Kulagin, N.; Lerman, L.; Malkin, A. Solitons and cavitons in a nonlocal Whitham equation. (English) Zbl 07274920 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105525, 19 p. (2021). MSC: 76B25 35Q51 37N10 PDF BibTeX XML Cite \textit{N. Kulagin} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105525, 19 p. (2021; Zbl 07274920) 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 PDF BibTeX XML Cite \textit{F. Sassi} et al., Arch. Math. 115, No. 5, 567--574 (2020; Zbl 1451.37081) Full Text: DOI
Dias, Fabio Scalco; Mello, Luis Fernando Nonlinear differential systems in the 3-space: a note on periodic solutions by the analysis of two examples. (English) Zbl 07242889 Math. Methods Appl. Sci. 43, No. 7, 4383-4390 (2020). MSC: 34C23 34C45 34A34 34C05 PDF BibTeX XML Cite \textit{F. S. Dias} and \textit{L. F. Mello}, Math. Methods Appl. Sci. 43, No. 7, 4383--4390 (2020; Zbl 07242889) Full Text: DOI
Giné, Jaume; Valls, Claudia Small-amplitude limit cycles of certain planar differential systems. (English) Zbl 1447.34031 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 53, 7 p. (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 34C23 34A34 PDF BibTeX XML Cite \textit{J. Giné} and \textit{C. Valls}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 53, 7 p. (2020; Zbl 1447.34031) Full Text: DOI
Alwash, Mohamad A. M. Uniformly isochronous quartic systems. (English) Zbl 07173470 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 2, 13 p. (2020). MSC: 34C05 34C07 34C25 37G15 PDF BibTeX XML Cite \textit{M. A. M. Alwash}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 2, 13 p. (2020; Zbl 07173470) Full Text: DOI
Zhou, Zhengxin On the center-focus problem for a family of high-order polynomial differential systems. (English) Zbl 07169601 J. Dyn. Differ. Equations 32, No. 1, 393-418 (2020). MSC: 34C07 34C05 34C25 37G15 PDF BibTeX XML Cite \textit{Z. Zhou}, J. Dyn. Differ. Equations 32, No. 1, 393--418 (2020; Zbl 07169601) Full Text: DOI
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 PDF BibTeX XML Cite \textit{F. Li} and \textit{S. Li}, Nonlinear Dyn. 96, No. 1, 553--563 (2019; Zbl 1437.37068) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Giné} et al., Electron. J. Differ. Equ. 2019, Paper No. 71, 8 p. (2019; Zbl 1423.34031) Full Text: Link
Chen, Xingwu Development of the local bifurcation of critical periods. (Chinese. English summary) Zbl 1413.34145 J. Sichuan Norm. Univ., Nat. Sci. 41, No. 2, 143-153 (2018). MSC: 34C23 37G15 34C05 34C25 PDF BibTeX XML Cite \textit{X. Chen}, J. Sichuan Norm. Univ., Nat. Sci. 41, No. 2, 143--153 (2018; Zbl 1413.34145) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{J. Giné} and \textit{C. Valls}, J. Nonlinear Math. Phys. 25, No. 3, 387--398 (2018; Zbl 1417.34069) Full Text: DOI
Romanovski, Valery G.; Shafer, Douglas S. Centers and limit cycles in polynomial systems of ordinary differential equations. (English) Zbl 1383.34053 Araújo dos Santos, Raimundo Nonato (ed.) et al., School on real and complex singularities in São Carlos, Brazil, July 16–21, 2012 and 12th international workshop on real and complex singularities, São Carlos, Brazil, July 22–27, 2012. Lecture notes. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-030-3/hbk). Advanced Studies in Pure Mathematics 68, 267-373 (2016). MSC: 34C05 34C07 34C20 34C23 34C45 37G05 37G10 PDF BibTeX XML Cite \textit{V. G. Romanovski} and \textit{D. S. Shafer}, Adv. Stud. Pure Math. 68, 267--373 (2016; Zbl 1383.34053)
