Li, Feng; Chen, Ting; Liu, Yuanyuan; Yu, Pei A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point. (English) Zbl 1527.34055 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 8, 35 p. (2024). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C25 34C23 PDFBibTeX XMLCite \textit{F. Li} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 8, 35 p. (2024; Zbl 1527.34055) Full Text: DOI
Bastos, Jefferson L. R.; Buzzi, Claudio A.; Torregrosa, Joan Cyclicity near infinity in piecewise linear vector fields having a nonregular switching line. (English) Zbl 1525.34040 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 125, 11 p. (2023). Reviewer: Changjian Liu (Zhuhai) MSC: 34A36 34A30 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{J. L. R. Bastos} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 125, 11 p. (2023; Zbl 1525.34040) Full Text: DOI
Li, Feng; Wu, Yusen; Yu, Pei Complete classification on center of cubic planar systems symmetric with respect to a straight line. (English) Zbl 1519.34027 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107167, 17 p. (2023). Reviewer: Joan C. Artés (Barcelona) MSC: 34C05 34C14 PDFBibTeX XMLCite \textit{F. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107167, 17 p. (2023; Zbl 1519.34027) Full Text: DOI
Borukhov, V. T. Algebraic criterion for the existence of a center at a monodromic singular point of a polynomial Liénard system. (English. Russian original) Zbl 1512.34066 Differ. Equ. 58, No. 8, 1008-1020 (2022); translation from Differ. Uravn. 58, No. 8, 1020-1031 (2022). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{V. T. Borukhov}, Differ. Equ. 58, No. 8, 1008--1020 (2022; Zbl 1512.34066); translation from Differ. Uravn. 58, No. 8, 1020--1031 (2022) Full Text: DOI
da Cruz, Leonardo P. C.; Torregrosa, Joan Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line. (English) Zbl 1503.34088 J. Math. Anal. Appl. 514, No. 1, Article ID 126256, 17 p. (2022). Reviewer: Joan C. Artés (Barcelona) MSC: 34C23 34C05 34C07 34A36 34C45 PDFBibTeX XMLCite \textit{L. P. C. da Cruz} and \textit{J. Torregrosa}, J. Math. Anal. Appl. 514, No. 1, Article ID 126256, 17 p. (2022; Zbl 1503.34088) Full Text: DOI arXiv
Cozma, Dumitru; Matei, Angela Integrability of a cubic system with an invariant straight line and an invariant cubic. (English) Zbl 07774055 ROMAI J. 17, No. 1, 65-86 (2021). MSC: 34C05 PDFBibTeX XMLCite \textit{D. Cozma} and \textit{A. Matei}, ROMAI J. 17, No. 1, 65--86 (2021; Zbl 07774055)
Belokursky, M. S. Linear fractional reflecting function. (Russian. English summary) Zbl 1502.34049 Izv. Gomel. Gos. Univ. Im. F. Skoriny 2021, No. 6(129), 84-87 (2021). Reviewer: Eduard Musafirov (Grodno) MSC: 34C25 37C60 34C05 PDFBibTeX XMLCite \textit{M. S. Belokursky}, Izv. Gomel. Gos. Univ. Im. F. Skoriny 2021, No. 6(129), 84--87 (2021; Zbl 1502.34049)
Buzzi, Claudio A.; Rodero, Ana Livia; Torregrosa, Joan Centers and limit cycles of vector fields defined on invariant spheres. (English) Zbl 1490.34028 J. Nonlinear Sci. 31, No. 6, Paper No. 92, 28 p. (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C40 34A05 34C07 34C23 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., J. Nonlinear Sci. 31, No. 6, Paper No. 92, 28 p. (2021; Zbl 1490.34028) Full Text: DOI
Novaes, Douglas D.; Silva, Leandro A. Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields. (English) Zbl 1477.34055 J. Differ. Equations 300, 565-596 (2021). MSC: 34C05 34C23 34A36 68W30 PDFBibTeX XMLCite \textit{D. D. Novaes} and \textit{L. A. Silva}, J. Differ. Equations 300, 565--596 (2021; Zbl 1477.34055) Full Text: DOI arXiv
Wu, Yusen; Zhang, Ming; Mao, Jinxiu Bifurcation of limit cycles at a nilpotent critical point in a septic Lyapunov system. (English) Zbl 1473.34023 J. Appl. Anal. Comput. 10, No. 6, 2575-2591 (2020). MSC: 34C05 37G15 PDFBibTeX XMLCite \textit{Y. Wu} et al., J. Appl. Anal. Comput. 10, No. 6, 2575--2591 (2020; Zbl 1473.34023) Full Text: DOI
Lu, Feifei; Xie, Li’na; Zhou, Zhengxin On the Poincaré center-focus problem of a class of tenth degree polynomial differential systems. (Chinese. English summary) Zbl 1474.34225 J. Yangzhou Univ., Nat. Sci. Ed. 23, No. 5, 9-14 (2020). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{F. Lu} et al., J. Yangzhou Univ., Nat. Sci. Ed. 23, No. 5, 9--14 (2020; Zbl 1474.34225) Full Text: DOI
Sassi, Fatma; Gargouri, Ameni; Gavrilov, Lubomir; Ben Hamed, Bassem Centers of reversible cubic perturbations of the symmetric 8-loop Hamiltonian. (English) Zbl 1451.37081 Arch. Math. 115, No. 5, 567-574 (2020). MSC: 37J25 34C05 34C07 70H05 PDFBibTeX XMLCite \textit{F. Sassi} et al., Arch. Math. 115, No. 5, 567--574 (2020; Zbl 1451.37081) Full Text: DOI arXiv
