. Hong} et al., Math. Pract. Theory 45, No. 5, 270--276 (2015; Zbl 1349.34106)
Nikdelan, Younes Darboux-Halphen-Ramanujan vector field on a moduli of Calabi-Yau manifolds. (English) Zbl 1349.53097 Qual. Theory Dyn. Syst. 14, No. 1, 71-100 (2015). MSC: 53C55 14J15 14J32 32G20 14C30 14D07 34M45 37F75 PDFBibTeX XMLCite \textit{Y. Nikdelan}, Qual. Theory Dyn. Syst. 14, No. 1, 71--100 (2015; Zbl 1349.53097) Full Text: DOI arXiv
Zhao, Li Qin; Li, De Ping Bifurcations of limit cycles from a quintic Hamiltonian system with a heteroclinic cycle. (English) Zbl 1301.34057 Acta Math. Sin., Engl. Ser. 30, No. 3, 411-422 (2014). Reviewer: Alexander Grin (Grodno) MSC: 34C23 34C05 34C37 37J45 PDFBibTeX XMLCite \textit{L. Q. Zhao} and \textit{D. P. Li}, Acta Math. Sin., Engl. Ser. 30, No. 3, 411--422 (2014; Zbl 1301.34057) Full Text: DOI
Fedorov, Yuri; Pantazi, Chara The Picard-Fuchs equations for complete hyperelliptic integrals of even order curves, and the actions of the generalized Neumann system. (English) Zbl 1298.14037 J. Math. Phys. 55, No. 3, 032703, 8 p. (2014). Reviewer: Bujar Fejzullahu (Presevo) MSC: 14H70 34M03 34M56 37J35 PDFBibTeX XMLCite \textit{Y. Fedorov} and \textit{C. Pantazi}, J. Math. Phys. 55, No. 3, 032703, 8 p. (2014; Zbl 1298.14037) Full Text: DOI arXiv
Gährs, Swantje Picard-Fuchs equations of special one-parameter families of invertible polynomials. (English) Zbl 1302.14034 Laza, Radu (ed.) et al., Arithmetic and geometry of \(K3\) surfaces and Calabi-Yau threefolds. Proceedings of the workshop, Toronto, Canada, August 16–25, 2011. New York, NY: Springer (ISBN 978-1-4614-6402-0/hbk; 978-1-4614-6403-7/ebook). Fields Institute Communications 67, 285-310 (2013). MSC: 14J33 32G20 32S40 34M35 14J32 PDFBibTeX XMLCite \textit{S. Gährs}, Fields Inst. Commun. 67, 285--310 (2013; Zbl 1302.14034) Full Text: DOI arXiv
Qi, Minghui; Zhao, Liqin Bifurcations of limit cycles from a quintic Hamiltonian system with a figure double-fish. (English) Zbl 1275.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 7, Article ID 1350116, 15 p. (2013). MSC: 34C08 34E10 34C05 34C23 PDFBibTeX XMLCite \textit{M. Qi} and \textit{L. Zhao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 7, Article ID 1350116, 15 p. (2013; Zbl 1275.34049) Full Text: DOI
Papadopoulos, George; Dullin, Holger R. Semi-global symplectic invariants of the Euler top. (English) Zbl 1334.37055 J. Geom. Mech. 5, No. 2, 215-232 (2013). MSC: 37J15 70E15 70E40 70H06 37J35 34M45 PDFBibTeX XMLCite \textit{G. Papadopoulos} and \textit{H. R. Dullin}, J. Geom. Mech. 5, No. 2, 215--232 (2013; Zbl 1334.37055) Full Text: DOI arXiv
Hong, Chun; Zou, Lan Abelian integrals and critical periods for a class of reversible quadratic systems. (Chinese. English summary) Zbl 1274.34095 J. Sichuan Univ., Nat. Sci. Ed. 49, No. 5, 960-964 (2012). MSC: 34C08 37J45 34C25 34C05 34C14 PDFBibTeX XMLCite \textit{C. Hong} and \textit{L. Zou}, J. Sichuan Univ., Nat. Sci. Ed. 49, No. 5, 960--964 (2012; Zbl 1274.34095) Full Text: DOI
Zhang, Yongkang; Li, Cuiping; Li, Baoyi The number of zeros of an abelian integral for a class of planar quadratic integrable systems with one centre. (Chinese. English summary) Zbl 1274.34096 J. Syst. Sci. Math. Sci. 32, No. 5, 626-640 (2012). MSC: 34C08 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Syst. Sci. Math. Sci. 32, No. 5, 626--640 (2012; Zbl 1274.34096)