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 PDF BibTeX XML Cite \textit{M. Briskin} et al., Ergodic Theory Dyn. Syst. 36, No. 3, 714--744 (2016; Zbl 1362.37055) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{G. R. Nicklason}, Electron. J. Differ. Equ. 2015, Paper No. 189, 17 p. (2015; Zbl 1330.34052) Full Text: EMIS
Yu, Pei; Han, Maoan Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation. (English) Zbl 1336.34051 Appl. Math. Lett. 44, 17-20 (2015). Reviewer: Valery Romanovski (Maribor) MSC: 34C07 34C23 34C45 34C20 34C05 PDF BibTeX XML Cite \textit{P. Yu} and \textit{M. Han}, Appl. Math. Lett. 44, 17--20 (2015; Zbl 1336.34051) Full Text: DOI
Wu, Yusen; Xu, Changjin Center-focus and Hopf bifurcation for a class of quartic Kukles-like systems. (English) Zbl 1417.34074 Adv. Difference Equ. 2014, Paper No. 245, 11 p. (2014). MSC: 34C05 37G15 34C23 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{C. Xu}, Adv. Difference Equ. 2014, Paper No. 245, 11 p. (2014; Zbl 1417.34074) Full Text: DOI
Li, Feng; Wu, Yusen Center conditions and limit cycles for a class of nilpotent-Poincarè systems. (English) Zbl 1335.34065 Appl. Math. Comput. 243, 114-120 (2014). MSC: 34C05 34C07 37G15 PDF BibTeX XML Cite \textit{F. Li} and \textit{Y. Wu}, Appl. Math. Comput. 243, 114--120 (2014; Zbl 1335.34065) Full Text: DOI
Feng, Li; Jianlong, Qiu; Jing, Li 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). MSC: 37G15 PDF BibTeX XML Cite \textit{L. Feng} et al., Nonlinear Dyn. 76, No. 1, 183--197 (2014; Zbl 1319.37035) Full Text: DOI
Tian, Yun; Yu, Pei Seven limit cycles around a focus point in a simple three-dimensional quadratic vector field. (English) Zbl 1296.34101 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 6, Article ID 1450083, 10 p. (2014). MSC: 34C23 34C05 34C45 34C20 PDF BibTeX XML Cite \textit{Y. Tian} and \textit{P. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 6, Article ID 1450083, 10 p. (2014; Zbl 1296.34101) Full Text: DOI
Zhang, Xiang Inverse Jacobian multipliers and Hopf bifurcation on center manifolds. (English) Zbl 1417.34089 J. Differ. Equations 256, No. 9, 3278-3299 (2014). MSC: 34C23 34A34 34D20 34D35 34C14 37G05 PDF BibTeX XML Cite \textit{X. Zhang}, J. Differ. Equations 256, No. 9, 3278--3299 (2014; Zbl 1417.34089) 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 PDF BibTeX XML Cite \textit{L. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 485--522 (2014; Zbl 1287.34023) Full Text: DOI
García, Isaac A.; Maza, Susanna; Shafer, Douglas S. Properties of monodromic points on center manifolds in \(\mathbb R^3\) via Lie symmetries. (English) Zbl 1311.37036 J. Dyn. Differ. Equations 25, No. 4, 981-1000 (2013). Reviewer: Ricardo Miranda Martins (Campinas) MSC: 37G15 37G10 34C07 PDF BibTeX XML Cite \textit{I. A. García} et al., J. Dyn. Differ. Equations 25, No. 4, 981--1000 (2013; Zbl 1311.37036) Full Text: DOI
García, Isaac A.; Llibre, Jaume; Maza, Susanna Cyclicity of a simple focus via the vanishing multiplicity of inverse integrating factors. (English) Zbl 1285.37017 J. Differ. Equations 255, No. 11, 3880-3896 (2013). Reviewer: Iliya Iliev (Sofia) MSC: 37G15 34C05 37G10 34C07 PDF BibTeX XML Cite \textit{I. A. García} et al., J. Differ. Equations 255, No. 11, 3880--3896 (2013; Zbl 1285.37017) Full Text: DOI