Gavrilov, Lubomir On the center-focus problem for the equation \(\frac{\mathrm{d}y}{\mathrm{d}x} + \Sigma_{i=1}^n a_i(x) y^i = 0\), \(0\leq x \leq 1\) where \(a_i\) are polynomials. (Sur le problème du centre-foyer pour l’équation \(\frac{\mathrm{d}y}{\mathrm{d}x} + \Sigma_{i=1}^n a_i(x) y^i = 0\), \(0\leq x \leq 1\) où les \(a_i\) sont des polynômes.) (English. French summary) Zbl 1458.34066 Ann. Henri Lebesgue 3, 615-648 (2020). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 34C14 PDFBibTeX XMLCite \textit{L. Gavrilov}, Ann. Henri Lebesgue 3, 615--648 (2020; Zbl 1458.34066) Full Text: DOI
Zhou, Zhengxin; Yan, Yuexin On the composition center for a class of rigid system. (English) Zbl 1437.34037 Bull. Braz. Math. Soc. (N.S.) 51, No. 1, 139-155 (2020). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{Y. Yan}, Bull. Braz. Math. Soc. (N.S.) 51, No. 1, 139--155 (2020; Zbl 1437.34037) Full Text: DOI
Alwash, Mohamad A. M. Uniformly isochronous quartic systems. (English) Zbl 1470.34082 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 2, 13 p. (2020). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C05 34C25 34C20 PDFBibTeX XMLCite \textit{M. A. M. Alwash}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 2, 13 p. (2020; Zbl 1470.34082) Full Text: DOI
Zhou, Zhengxin On the center-focus problem for a family of high-order polynomial differential systems. (English) Zbl 1511.34043 J. Dyn. Differ. Equations 32, No. 1, 393-418 (2020). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Zhou}, J. Dyn. Differ. Equations 32, No. 1, 393--418 (2020; Zbl 1511.34043) Full Text: DOI
Li, Feng; Liu, Yirong; Liu, Yuanyuan; Yu, Pei Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems. (English) Zbl 1511.34041 J. Differ. Equations 268, No. 7, 3819-3847 (2020). MSC: 34C05 34C14 34C20 PDFBibTeX XMLCite \textit{F. Li} et al., J. Differ. Equations 268, No. 7, 3819--3847 (2020; Zbl 1511.34041) Full Text: DOI
Buzzi, Claudio A.; Medrado, Joao C.; Torregrosa, Joan Limit cycles in 4-star-symmetric planar piecewise linear systems. (English) Zbl 1457.34045 J. Differ. Equations 268, No. 5, 2414-2434 (2020). Reviewer: Yanqin Xiong (Nanjing) MSC: 34C05 34A36 34C23 34C07 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., J. Differ. Equations 268, No. 5, 2414--2434 (2020; Zbl 1457.34045) Full Text: DOI Link
da Cruz, Leonardo P. C.; Romanovski, Valery G.; Torregrosa, J. The center and cyclicity problems for quartic linear-like reversible systems. (English) Zbl 1446.34046 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111593, 19 p. (2020). Reviewer: Alexander Rudenok (Minsk) MSC: 34C05 34C07 34C23 34C25 34C14 PDFBibTeX XMLCite \textit{L. P. C. da Cruz} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111593, 19 p. (2020; Zbl 1446.34046) Full Text: DOI Link
Li, Feng; Li, Shimin Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point. (English) Zbl 1437.37068 Nonlinear Dyn. 96, No. 1, 553-563 (2019). MSC: 37J35 37J20 37J25 PDFBibTeX XMLCite \textit{F. Li} and \textit{S. Li}, Nonlinear Dyn. 96, No. 1, 553--563 (2019; Zbl 1437.37068) Full Text: DOI
Algaba, Antonio; García, Cristóbal; Giné, Jaume Nondegenerate and nilpotent centers for a cubic system of differential equations. (English) Zbl 1416.34020 Qual. Theory Dyn. Syst. 18, No. 1, 333-345 (2019). MSC: 34C05 34A05 34C25 PDFBibTeX XMLCite \textit{A. Algaba} et al., Qual. Theory Dyn. Syst. 18, No. 1, 333--345 (2019; Zbl 1416.34020) Full Text: DOI
Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín An inverse approach to the center problem. (English) Zbl 1423.34032 Rend. Circ. Mat. Palermo (2) 68, No. 1, 29-64 (2019). Reviewer: Jinzhi Lei (Beijing) MSC: 34C05 34C07 34A55 PDFBibTeX XMLCite \textit{J. Llibre} et al., Rend. Circ. Mat. Palermo (2) 68, No. 1, 29--64 (2019; Zbl 1423.34032) Full Text: DOI Link
Zhou, Zhengxin The Poincaré center-focus problem for a class of higher order polynomial differential systems. (English) Zbl 1458.34064 Math. Methods Appl. Sci. 42, No. 6, 1804-1818 (2019). Reviewer: Alexander Rudenok (Minsk) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Zhou}, Math. Methods Appl. Sci. 42, No. 6, 1804--1818 (2019; Zbl 1458.34064) Full Text: DOI arXiv
Giné, Jaume; Llibre, Jaume; Valls, Claudia Chiellini Hamiltonian Liénard differential systems. (English) Zbl 1423.34031 Electron. J. Differ. Equ. 2019, Paper No. 71, 8 p. (2019). Reviewer: Jinzhi Lei (Beijing) MSC: 34C05 34A34 34C14 34A05 37J35 PDFBibTeX XMLCite \textit{J. Giné} et al., Electron. J. Differ. Equ. 2019, Paper No. 71, 8 p. (2019; Zbl 1423.34031) Full Text: Link
Wu, Yusen; Li, Hongwei; Alsaedi, Ahmed Center conditions and bifurcation of limit cycles created from a class of second-order ODEs. (English) Zbl 1415.34060 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950003, 12 p. (2019). MSC: 34C05 34C25 34C23 PDFBibTeX XMLCite \textit{Y. Wu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950003, 12 p. (2019; Zbl 1415.34060) Full Text: DOI
Boros, Balázs; Hofbauer, Josef; Müller, Stefan; Regensburger, Georg The center problem for the Lotka reactions with generalized mass-action kinetics. (English) Zbl 1402.34033 Qual. Theory Dyn. Syst. 17, No. 2, 403-410 (2018). MSC: 34C05 34C25 92E20 PDFBibTeX XMLCite \textit{B. Boros} et al., Qual. Theory Dyn. Syst. 17, No. 2, 403--410 (2018; Zbl 1402.34033) Full Text: DOI arXiv
Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín; Sadovskaia, Natalia Centers and uniform isochronous centers of planar polynomial differential systems. (English) Zbl 1402.34034 J. Dyn. Differ. Equations 30, No. 3, 1295-1310 (2018). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{J. Llibre} et al., J. Dyn. Differ. Equations 30, No. 3, 1295--1310 (2018; Zbl 1402.34034) Full Text: DOI Link
Cozma, Dumitru; Dascalescu, Anatoli Integrability conditions for a class of cubic differential systems with a bundle of two invariant straight lines and one invariant cubic. (English) Zbl 1397.34059 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2018, No. 1(86), 120-138 (2018). MSC: 34C05 34A05 34C41 PDFBibTeX XMLCite \textit{D. Cozma} and \textit{A. Dascalescu}, Bul. Acad. Științe Repub. Mold., Mat. 2018, No. 1(86), 120--138 (2018; Zbl 1397.34059) Full Text: Link
Li, Feng; Liu, Yirong; Liu, Yuanyuan; Yu, Pei Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields. (English) Zbl 1444.34054 J. Differ. Equations 265, No. 10, 4965-4992 (2018). MSC: 34C05 34C25 34C23 34C14 34C07 PDFBibTeX XMLCite \textit{F. Li} et al., J. Differ. Equations 265, No. 10, 4965--4992 (2018; Zbl 1444.34054) Full Text: DOI
Fernandes, Wilker; Oliveira, Regilene; Romanovski, Valery G. Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system. (English) Zbl 1410.34092 J. Math. Anal. Appl. 467, No. 2, 874-892 (2018). Reviewer: Marco Spadini (Firenze) MSC: 34C05 34C25 34C07 34C14 PDFBibTeX XMLCite \textit{W. Fernandes} et al., J. Math. Anal. Appl. 467, No. 2, 874--892 (2018; Zbl 1410.34092) Full Text: DOI
Giné, Jaume; Valls, Claudia Integrability conditions for complex homogeneous kukles systems. (English) Zbl 1417.34069 J. Nonlinear Math. Phys. 25, No. 3, 387-398 (2018). MSC: 34C05 37C10 34C14 70H06 37G15 PDFBibTeX XMLCite \textit{J. Giné} and \textit{C. Valls}, J. Nonlinear Math. Phys. 25, No. 3, 387--398 (2018; Zbl 1417.34069) Full Text: DOI
Popa, M. N.; Prikop, V. V. The center-focus problem. Algebraic methods and hypotheses. (Проблема центра и фокуса. Алгебраичские решения и гипотезы.) (Russian) Zbl 1410.34002 Kishinev: Akademiya Nauk Moldovy, Institut Matematiki i Informatiki (ISBN 978-9975-62-416-9). 256 p. (2018). Reviewer: A. P. Sadovskii (Minsk) MSC: 34-02 34C05 34C14 PDFBibTeX XMLCite \textit{M. N. Popa} and \textit{V. V. Prikop}, Проблема центра и фокуса. Алгебраичские решения и гипотезы (Russian). Kishinev: Akademiya Nauk Moldovy, Institut Matematiki i Informatiki (2018; Zbl 1410.34002)
Giné, Jaume; Valls, Claudia The generalized polynomial Moon-Rand system. (English) Zbl 1398.34046 Nonlinear Anal., Real World Appl. 39, 411-417 (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C45 PDFBibTeX XMLCite \textit{J. Giné} and \textit{C. Valls}, Nonlinear Anal., Real World Appl. 39, 411--417 (2018; Zbl 1398.34046) Full Text: DOI
Cozma, Dumitru; Dascalescu, Anatoli Center conditions for a cubic system with a bundle of two invariant straight lines and one invariant cubic. (English) Zbl 1424.34106 ROMAI J. 13, No. 2, 39-54 (2017). MSC: 34C05 34C45 34C25 PDFBibTeX XMLCite \textit{D. Cozma} and \textit{A. Dascalescu}, ROMAI J. 13, No. 2, 39--54 (2017; Zbl 1424.34106)
Zhou, Zhengxin; Mao, Fangfang; Yan, Yuexin Research on the Poincaré center-focus problem of some cubic differential systems by using a new method. (English) Zbl 1422.34173 Adv. Difference Equ. 2017, Paper No. 52, 14 p. (2017). MSC: 34D20 34C07 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Adv. Difference Equ. 2017, Paper No. 52, 14 p. (2017; Zbl 1422.34173) Full Text: DOI
Mahdi, Adam; Pessoa, Claudio; Hauenstein, Jonathan D. A hybrid symbolic-numerical approach to the center-focus problem. (English) Zbl 1372.14053 J. Symb. Comput. 82, 57-73 (2017). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Qxx 65-XX 68W30 13Pxx PDFBibTeX XMLCite \textit{A. Mahdi} et al., J. Symb. Comput. 82, 57--73 (2017; Zbl 1372.14053) Full Text: DOI arXiv
Briskin, M.; Pakovich, F.; Yomdin, Y. Algebraic geometry of the center-focus problem for Abel differential equations. (English) Zbl 1362.37055 Ergodic Theory Dyn. Syst. 36, No. 3, 714-744 (2016). Reviewer: Marco Spadini (Firenze) MSC: 37C25 37C10 34C05 34A26 34C07 PDFBibTeX XMLCite \textit{M. Briskin} et al., Ergodic Theory Dyn. Syst. 36, No. 3, 714--744 (2016; Zbl 1362.37055) Full Text: DOI arXiv
Giné, Jaume; Valls, Claudia Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\). (English) Zbl 1333.34043 J. Symb. Comput. 73, 250-267 (2016). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C14 34C45 34-02 34A05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{C. Valls}, J. Symb. Comput. 73, 250--267 (2016; Zbl 1333.34043) Full Text: DOI