Boukraa, S.; Hassani, S.; Maillard, J.-M. Holonomic functions of several complex variables and singularities of anisotropic Ising \(n\)-fold integrals. (English) Zbl 1257.82017 J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012). MSC: 82B20 34M55 47E05 32G34 14J32 35Q82 14K30 82B26 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012; Zbl 1257.82017) Full Text: DOI arXiv
Sijsling, Jeroen Arithmetic \((1;e)\)-curves and Belyĭ maps. (English) Zbl 1262.14035 Math. Comput. 81, No. 279, 1823-1855 (2012). Reviewer: Andrew Obus (New York) MSC: 14H57 14G35 14Q05 34B30 PDFBibTeX XMLCite \textit{J. Sijsling}, Math. Comput. 81, No. 279, 1823--1855 (2012; Zbl 1262.14035) Full Text: DOI
Song, Yan Abelian integrals for a kind of non-Hamiltonian integrable systems under cubic polynomial perturbations. (English) Zbl 1215.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 3, 789-798 (2011). MSC: 34C08 34E10 34A05 PDFBibTeX XMLCite \textit{Y. Song}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 3, 789--798 (2011; Zbl 1215.34038) Full Text: DOI
Bobieński, Marcin; Gavrilov, Lubomir On the reduction of the degree of linear differential operators. (English) Zbl 1232.34115 Nonlinearity 24, No. 2, 373-388 (2011). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34M03 34M35 34C08 47E05 34L40 PDFBibTeX XMLCite \textit{M. Bobieński} and \textit{L. Gavrilov}, Nonlinearity 24, No. 2, 373--388 (2011; Zbl 1232.34115) Full Text: DOI arXiv
Hong, Xiaochun Upper bound on the number of zeros of Abelian integrals for a class of quadratic reversible systems. (Chinese. English summary) Zbl 1240.34175 Acta Math. Appl. Sin. 33, No. 5, 769-779 (2010). MSC: 34C08 34C14 PDFBibTeX XMLCite \textit{X. Hong}, Acta Math. Appl. Sin. 33, No. 5, 769--779 (2010; Zbl 1240.34175)
Gao, Bo; He, Zhirong Limit cycles of a class of planar system with \(1:2\) resonance for linear cusp. (Chinese. English summary) Zbl 1212.34101 J. Sichuan Univ., Nat. Sci. Ed. 46, No. 5, 1224-1228 (2009). MSC: 34C05 34C07 37G10 37G15 34C23 34C37 34E10 PDFBibTeX XMLCite \textit{B. Gao} and \textit{Z. He}, J. Sichuan Univ., Nat. Sci. Ed. 46, No. 5, 1224--1228 (2009; Zbl 1212.34101)
Li, Ming The period function for quadratic integrable systems with quartic orbits. (Chinese. English summary) Zbl 1212.34121 J. Math. Study 42, No. 3, 329-334 (2009). MSC: 34C25 92D25 PDFBibTeX XMLCite \textit{M. Li}, J. Math. Study 42, No. 3, 329--334 (2009; Zbl 1212.34121)
Zhou, Xin; Li, Cuiping On the algebraic structure of abelian integrals for a kind of perturbed cubic Hamiltonian systems. (English) Zbl 1180.34033 J. Math. Anal. Appl. 359, No. 1, 209-215 (2009). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C08 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{C. Li}, J. Math. Anal. Appl. 359, No. 1, 209--215 (2009; Zbl 1180.34033) Full Text: DOI
He, Zhirong; Zhang, Weinian Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system. (English) Zbl 1180.34034 Discrete Contin. Dyn. Syst. 24, No. 3, 841-854 (2009). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 37J45 34C05 PDFBibTeX XMLCite \textit{Z. He} and \textit{W. Zhang}, Discrete Contin. Dyn. Syst. 24, No. 3, 841--854 (2009; Zbl 1180.34034) Full Text: DOI
Li, Ming The monotonicity of period function for a class of quadratic reversible systems. (Chinese. English summary) Zbl 1199.34198 Math. Pract. Theory 38, No. 15, 225-230 (2008). MSC: 34C25 PDFBibTeX XMLCite \textit{M. Li}, Math. Pract. Theory 38, No. 15, 225--230 (2008; Zbl 1199.34198)