Costin, Rodica D. Explicit derivation of return maps for planar vector fields with nilpotent linear part with a center or a focus. (English) Zbl 1275.34046 Anal. Appl., Singap. 11, No. 3, ID 1350011, 17 P. (2013). Reviewer: Marco Spadini (Firenze) MSC: 34C05 34E05 34C20 PDF BibTeX XML Cite \textit{R. D. Costin}, Anal. Appl., Singap. 11, No. 3, ID 1350011, 17 P. (2013; Zbl 1275.34046) Full Text: DOI
Amel’kin, V. V. On a normal form of holomorphic systems with a center or a weak focus. (Russian. English summary) Zbl 1315.34044 Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2012, No. 3, 142-144 (2012). MSC: 34C20 34C05 PDF BibTeX XML Cite \textit{V. V. Amel'kin}, Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2012, No. 3, 142--144 (2012; Zbl 1315.34044)
Edneral, Victor F.; Mahdi, Adam; Romanovski, Valery G.; Shafer, Douglas S. The center problem on a center manifold in \(\mathbb{R}^{3}\). (English) Zbl 1259.34021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2614-2622 (2012). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C40 34C20 PDF BibTeX XML Cite \textit{V. F. Edneral} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2614--2622 (2012; Zbl 1259.34021) 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 PDF BibTeX XML Cite \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; 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 PDF BibTeX XML Cite \textit{F. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2598--2608 (2011; Zbl 1221.34079) Full Text: DOI
Akhmet, Marat U.; Aruğaslan, Duygu Bifurcation of a non-smooth planar limit cycle from a vertex. (English) Zbl 1239.34035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2723-e2733 (2009). MSC: 34C23 34C05 37G15 PDF BibTeX XML Cite \textit{M. U. Akhmet} and \textit{D. Aruğaslan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2723--e2733 (2009; Zbl 1239.34035) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. Brudnyi}, C. R. Math. Acad. Sci., Soc. R. Can. 31, No. 4, 97--106 (2009; Zbl 1183.37125)
Rudenok, A. E. Strong isochronism of a center and a focus for systems with homogeneous nonlinearities. (English. Russian original) Zbl 1198.34047 Differ. Equ. 45, No. 2, 159-167 (2009); translation from Differ. Uravn. 45, No. 2, 154-161 (2009). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C20 34C25 37C10 PDF BibTeX XML Cite \textit{A. E. Rudenok}, Differ. Equ. 45, No. 2, 159--167 (2009; Zbl 1198.34047); translation from Differ. Uravn. 45, No. 2, 154--161 (2009) 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 1163.34344 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{I. M. Proudnikov}, Cubo 9, No. 3, 13--28 (2007; Zbl 1163.34023)
Freire, E.; Ponce, E.; Ros, J. A biparametric bifurcation in 3D continuous piecewise linear systems with two zones. Application to Chua’s circuit. (English) Zbl 1153.34026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 2, 445-457 (2007). Reviewer: Kwok-wai Chung (Kowloon, Hong Kong) MSC: 34C23 37G15 34C05 34C25 94C05 34A36 PDF BibTeX XML Cite \textit{E. Freire} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 2, 445--457 (2007; Zbl 1153.34026) 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 PDF BibTeX XML Cite \textit{M. V. Dolov} and \textit{Yu. V. Pavlyuk}, Tr. Sredn. Mat. Obshch. 8, No. 1, 69--81 (2006; Zbl 1150.34385)
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 PDF BibTeX XML Cite \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