Cozma, Dumitru The problem of the center for cubic systems with two parallel invariant straight lines and one invariant cubic. (English) Zbl 1424.34105 ROMAI J. 11, No. 2, 63-75 (2015). MSC: 34C05 34C45 34C25 PDFBibTeX XMLCite \textit{D. Cozma}, ROMAI J. 11, No. 2, 63--75 (2015; Zbl 1424.34105)
Sadovskii, A. P.; Shcheglova, T. V. Center varieties of complex and real two-dimensional autonomous polynomial differential systems. (Russian. English summary) Zbl 1372.34031 Dokl. Nats. Akad. Nauk Belarusi 59, No. 4, 34-40 (2015). MSC: 34A34 PDFBibTeX XMLCite \textit{A. P. Sadovskii} and \textit{T. V. Shcheglova}, Dokl. Nats. Akad. Nauk Belarusi 59, No. 4, 34--40 (2015; Zbl 1372.34031) Full Text: Link
Qiu, Jianlong; Li, Feng Two kinds of bifurcation phenomena in a quartic system. (English) Zbl 1361.34028 Adv. Difference Equ. 2015, Paper No. 29, 10 p. (2015). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C07 34C23 PDFBibTeX XMLCite \textit{J. Qiu} and \textit{F. Li}, Adv. Difference Equ. 2015, Paper No. 29, 10 p. (2015; Zbl 1361.34028) Full Text: DOI
Valls, Claudia Center problem in the center manifold for quadratic and cubic differential systems in \(\mathbb{R}^3\). (English) Zbl 1328.34029 Appl. Math. Comput. 251, 180-191 (2015). MSC: 34C07 PDFBibTeX XMLCite \textit{C. Valls}, Appl. Math. Comput. 251, 180--191 (2015; Zbl 1328.34029) Full Text: DOI
Li, Hongwei; Jin, Yinlai Two different distributions of limit cycles in a quintic system. (English) Zbl 1333.34049 J. Nonlinear Sci. Appl. 8, No. 3, 255-266 (2015). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Jin}, J. Nonlinear Sci. Appl. 8, No. 3, 255--266 (2015; Zbl 1333.34049) Full Text: DOI Link
Nicklason, Gary R. An Abel type cubic system. (English) Zbl 1330.34052 Electron. J. Differ. Equ. 2015, Paper No. 189, 17 p. (2015). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34A05 34C25 34A34 PDFBibTeX XMLCite \textit{G. R. Nicklason}, Electron. J. Differ. Equ. 2015, Paper No. 189, 17 p. (2015; Zbl 1330.34052) Full Text: EMIS
Liu, Lingling; Aybar, O. Ozgur; Romanovski, Valery G.; Zhang, Weinian Identifying weak foci and centers in the Maxwell-Bloch system. (English) Zbl 1322.34050 J. Math. Anal. Appl. 430, No. 1, 549-571 (2015). MSC: 34C05 34C23 34C07 34C45 78A60 34C60 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Math. Anal. Appl. 430, No. 1, 549--571 (2015; Zbl 1322.34050) Full Text: DOI
Sadovskii, Anton P.; Shcheglova, Tatsiana V. Cozma’s centers with invariant straight lines and conics. (English) Zbl 1333.34046 Choban, Mitrofan (ed.) et al., The third conference of the Mathematical Society of the Republic of Moldova dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, ASM, Chişinău, Republic of Moldova, August 19–23, 2014. Abstracts. Chişinău: Academy of Sciences of Moldova, Institute of Mathematics and Computer Science (ISBN 978-9975-68-244-2/pbk). Proceedings IMCS-50, 281-284 (2014). MSC: 34C05 34C45 PDFBibTeX XMLCite \textit{A. P. Sadovskii} and \textit{T. V. Shcheglova}, in: The third conference of the Mathematical Society of the Republic of Moldova dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, ASM, Chişinău, Republic of Moldova, August 19--23, 2014. Abstracts. Chişinău: Academy of Sciences of Moldova, Institute of Mathematics and Computer Science. 281--284 (2014; Zbl 1333.34046)
Sadovskii, Anton P. About one irreducible component of the center variety of cubic system with two invariant straight lines and one invariant conic. (English) Zbl 1333.34045 Choban, Mitrofan (ed.) et al., The third conference of the Mathematical Society of the Republic of Moldova dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, ASM, Chişinău, Republic of Moldova, August 19–23, 2014. Abstracts. Chişinău: Academy of Sciences of Moldova, Institute of Mathematics and Computer Science (ISBN 978-9975-68-244-2/pbk). Proceedings IMCS-50, 277-280 (2014). MSC: 34C05 34C45 PDFBibTeX XMLCite \textit{A. P. Sadovskii}, in: The third conference of the Mathematical Society of the Republic of Moldova dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, ASM, Chişinău, Republic of Moldova, August 19--23, 2014. Abstracts. Chişinău: Academy of Sciences of Moldova, Institute of Mathematics and Computer Science. 277--280 (2014; Zbl 1333.34045)
Li, Feng; Qiu, Jianlong; Li, Jing Bifurcation of limit cycles, classification of centers and isochronicity for a class of non-analytic quintic systems. (English) Zbl 1319.37035 Nonlinear Dyn. 76, No. 1, 183-197 (2014); erratum ibid. 76, no. 1, 199 (2014). MSC: 37G15 PDFBibTeX XMLCite \textit{F. Li} et al., Nonlinear Dyn. 76, No. 1, 183--197 (2014; Zbl 1319.37035) Full Text: DOI
Nicklason, G. R. Center conditions and integrable forms for the Poincaré problem. (English) Zbl 1323.34043 J. Math. Anal. Appl. 411, No. 1, 442-452 (2014). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C25 34A05 PDFBibTeX XMLCite \textit{G. R. Nicklason}, J. Math. Anal. Appl. 411, No. 1, 442--452 (2014; Zbl 1323.34043) Full Text: DOI