Song, Yan The Poincaré bifurcation of cubic non-Hamiltonian integrable systems with double centers. (Chinese. English summary) Zbl 1174.34394 Chin. J. Eng. Math. 25, No. 4, 679-684 (2008). MSC: 34C23 34C08 34C05 37G10 PDFBibTeX XMLCite \textit{Y. Song}, Chin. J. Eng. Math. 25, No. 4, 679--684 (2008; Zbl 1174.34394)
Garoufalidis, Stavros An Ansatz for the asymptotics of hypergeometric multisums. (English) Zbl 1170.34059 Adv. Appl. Math. 41, No. 3, 423-451 (2008). Reviewer: Wadim Zudilin (Bonn) MSC: 34M35 05A16 33C60 33C70 33F10 34M30 PDFBibTeX XMLCite \textit{S. Garoufalidis}, Adv. Appl. Math. 41, No. 3, 423--451 (2008; Zbl 1170.34059) Full Text: DOI arXiv
Douai, Antoine Picard-Fuchs equations and Gauss-Manin systems with a view towards the Riemann-Hilbert problem. (English) Zbl 1096.32015 J. Dyn. Control Syst. 11, No. 4, 495-526 (2005). Reviewer: Valentina Golubeva (Moskva) MSC: 32S40 34C20 32G20 PDFBibTeX XMLCite \textit{A. Douai}, J. Dyn. Control Syst. 11, No. 4, 495--526 (2005; Zbl 1096.32015) Full Text: DOI
Song, Yan Estimation on the number of zeros of Abelian integrals of a planar Hamiltonian system. (Chinese. English summary) Zbl 1063.34027 J. Math. Res. Expo. 23, No. 4, 651-657 (2003). MSC: 34C08 37G15 PDFBibTeX XMLCite \textit{Y. Song}, J. Math. Res. Expo. 23, No. 4, 651--657 (2003; Zbl 1063.34027)
Golyshev, V. V. The geometricity problem and modularity of certain Riemann-Roch variations. (English. Russian original) Zbl 1170.14300 Dokl. Math. 66, No. 2, 231-236 (2002); translation from Dokl. Akad. Nauk 386, No. 5, 583-588 (2002). MSC: 14D05 34M35 PDFBibTeX XMLCite \textit{V. V. Golyshev}, Dokl. Math. 66, No. 2, 231--236 (2002; Zbl 1170.14300); translation from Dokl. Akad. Nauk 386, No. 5, 583--588 (2002)
Tanabé, Susumu Gauss-Manin connection associated to the versal deformation of the singularity \(A_\mu\) and zeros of the hyperelliptic integral. (Connexion de Gauss-Manin associée à la déformation verselle de la singularité \(A_\mu\) et zéros de l’intégrale hyperelliptique.) (French) Zbl 1064.32023 Bull. Sci. Math. 126, No. 1, 1-29 (2002). Reviewer: Zbigniew Hajto (Kraków) MSC: 32S40 34C08 32G34 34M35 PDFBibTeX XMLCite \textit{S. Tanabé}, Bull. Sci. Math. 126, No. 1, 1--29 (2002; Zbl 1064.32023) Full Text: DOI
Harnad, J. Picard-Fuchs equations, Hauptmoduls and integrable systems. (English) Zbl 0973.34075 Braden, H. W. (ed.) et al., Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 137-151 (2000). Reviewer: V.P.Kostov (Nice) MSC: 34M35 34M55 81T80 45E10 33E17 30F35 PDFBibTeX XMLCite \textit{J. Harnad}, in: Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 137--151 (2000; Zbl 0973.34075) Full Text: arXiv
Ohta, Yűji Picard-Fuchs ordinary differential systems in \(N=2\) supersymmetric Yang-Mills theories. (English) Zbl 0986.81101 J. Math. Phys. 40, No. 6, 3211-3226 (1999). MSC: 81T60 34C60 81V05 81T13 PDFBibTeX XMLCite \textit{Y. Ohta}, J. Math. Phys. 40, No. 6, 3211--3226 (1999; Zbl 0986.81101) Full Text: DOI arXiv
Zhao, Yulin; Zhang, Zhifen An estimate of the number of zeros of Abelian integrals for cubic vector fields with cuspidal loop. (English) Zbl 0967.34027 Ann. Differ. Equations 14, No. 2, 434-445 (1998). MSC: 34C08 14K20 34C05 34C23 37G15 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Z. Zhang}, Ann. Differ. Equations 14, No. 2, 434--445 (1998; Zbl 0967.34027)