Han, M.; Lin, Y.; Yu, P. A study on the existence of limit cycles of a planar system with third-degree polynomials. (English) Zbl 1078.34017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 41-60 (2004). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C20 34D10 PDF BibTeX XML Cite \textit{M. Han} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 41--60 (2004; Zbl 1078.34017) Full Text: DOI
Giné, Jaume; Santallusia, Xavier On the Poincaré–Lyapunov constants and the Poincaré series. (English) Zbl 1022.34028 Appl. Math. 28, No. 1, 17-30 (2001). Reviewer: Ruyun Ma (Lanzhou) MSC: 34C05 34A34 34C25 PDF BibTeX XML Cite \textit{J. Giné} and \textit{X. Santallusia}, Appl. Math. 28, No. 1, 17--30 (2001; Zbl 1022.34028) Full Text: DOI
Liu, Yirong Theory of center-focus for a class of higher-degree critical points and infinite points. (English) Zbl 1012.34027 Sci. China, Ser. A 44, No. 3, 365-377 (2001). Reviewer: Ladislav Adamec (Brno) MSC: 34C07 34C05 37G15 PDF BibTeX XML Cite \textit{Y. Liu}, Sci. China, Ser. A 44, No. 3, 365--377 (2001; Zbl 1012.34027) Full Text: DOI
Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc The focus-centre problem for a type of degenerate system. (English) Zbl 0962.34067 Nonlinearity 13, No. 3, 699-729 (2000). Reviewer: Marco Sabatini (Trento) MSC: 34M35 PDF BibTeX XML Cite \textit{A. Gasull} et al., Nonlinearity 13, No. 3, 699--729 (2000; Zbl 0962.34067) Full Text: DOI
Basov, V. V. On the stability of an equilibrium of a system of differential equations in the critical case of two pure imaginary and two zero roots of the characteristic equation. (English. Russian original) Zbl 1010.34049 Differ. Equations 35, No. 10, 1328-1333 (1999); translation from Differ. Uravn. 35, No. 10, 1313-1318 (1999). Reviewer: Olga Lykova (Kyïv) MSC: 34D20 34C20 PDF BibTeX XML Cite \textit{V. V. Basov}, Differ. Equations 35, No. 10, 1328--1333 (1999; Zbl 1010.34049); translation from Differ. Uravn. 35, No. 10, 1313--1318 (1999)
Villarini, Massimo Jets of differential equations having integrable extensions. (English) Zbl 0919.58048 Ergodic Theory Dyn. Syst. 18, No. 6, 1527-1544 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37G99 PDF BibTeX XML Cite \textit{M. Villarini}, Ergodic Theory Dyn. Syst. 18, No. 6, 1527--1544 (1998; Zbl 0919.58048) Full Text: DOI
Chavarriga, Javier; Giné, Jaume Polynomial first integrals of systems in the plane with center type linear part. (English) Zbl 0890.34026 Nonlinear Anal., Theory Methods Appl. 31, No. 5-6, 521-535 (1998). Reviewer: Marco Antonio Teixeira (Campinas) MSC: 34C05 37G15 PDF BibTeX XML Cite \textit{J. Chavarriga} and \textit{J. Giné}, Nonlinear Anal., Theory Methods Appl. 31, No. 5--6, 521--535 (1998; Zbl 0890.34026) Full Text: DOI
Sadovskij, A. P. Solution of the center-focus problem for a cubic system of nonlinear oscillations. (English. Russian original) Zbl 0908.34018 Differ. Equations 33, No. 2, 236-244 (1997); translation from Differ. Uravn. 33, No. 2, 236-244 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34A34 PDF BibTeX XML Cite \textit{A. P. Sadovskij}, Differ. Equations 33, No. 2, 236--244 (1997; Zbl 0908.34018); translation from Differ. Uravn. 33, No. 2, 236--244 (1997)
Krapivin, V. A.; Romanovskij, V. G.; Selitskij, A. V. Center conditions for a six-parameter cubic system. (English. Russian original) Zbl 0884.34042 Differ. Equations 32, No. 12, 1702-1704 (1996); translation from Differ. Uravn. 32, No. 12, 1707-1709 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34A34 37G15 PDF BibTeX XML Cite \textit{V. A. Krapivin} et al., Differ. Equations 32, No. 12, 1702--1704 (1996; Zbl 0884.34042); translation from Differ. Uravn. 32, No. 12, 1707--1709 (1996)