Briskin, M.; Pakovich, F.; Yomdin, Y. Parametric center-focus problem for Abel equation. (English) Zbl 1318.34046 Qual. Theory Dyn. Syst. 13, No. 2, 289-303 (2014). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34C25 34C08 PDFBibTeX XMLCite \textit{M. Briskin} et al., Qual. Theory Dyn. Syst. 13, No. 2, 289--303 (2014; Zbl 1318.34046) Full Text: DOI arXiv
Liu, Lingling; Gao, Bo; Xiao, Dongmei; Zhang, Weinian Identification of focus and center in a 3-dimensional system. (English) Zbl 1287.34023 Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 485-522 (2014). MSC: 34C05 34C07 34C45 34A34 PDFBibTeX XMLCite \textit{L. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 485--522 (2014; Zbl 1287.34023) Full Text: DOI
Ferčec, Brigita; Mahdi, Adam Center conditions and cyclicity for a family of cubic systems: computer algebra approach. (English) Zbl 1490.34037 Math. Comput. Simul. 87, 55-67 (2013). MSC: 34C07 34-04 37G15 PDFBibTeX XMLCite \textit{B. Ferčec} and \textit{A. Mahdi}, Math. Comput. Simul. 87, 55--67 (2013; Zbl 1490.34037) Full Text: DOI Link
Li, Feng; Li, Jing; Wu, Yusen Computing center conditions for non-analytic vector fields with constant angular speed. (English) Zbl 1329.34096 Appl. Math. Comput. 220, 200-207 (2013). MSC: 34C99 34C07 37C10 PDFBibTeX XMLCite \textit{F. Li} et al., Appl. Math. Comput. 220, 200--207 (2013; Zbl 1329.34096) Full Text: DOI Link
Pricop, Victor About the maximal number of algebraically independent Lyapunov quantities for the differential system \(s(1,4)\). (English) Zbl 1313.34103 ROMAI J. 9, No. 2, 181-195 (2013). MSC: 34C05 34C14 PDFBibTeX XMLCite \textit{V. Pricop}, ROMAI J. 9, No. 2, 181--195 (2013; Zbl 1313.34103)
Álvarez, Amelia; Bravo, José Luis; Mardešić, Pavao Inductive solution of the tangential center problem on zero-cycles. (English) Zbl 1296.14009 Mosc. Math. J. 13, No. 4, 555-583 (2013). Reviewer: Rainer Brück (Dortmund) MSC: 14D05 34C07 34C08 14K20 34M35 PDFBibTeX XMLCite \textit{A. Álvarez} et al., Mosc. Math. J. 13, No. 4, 555--583 (2013; Zbl 1296.14009) Full Text: arXiv Link
Popa, Mihail N.; Pricop, Victor V. Applications of algebraic methods in solving the center-focus problem. (English) Zbl 1297.34045 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2013, No. 1(71), 45-71 (2013). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C14 PDFBibTeX XMLCite \textit{M. N. Popa} and \textit{V. V. Pricop}, Bul. Acad. Științe Repub. Mold., Mat. 2013, No. 1(71), 45--71 (2013; Zbl 1297.34045) Full Text: arXiv Link
Algaba, Antonio; García, Cristóbal; Giné, Jaume On the formal integrability problem for planar differential systems. (English) Zbl 1282.34005 Abstr. Appl. Anal. 2013, Article ID 482305, 10 p. (2013). Reviewer: M. A. M. Alwash (Culver City) MSC: 34A05 34C05 34C25 34C45 PDFBibTeX XMLCite \textit{A. Algaba} et al., Abstr. Appl. Anal. 2013, Article ID 482305, 10 p. (2013; Zbl 1282.34005) Full Text: DOI
Mahdi, Adam Center problem for third-order ODEs. (English) Zbl 1270.34045 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350078, 11 p. (2013). MSC: 34C05 34C45 PDFBibTeX XMLCite \textit{A. Mahdi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350078, 11 p. (2013; Zbl 1270.34045) Full Text: DOI
Li, Feng Integrability and bifurcations of limit cycles in a cubic Kolmogorov system. (English) Zbl 1270.34043 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350061, 6 p. (2013). MSC: 34C05 34C23 34C25 PDFBibTeX XMLCite \textit{F. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350061, 6 p. (2013; Zbl 1270.34043) Full Text: DOI
Li, Feng; Wang, Miao Bifurcation of limit cycles in a quintic system with ten parameters. (English) Zbl 1268.34060 Nonlinear Dyn. 71, No. 1-2, 213-222 (2013). MSC: 34C05 34C23 34D08 PDFBibTeX XMLCite \textit{F. Li} and \textit{M. Wang}, Nonlinear Dyn. 71, No. 1--2, 213--222 (2013; Zbl 1268.34060) Full Text: DOI
Ren, Qingjun; Huang, Yikun; Li, Feng Computing center conditions for non-analytic ninth degree vector fields with constant angular speed. (English) Zbl 1377.34038 Adv. Difference Equ. 2012, Paper No. 231, 8 p. (2012). MSC: 34C05 34C07 34C60 PDFBibTeX XMLCite \textit{Q. Ren} et al., Adv. Difference Equ. 2012, Paper No. 231, 8 p. (2012; Zbl 1377.34038) Full Text: DOI
Li, Hongwei; Wu, Yusen; Jin, Yinlai Local bifurcation of limit cycles and integrability of a class of nilpotent systems. (English) Zbl 1278.34029 Adv. Difference Equ. 2012, Paper No. 20, 11 p. (2012). MSC: 34C05 34C07 34D08 PDFBibTeX XMLCite \textit{H. Li} et al., Adv. Difference Equ. 2012, Paper No. 20, 11 p. (2012; Zbl 1278.34029) Full Text: DOI
Li, Hongwei; Li, Feng; Jin, Yinlai Bifurcation of limit cycles in a septic system with 13 parameters. (Chinese. English summary) Zbl 1274.34092 Chin. Ann. Math., Ser. A 33, No. 4, 415-424 (2012). MSC: 34C05 34C07 34C23 34C25 PDFBibTeX XMLCite \textit{H. Li} et al., Chin. Ann. Math., Ser. A 33, No. 4, 415--424 (2012; Zbl 1274.34092)