Horozov, Emil; Iliev, Iliya D. Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians. (English) Zbl 0921.58044 Nonlinearity 11, No. 6, 1521-1537 (1998). Reviewer: E.Ershov (St.Peterburg) MSC: 37G15 37J20 37K50 34C05 PDFBibTeX XMLCite \textit{E. Horozov} and \textit{I. D. Iliev}, Nonlinearity 11, No. 6, 1521--1537 (1998; Zbl 0921.58044) Full Text: DOI
Zhang, Zhifen; Li, Chengzhi On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. (English) Zbl 0948.34020 Adv. Math., Beijing 26, No. 5, 445-460 (1997). Reviewer: Dmitry Turaev (Berlin) MSC: 34C07 37G15 34C23 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{C. Li}, Adv. Math., Beijing 26, No. 5, 445--460 (1997; Zbl 0948.34020)
van Gils, S. A. An inhomogeneous Picard-Fuchs equation. (English) Zbl 0810.58033 Chossat, Pascal (ed.), Dynamics, bifurcation and symmetry. New trends and new tools. Proceedings of the NATO Advanced Research Workshop, E. B. T. G. Conference, Cargèse, France, September 3-9, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 333-341 (1994). Reviewer: Z.Denkowska (Angers) MSC: 37G15 34C05 PDFBibTeX XMLCite \textit{S. A. van Gils}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 333--341 (1994; Zbl 0810.58033)
Lee, Min Ho On the monotonicity of the quotient of certain abelian integrals. (English) Zbl 0777.34026 Int. J. Math. Math. Sci. 16, No. 1, 41-48 (1993). Reviewer: J.Schmeelk (Richmond) MSC: 34C11 34A34 14H52 14J25 PDFBibTeX XMLCite \textit{M. H. Lee}, Int. J. Math. Math. Sci. 16, No. 1, 41--48 (1993; Zbl 0777.34026) Full Text: DOI EuDML
Chow, Shiu-Nee; Li, Chengzhi; Wang, Duo A simple proof of the uniqueness of periodic orbits in the 1:3 resonance problem. (English) Zbl 0691.58028 Proc. Am. Math. Soc. 105, No. 4, 1025-1032 (1989). Reviewer: K.Chang MSC: 37G99 34C05 PDFBibTeX XMLCite \textit{S.-N. Chow} et al., Proc. Am. Math. Soc. 105, No. 4, 1025--1032 (1989; Zbl 0691.58028) Full Text: DOI
Wang, Duo The critical points of the period function of \(x''-x^ 2(x-\alpha)(x- 1)=0(0\leq \alpha <1)\). (English) Zbl 0641.34029 Nonlinear Anal., Theory Methods Appl. 11, 1029-1050 (1987). Reviewer: Duo Wang MSC: 34C05 PDFBibTeX XMLCite \textit{D. Wang}, Nonlinear Anal., Theory Methods Appl. 11, 1029--1050 (1987; Zbl 0641.34029) Full Text: DOI
Sanders, Jan A.; Cushman, Richard Limit cycles in the Josephson equation. (English) Zbl 0604.58041 SIAM J. Math. Anal. 17, 495-511 (1986). Reviewer: J.Kalas MSC: 37G15 34C29 37G99 34C05 PDFBibTeX XMLCite \textit{J. A. Sanders} and \textit{R. Cushman}, SIAM J. Math. Anal. 17, 495--511 (1986; Zbl 0604.58041) Full Text: DOI
Chow, S.-N.; Sanders, J. A. On the number of critical points of the period. (English) Zbl 0594.34028 J. Differ. Equations 64, 51-66 (1986). MSC: 34C05 PDFBibTeX XMLCite \textit{S. N. Chow} and \textit{J. A. Sanders}, J. Differ. Equations 64, 51--66 (1986; Zbl 0594.34028) Full Text: DOI
Cushman, R.; Sanders, J. A. A codimension two bifurcation with a third order Picard-Fuchs equation. (English) Zbl 0571.34021 J. Differ. Equations 59, 243-256 (1985). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{R. Cushman} and \textit{J. A. Sanders}, J. Differ. Equations 59, 243--256 (1985; Zbl 0571.34021) Full Text: DOI
Sanders, J. A.; Cushman, R. Abelian integrals and global Hopf bifurcations. (English) Zbl 0559.34028 Dynamical systems and bifurcations, Proc. Workshop, Groningen/Neth. 1984, Lect. Notes Math. 1125, 87-98 (1985). MSC: 34C05 PDFBibTeX XML