Romanovskij, V. G. Cyclicity of the singular point of a cubic system. (English. Russian original) Zbl 0885.34031 Differ. Equations 32, No. 6, 790-793 (1996); translation from Differ. Uravn. 32, No. 6, 784-787 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34A34 PDF BibTeX XML Cite \textit{V. G. Romanovskij}, Differ. Equations 32, No. 6, 790--793 (1996; Zbl 0885.34031); translation from Differ. Uravn. 32, No. 6, 784--787 (1996)
Iliev, Iliya D. The cyclicity of the period annulus of the quadratic Hamiltonian triangle. (English) Zbl 0853.58084 J. Differ. Equations 128, No. 1, 309-326 (1996). Reviewer: G.Osipenko (St.Peterburg) MSC: 37G15 34C05 37E99 37G99 PDF BibTeX XML Cite \textit{I. D. Iliev}, J. Differ. Equations 128, No. 1, 309--326 (1996; Zbl 0853.58084) Full Text: DOI
Wang, Duo; Mao, Rei Improved K-K algorithm for computing Lyapunov values. (English) Zbl 0811.34030 Tatra Mt. Math. Publ. 4, 235-242 (1994). Reviewer: P.F.Moson (Budapest) MSC: 34C23 68W30 37G99 PDF BibTeX XML Cite \textit{D. Wang} and \textit{R. Mao}, Tatra Mt. Math. Publ. 4, 235--242 (1994; Zbl 0811.34030) Full Text: EuDML
Berezovskaya, F. C.; Medvedeva, N. B. A complicated singular point of the center-focus type and the Newton diagram. (English) Zbl 0841.58054 Bazykin, A. (ed.) et al., Mathematics and modelling. Commack, NY: Nova Science Publishers, Inc. 63-81 (1993). MSC: 37G15 34C05 37G99 PDF BibTeX XML Cite \textit{F. C. Berezovskaya} and \textit{N. B. Medvedeva}, in: Mathematics and modelling. Commack, NY: Nova Science Publishers, Inc.. 63--81 (1993; Zbl 0841.58054)
Romanovskij, V. G. On properties of an ideal generated by Lyapunov quantities. (Russian) Zbl 0724.34042 Differ. Uravn. 27, No. 2, 207-219 (1991). Reviewer: J.Andres (Olomouc) MSC: 34C20 34C05 13D10 PDF BibTeX XML Cite \textit{V. G. Romanovskij}, Differ. Uravn. 27, No. 2, 207--219 (1991; Zbl 0724.34042)
Romanovskij, V. G. Properties of the ideal generated by Lyapunov values. (English. Russian original) Zbl 0745.34031 Differ. Equations 27, No. 2, 141-150 (1991); translation from Differ. Uravn. 27, No. 2, 207-219 (1991). MSC: 34C20 34C05 13D10 PDF BibTeX XML Cite \textit{V. G. Romanovskij}, Differ. Equations 27, No. 2, 141--150 (1991; Zbl 0745.34031); translation from Differ. Uravn. 27, No. 2, 207--219 (1991)
Medvedeva, N. B. First focal quantity of a complex monodromy singularity: The general nonsingular case. (English. Russian original) Zbl 0694.57012 Mosc. Univ. Math. Bull. 44, No. 3, 31-36 (1989); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 3, 25-29 (1989). Reviewer: I.Mihut MSC: 57R25 58C25 58K99 34C05 57N05 37-XX PDF BibTeX XML Cite \textit{N. B. Medvedeva}, Mosc. Univ. Math. Bull. 44, No. 3, 31--36 (1989; Zbl 0694.57012); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 3, 25--29 (1989)
Pleshkan, I. I. Isochronism of systems of two differential equations with second members containing common factors. (English. Russian original) Zbl 0658.34021 Differ. Equations 23, No. 6, 657-667 (1987); translation from Differ. Uravn. 23, No. 6, 981-993 (1987). MSC: 34C05 34A34 PDF BibTeX XML Cite \textit{I. I. Pleshkan}, Differ. Equations 23, No. 6, 657--667 (1987; Zbl 0658.34021); translation from Differ. Uravn. 23, No. 6, 981--993 (1987)