Caubergh, M.; Llibre, J.; Torregrosa, J. Global phase portraits of some reversible cubic centers with collinear or infinitely many singularities. (English) Zbl 1258.34052 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 11, Paper No. 1250273, 20 p. (2012). MSC: 34C05 34C14 34C41 PDFBibTeX XMLCite \textit{M. Caubergh} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 11, Paper No. 1250273, 20 p. (2012; Zbl 1258.34052) Full Text: DOI
Li, Feng; Liu, Yi Rong; Jin, Yin Lai Bifurcations of limit circles and center conditions for a class of non-analytic cubic \(Z_2\) polynomial differential systems. (English) Zbl 1269.34046 Acta Math. Sin., Engl. Ser. 28, No. 11, 2275-2288 (2012). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{F. Li} et al., Acta Math. Sin., Engl. Ser. 28, No. 11, 2275--2288 (2012; Zbl 1269.34046) Full Text: DOI
Dias, Fabio Scalco; Mello, Luis Fernando The center-focus problem and small amplitude limit cycles in rigid systems. (English) Zbl 1245.34033 Discrete Contin. Dyn. Syst. 32, No. 5, 1627-1637 (2012). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 34C25 34C23 PDFBibTeX XMLCite \textit{F. S. Dias} and \textit{L. F. Mello}, Discrete Contin. Dyn. Syst. 32, No. 5, 1627--1637 (2012; Zbl 1245.34033) Full Text: DOI
Liu, Yirong; Li, Jibin On third-order nilpotent critical points: integral factor method. (English) Zbl 1248.34048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1293-1309 (2011). MSC: 34C23 34C05 34C25 34C07 34A05 34C45 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{J. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1293--1309 (2011; Zbl 1248.34048) Full Text: DOI
Li, Feng; Jin, Yinlai Center conditions and bifurcation of limit cycles at the nilpotent critical point in a quintic Lyapunov system. (English) Zbl 1249.37030 J. Math. Res. Expo. 31, No. 5, 937-945 (2011). MSC: 37G15 37G10 34C05 34C23 PDFBibTeX XMLCite \textit{F. Li} and \textit{Y. Jin}, J. Math. Res. Expo. 31, No. 5, 937--945 (2011; Zbl 1249.37030) Full Text: DOI
Li, Feng; Liu, Yirong; Li, Hongwei Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system. (English) Zbl 1242.34050 Math. Comput. Simul. 81, No. 12, 2595-2607 (2011). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C07 34C23 34-04 PDFBibTeX XMLCite \textit{F. Li} et al., Math. Comput. Simul. 81, No. 12, 2595--2607 (2011; Zbl 1242.34050) Full Text: DOI
Li, Feng; Liu, Yirong; Wu, Yusen Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a seventh degree Lyapunov system. (English) Zbl 1221.34079 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2598-2608 (2011). MSC: 34C05 34C23 37G15 PDFBibTeX XMLCite \textit{F. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2598--2608 (2011; Zbl 1221.34079) Full Text: DOI
Cozma, Dumitru The problem of the centre for cubic differential systems with two homogeneous invariant straight lines and one invariant conic. (English) Zbl 1240.34161 Ann. Differ. Equations 26, No. 4, 385-399 (2010). MSC: 34C05 34C25 34C45 PDFBibTeX XMLCite \textit{D. Cozma}, Ann. Differ. Equations 26, No. 4, 385--399 (2010; Zbl 1240.34161)
Cozma, Dumitru Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic. (English) Zbl 1235.34094 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2010, No. 3(64), 51-66 (2010). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C45 34C25 PDFBibTeX XMLCite \textit{D. Cozma}, Bul. Acad. Științe Repub. Mold., Mat. 2010, No. 3(64), 51--66 (2010; Zbl 1235.34094) Full Text: Link
Nicklason, Gary R. Constant invariant solutions of the Poincaré center-focus problem. (English) Zbl 1218.34033 Electron. J. Differ. Equ. 2010, Paper No. 130, 11 p. (2010). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34A05 34C25 34C14 PDFBibTeX XMLCite \textit{G. R. Nicklason}, Electron. J. Differ. Equ. 2010, Paper No. 130, 11 p. (2010; Zbl 1218.34033) Full Text: EuDML EMIS
Briskin, Miriam; Roytvarf, Nina; Yomdin, Yosef Center conditions at infinity for Abel differential equations. (English) Zbl 1216.34025 Ann. Math. (2) 172, No. 1, 437-483 (2010). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C07 34C08 34C25 30E05 34M35 PDFBibTeX XMLCite \textit{M. Briskin} et al., Ann. Math. (2) 172, No. 1, 437--483 (2010; Zbl 1216.34025) Full Text: DOI
Cerveau, Dominique Singular points of differential equations: on a theorem of Poincaré. (Points singuliers des équations différentielles.) (English. French original) Zbl 1211.34039 Charpentier, Éric (ed.) et al., The scientific legacy of Poincaré. Transl. from the French by Joshua Bowman. Providence, RI: American Mathematical Society (AMS); London: London Mathematical Society (LMS) (ISBN 978-0-8218-4718-3/hbk). History of Mathematics 36, 112-127 (2010). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34-03 32S65 37C10 34A05 PDFBibTeX XMLCite \textit{D. Cerveau}, in: The scientific legacy of Poincaré. Transl. from the French by Joshua Bowman. Providence, RI: American Mathematical Society (AMS); London: London Mathematical Society (LMS). 99--112 (2010; Zbl 1211.34039)
Bu, Jueping; Zhao, Qianqian; Bi, Xianbing Criterion of center-focus and limit cycle bifurcation for a class of three-order nilpotent singular points. (Chinese. English summary) Zbl 1212.34099 J. Hubei Univ. Nationalities, Nat. Sci. 27, No. 3, 293-297 (2009). MSC: 34C05 34C07 34C23 PDFBibTeX XMLCite \textit{J. Bu} et al., J. Hubei Univ. Nationalities, Nat. Sci. 27, No. 3, 293--297 (2009; Zbl 1212.34099)
Brudnyi, Alexander Free subgroups of the group of formal power series and the center problem for ODEs. (English) Zbl 1183.37125 C. R. Math. Acad. Sci., Soc. R. Can. 31, No. 4, 97-106 (2009). MSC: 37L10 34C07 PDFBibTeX XMLCite \textit{A. Brudnyi}, C. R. Math. Acad. Sci., Soc. R. Can. 31, No. 4, 97--106 (2009; Zbl 1183.37125)
Llibre, Jaume; Valls, Clàudia Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems. (English) Zbl 1195.34046 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 5, 657-679 (2009). Reviewer: Alexander Grin (Grodno) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 5, 657--679 (2009; Zbl 1195.34046) Full Text: DOI
Pakovich, F.; Muzychuk, M. Solution of the polynomial moment problem. (English) Zbl 1177.30046 Proc. Lond. Math. Soc. (3) 99, No. 3, 633-657 (2009). MSC: 30E05 30E10 PDFBibTeX XMLCite \textit{F. Pakovich} and \textit{M. Muzychuk}, Proc. Lond. Math. Soc. (3) 99, No. 3, 633--657 (2009; Zbl 1177.30046) Full Text: DOI arXiv
Boularas, Driss About the Poincaré-Lyapunov theorem and necessary conditions for the existence of a center. (Théorème de Poincaré-Lyapunov et conditions nécessaires d’existence d’un centre.) (French. Abridged English version) Zbl 1194.34046 C. R., Math., Acad. Sci. Paris 347, No. 19-20, 1129-1134 (2009). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{D. Boularas}, C. R., Math., Acad. Sci. Paris 347, No. 19--20, 1129--1134 (2009; Zbl 1194.34046) Full Text: DOI
Algaba, A.; García, C.; Reyes, M. Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations. (English) Zbl 1201.34061 Appl. Math. Comput. 215, No. 1, 314-323 (2009). Reviewer: Armengol Gasull (Barcelona) MSC: 34C23 34C25 34C07 37C10 34C05 PDFBibTeX XMLCite \textit{A. Algaba} et al., Appl. Math. Comput. 215, No. 1, 314--323 (2009; Zbl 1201.34061) Full Text: DOI
Cima, Anna; Gasull, Armengol; Medrado, João C. On persistent centers. (English) Zbl 1183.34041 Bull. Sci. Math. 133, No. 6, 644-657 (2009). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{A. Cima} et al., Bull. Sci. Math. 133, No. 6, 644--657 (2009; Zbl 1183.34041) Full Text: DOI
Nicklason, G. R. A general class of centers for the Poincaré problem. (English) Zbl 1190.34034 J. Math. Anal. Appl. 358, No. 1, 75-80 (2009). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C14 PDFBibTeX XMLCite \textit{G. R. Nicklason}, J. Math. Anal. Appl. 358, No. 1, 75--80 (2009; Zbl 1190.34034) Full Text: DOI
Cozma, Dumitru The problem of the centre for cubic systems with two parallel invariant straight lines and one invariant conic. (English) Zbl 1190.34032 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 2, 213-234 (2009). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 PDFBibTeX XMLCite \textit{D. Cozma}, NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 2, 213--234 (2009; Zbl 1190.34032) Full Text: DOI
Llibre, Jaume; Valls, Claudia Centers for polynomial vector fields of arbitrary degree. (English) Zbl 1172.34023 Commun. Pure Appl. Anal. 8, No. 2, 725-742 (2009). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C07 34C25 34C14 37C10 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Commun. Pure Appl. Anal. 8, No. 2, 725--742 (2009; Zbl 1172.34023) Full Text: DOI
García, Isaac A.; Giné, Jaume The center problem via averaging method. (English) Zbl 1171.34311 J. Math. Anal. Appl. 351, No. 1, 334-339 (2009). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C29 34C23 34C25 37C27 PDFBibTeX XMLCite \textit{I. A. García} and \textit{J. Giné}, J. Math. Anal. Appl. 351, No. 1, 334--339 (2009; Zbl 1171.34311) Full Text: DOI
Żołądek, Henryk Analytic ordinary differential equations and their local classification. (English) Zbl 1191.34001 Battelli, Flaviano (ed.) et al., Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-53031-8/hbk). Handbook of Differential Equations, 593-687 (2008). Reviewer: Vladimir P. Kostov (Nice) MSC: 34-02 34M35 34M40 32S65 PDFBibTeX XMLCite \textit{H. Żołądek}, in: Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland. 593--687 (2008; Zbl 1191.34001)
Proudnikov, I. M. Construction of a stabilizing control and solution to a problem about the center and the focus for differential systems with a polynomial part on the right side. (English) Zbl 1163.34344 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4694-4705 (2008). Reviewer: Svitlana P. Rogovchenko (Kalmar) MSC: 34C20 34D20 34C05 93D20 34C07 PDFBibTeX XMLCite \textit{I. M. Proudnikov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4694--4705 (2008; Zbl 1163.34344) Full Text: DOI