Pleshkan, I. I. On the isochronism of systems of two differential equations the right- hand sides of which contain general multipliers. (Russian) Zbl 0641.34030 Differ. Uravn. 23, No. 6, 981-993 (1987). Reviewer: M.Svec MSC: 34C05 34A34 PDF BibTeX XML Cite \textit{I. I. Pleshkan}, Differ. Uravn. 23, No. 6, 981--993 (1987; Zbl 0641.34030)
Shirov, I. I.; Nurov, T. N. On the center problem. (K probleme tsentra). (Russian) Zbl 0591.34028 Tashkent: Izdatel’stvo ”Fan” Uzbekskoj SSR. 184 p. R. 0.90 (1985). MSC: 34C05 37-XX 34-01 PDF BibTeX XML
Aulbach, Bernd A classical approach to the analyticity problem of center manifolds. (English) Zbl 0564.34046 Z. Angew. Math. Phys. 36, 1-23 (1985). Reviewer: T.Ding MSC: 34C40 34A25 PDF BibTeX XML Cite \textit{B. Aulbach}, Z. Angew. Math. Phys. 36, 1--23 (1985; Zbl 0564.34046) Full Text: DOI
Blows, T. R.; Lloyd, N. G. The number of limit cycles of certain polynomial differential equations. (English) Zbl 0603.34020 Proc. R. Soc. Edinb., Sect. A 98, 215-239 (1984). Reviewer: A.Klič MSC: 34C05 34D10 34D20 68W30 PDF BibTeX XML Cite \textit{T. R. Blows} and \textit{N. G. Lloyd}, Proc. R. Soc. Edinb., Sect. A, Math. 98, 215--239 (1984; Zbl 0603.34020) Full Text: DOI
Amel’kin, V. V. On isochronism in the case of a center and a non-rough focus. (Russian) Zbl 0537.34047 Differ. Uravn. 18, 1073-1075 (1982). Reviewer: P.Talpalaru MSC: 37-XX 34C05 PDF BibTeX XML Cite \textit{V. V. Amel'kin}, Differ. Uravn. 18, 1073--1075 (1982; Zbl 0537.34047)
Amel’kin, V. V.; Lukashevich, N. A.; Sadovskiĭ, A. P. Nonlinear oscillations in systems of second order. (Нелинейные колебания в системах второго порядка.) (Russian) Zbl 0526.70024 Minsk: Izdatel’stvo BGU im. V. I. Lenina. 208 p. R. 1.90 (1982). Reviewer: M. E. Mayer MSC: 70Kxx 70-02 34-02 34D20 PDF BibTeX XML
Hale, Jack K. Topics in dynamic bifurcation theory. (Expository lectures from the CBMS Regional Conference held at the University of Texas at Arlington, June 16-20, 1980). (English) Zbl 0481.34008 Regional Conference Series in Mathematics, No. 47. Conference Board of the Mathematical Sciences, supp. by the National Science Foundation. Providence, R.I.: American Mathematical Society (AMS). IV, 84 p. $ 6.40 (1981). MSC: 34-01 34C25 34C15 34C28 34D30 35B32 35B35 35B40 37D45 37G99 37C75 PDF BibTeX XML
Sadovkij, A. P. An elementary proof and applications of a theorem of F. Takens. (Russian) Zbl 0469.34026 Differ. Uravn. 16, 2284-2287 (1980). MSC: 34C20 34C05 PDF BibTeX XML Cite \textit{A. P. Sadovkij}, Differ. Uravn. 16, 2284--2287 (1980; Zbl 0469.34026)
Sadovskij, A. P. Conditions under which equations for nonlinear oscillations have a center or a focus. (English) Zbl 0436.34012 Differ. Equations 15, 1226-1229 (1980). MSC: 34A34 34C05 PDF BibTeX XML Cite \textit{A. P. Sadovskij}, Differ. Equations 15, 1226--1229 (1980; Zbl 0436.34012)
Sadovskij, A. P. Formal transformations and the problem of distinguishing between a center and a focus. (English) Zbl 0423.34050 Differ. Equations 14, 1550-1553 (1979). MSC: 34C20 34C05 PDF BibTeX XML Cite \textit{A. P. Sadovskij}, Differ. Equations 14, 1550--1553 (1979; Zbl 0423.34050)
Cherkas, L. A. Conditions for the equation \(yy'=\sum^3_{i=0}p_i(x)y^i\) to have a center. (English) Zbl 0423.34042 Differ. Equations 14, 1133-1138 (1978). MSC: 34C05 34C20 PDF BibTeX XML Cite \textit{L. A. Cherkas}, Differ. Equations 14, 1133--1138 (1978; Zbl 0423.34042)