Mello, Luis Fernando; de Carvalho Braga, Denis Phase vortex: a dynamical system approach. (English) Zbl 1151.76008 Math. Phys. Anal. Geom. 11, No. 1, 73-86 (2008). Reviewer: Kwok-wai Chung (Kowloon, Hong Kong) MSC: 76B47 34C07 34C60 PDFBibTeX XMLCite \textit{L. F. Mello} and \textit{D. de Carvalho Braga}, Math. Phys. Anal. Geom. 11, No. 1, 73--86 (2008; Zbl 1151.76008) Full Text: DOI
Proudnikov, I. M. Construction of a stabilizing control and solution to a problem about the center and the focus for differential systems with a polynomial part on the right side. (English) Zbl 1163.34023 Cubo 9, No. 3, 13-28 (2007). Reviewer: Svitlana P. Rogovchenko (Kalmar) MSC: 34C20 34D20 34C05 93D20 34C07 PDFBibTeX XMLCite \textit{I. M. Proudnikov}, Cubo 9, No. 3, 13--28 (2007; Zbl 1163.34023) Full Text: arXiv
Giné, Jaume On some open problems in planar differential systems and Hilbert’s 16th problem. (English) Zbl 1149.34023 Chaos Solitons Fractals 31, No. 5, 1118-1134 (2007). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 37C10 PDFBibTeX XMLCite \textit{J. Giné}, Chaos Solitons Fractals 31, No. 5, 1118--1134 (2007; Zbl 1149.34023) Full Text: DOI
Dolov, M. V.; Pavlyuk, Yu. V. Linear partial integrals and the integrability by Darboux. (Russian) Zbl 1150.34385 Tr. Sredn. Mat. Obshch. 8, No. 1, 69-81 (2006). MSC: 34C05 34C07 34A05 PDFBibTeX XMLCite \textit{M. V. Dolov} and \textit{Yu. V. Pavlyuk}, Tr. Sredn. Mat. Obshch. 8, No. 1, 69--81 (2006; Zbl 1150.34385)
Bondar’, Yu. L.; Sadovskii, A. P. Solution of the center-focus problem for a cubic system reducible to a Liénard system. (English. Russian original) Zbl 1132.34313 Differ. Equ. 42, No. 1, 10-25 (2006); translation from Differ. Uravn. 42, No. 1, 11-22 (2006). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{Yu. L. Bondar'} and \textit{A. P. Sadovskii}, Differ. Equ. 42, No. 1, 10--25 (2006; Zbl 1132.34313); translation from Differ. Uravn. 42, No. 1, 11--22 (2006) Full Text: DOI
Ma, Shilong Formalizing a reasoning strategy in symbolic approach to differential equations. (English) Zbl 1104.34023 Wang, Dongming (ed.) et al., Differential equations with symbolic computation. Basel: Birkhäuser (ISBN 3-7643-7368-7/hbk). Trends in Mathematics, 159-171 (2005). MSC: 34C05 68W30 PDFBibTeX XMLCite \textit{S. Ma}, in: Differential equations with symbolic computation. Basel: Birkhäuser. 159--171 (2005; Zbl 1104.34023)
Xie, Xiangdong; Chen, Fengde The uniqueness of limit cycle and the structure of critical point at infinity for a class of cubic system. (English) Zbl 1096.34523 Ann. Differ. Equations 21, No. 3, 474-479 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{X. Xie} and \textit{F. Chen}, Ann. Differ. Equations 21, No. 3, 474--479 (2005; Zbl 1096.34523)
Gasull, A.; Prohens, R.; Torregrosa, J. Limit cycles for rigid cubic systems. (English) Zbl 1076.34031 J. Math. Anal. Appl. 303, No. 2, 391-404 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C23 PDFBibTeX XMLCite \textit{A. Gasull} et al., J. Math. Anal. Appl. 303, No. 2, 391--404 (2005; Zbl 1076.34031) Full Text: DOI
Varin, Victor The center-focus problem and variational equations. (English) Zbl 1383.47009 Akça, Haydar (ed.) et al., Proceedings of the international conference: 2004 – Dynamical systems and applications. Papers based on talks given at the conference, Antalya, Turkey, July 5–10, 2004. Dhahran: King Fahd University of Petroleum and Minerals, Department of Mathematical Sciences. 695-705, electronic only (2004). MSC: 47J20 34A34 PDFBibTeX XMLCite \textit{V. Varin}, in: Proceedings of the international conference: 2004 -- Dynamical systems and applications. Papers based on talks given at the conference, Antalya, Turkey, July 5--10, 2004. Dhahran: King Fahd University of Petroleum and Minerals, Department of Mathematical Sciences. 695--705 (2004; Zbl 1383.47009) Full Text: Link
Brudnyi, Alexander An explicit expression for the first return map in the center problem. (English) Zbl 1066.34026 J. Differ. Equations 206, No. 2, 306-314 (2004). Reviewer: Peter Smith (Keele) MSC: 34C05 PDFBibTeX XMLCite \textit{A. Brudnyi}, J. Differ. Equations 206, No. 2, 306--314 (2004; Zbl 1066.34026) Full Text: DOI
Yomdin, Y. The center problem for the Abel equation, compositions of functions, and moment conditions. (English) Zbl 1086.34031 Mosc. Math. J. 3, No. 3, 1167-1195 (2003). MSC: 34C07 34C05 30E05 PDFBibTeX XMLCite \textit{Y. Yomdin}, Mosc. Math. J. 3, No. 3, 1167--1195 (2003; Zbl 1086.34031) Full Text: Link
Şubă, Alexandru Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English) Zbl 1051.34021 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2003, No. 1(41), 91-101 (2003). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 PDFBibTeX XMLCite \textit{A. Şubă}, Bul. Acad. Științe Repub. Mold., Mat. 2003, No. 1(41), 91--101 (2003; Zbl 1051.34021)