Amel’kin, V. V.; Rudenok, A. E. Centers and isochronous centers of Liénard systems. (English. Russian original) Zbl 1440.34028 Differ. Equ. 55, No. 3, 283-293 (2019); translation from Differ. Uravn. 55, No. 3, 294-303 (2019). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34A34 34C25 PDF BibTeX XML Cite \textit{V. V. Amel'kin} and \textit{A. E. Rudenok}, Differ. Equ. 55, No. 3, 283--293 (2019; Zbl 1440.34028); translation from Differ. Uravn. 55, No. 3, 294--303 (2019) Full Text: DOI
Kalitine, B. S. Stability of Liénard equation. (English. Russian original) Zbl 1412.34174 Russ. Math. 62, No. 10, 15-25 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 10, 17-28 (2018). Reviewer: Olusola Akinyele (Bowie) MSC: 34D20 PDF BibTeX XML Cite \textit{B. S. Kalitine}, Russ. Math. 62, No. 10, 15--25 (2018; Zbl 1412.34174); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 10, 17--28 (2018) Full Text: DOI
Algaba, Antonio; García, Cristóbal; Giné, Jaume; Llibre, Jaume The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields. (English) Zbl 1395.34047 J. Math. Anal. Appl. 466, No. 1, 183-198 (2018). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C25 34C05 PDF BibTeX XML Cite \textit{A. Algaba} et al., J. Math. Anal. Appl. 466, No. 1, 183--198 (2018; Zbl 1395.34047) Full Text: DOI
Wu, Yusen; Zhang, Cui; Yang, Sumin Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems. (English) Zbl 1427.37039 J. Math. Comput. Sci., JMCS 17, No. 2, 278-287 (2017). MSC: 37G15 34C05 PDF BibTeX XML Cite \textit{Y. Wu} et al., J. Math. Comput. Sci., JMCS 17, No. 2, 278--287 (2017; Zbl 1427.37039) Full Text: DOI
Mencinger, Matej; Ferčec, Brigita; Oliveira, Regilene; Pagon, Dušan Cyclicity of some analytic maps. (English) Zbl 1411.37051 Appl. Math. Comput. 295, 114-125 (2017). MSC: 37G15 39A60 34C07 34C05 PDF BibTeX XML Cite \textit{M. Mencinger} et al., Appl. Math. Comput. 295, 114--125 (2017; Zbl 1411.37051) Full Text: DOI
Sadovskii, A. P. Center-focus problem for analytic systems with nonzero linear part. (English. Russian original) Zbl 1385.34026 Differ. Equ. 53, No. 10, 1381-1386 (2017); translation from Differ. Uravn. 53, No. 10, 1413-1417 (2017). MSC: 34C05 PDF BibTeX XML Cite \textit{A. P. Sadovskii}, Differ. Equ. 53, No. 10, 1381--1386 (2017; Zbl 1385.34026); translation from Differ. Uravn. 53, No. 10, 1413--1417 (2017) Full Text: DOI
Amel’kin, V. V. On one conjecture in the theory of isochronous Liénard systems. (English. Russian original) Zbl 1402.34032 Differ. Equ. 53, No. 10, 1247-1253 (2017); translation from Differ. Uravn. 53, No. 10, 1283-1289 (2017). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C25 34C20 PDF BibTeX XML Cite \textit{V. V. Amel'kin}, Differ. Equ. 53, No. 10, 1247--1253 (2017; Zbl 1402.34032); translation from Differ. Uravn. 53, No. 10, 1283--1289 (2017) Full Text: DOI
Andreev, A. F.; Andreeva, I. A.; Detchenya, L. V.; Makovetskaya, T. V.; Sadovskii, A. P. Nilpotent centers of cubic systems. (English. Russian original) Zbl 1376.34027 Differ. Equ. 53, No. 8, 975-980 (2017); translation from Differ. Uravn. 53, No. 8, 1003-1008 (2017). MSC: 34C05 34C25 PDF BibTeX XML Cite \textit{A. F. Andreev} et al., Differ. Equ. 53, No. 8, 975--980 (2017; Zbl 1376.34027); translation from Differ. Uravn. 53, No. 8, 1003--1008 (2017) Full Text: DOI
Romanovski, Valery G.; Fernandes, Wilker; Oliveira, Regilene Bi-center problem for some classes of \(\mathbb{Z}_2\)-equivariant systems. (English) Zbl 1373.34053 J. Comput. Appl. Math. 320, 61-75 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C15 34D20 82C22 PDF BibTeX XML Cite \textit{V. G. Romanovski} et al., J. Comput. Appl. Math. 320, 61--75 (2017; Zbl 1373.34053) Full Text: DOI
Sadovskii, A. P.; Makovetskaya, T. V. The case of a constant absolute invariant for the Liénard system. (English. Russian original) Zbl 1377.34039 Differ. Equ. 53, No. 2, 192-199 (2017); translation from Differ. Uravn. 53, No. 2, 195-202 (2017). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C14 34C25 PDF BibTeX XML Cite \textit{A. P. Sadovskii} and \textit{T. V. Makovetskaya}, Differ. Equ. 53, No. 2, 192--199 (2017; Zbl 1377.34039); translation from Differ. Uravn. 53, No. 2, 195--202 (2017) Full Text: DOI
Fernandes, Wilker; Romanovski, Valery G.; Sultanova, Marzhan; Tang, Yilei Isochronicity and linearizability of a planar cubic system. (English) Zbl 1365.34062 J. Math. Anal. Appl. 450, No. 1, 795-813 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34M99 34C05 34C20 PDF BibTeX XML Cite \textit{W. Fernandes} et al., J. Math. Anal. Appl. 450, No. 1, 795--813 (2017; Zbl 1365.34062) Full Text: DOI arXiv
García, Isaac A.; Shafer, Douglas S. Cyclicity of a class of polynomial nilpotent center singularities. (English) Zbl 1336.37041 Discrete Contin. Dyn. Syst. 36, No. 5, 2497-2520 (2016). Reviewer: Maite Grau (Lleida) MSC: 37G15 37G10 34C07 PDF BibTeX XML Cite \textit{I. A. García} and \textit{D. S. Shafer}, Discrete Contin. Dyn. Syst. 36, No. 5, 2497--2520 (2016; Zbl 1336.37041) Full Text: DOI
García, Isaac A. Cyclicity of some symmetric nilpotent centers. (English) Zbl 1359.37044 J. Differ. Equations 260, No. 6, 5356-5377 (2016). Reviewer: Josef Hainzl (Freiburg) MSC: 37C25 37C10 37G15 37G10 34C07 PDF BibTeX XML Cite \textit{I. A. García}, J. Differ. Equations 260, No. 6, 5356--5377 (2016; Zbl 1359.37044) Full Text: DOI
Ferčec, Brigita; Giné, Jaume; Romanovski, Valery G.; Edneral, Victor F. Integrability of complex planar systems with homogeneous nonlinearities. (English) Zbl 1337.34003 J. Math. Anal. Appl. 434, No. 1, 894-914 (2016). Reviewer: M. A. M. Alwash (Culver City) MSC: 34A05 34C05 PDF BibTeX XML Cite \textit{B. Ferčec} et al., J. Math. Anal. Appl. 434, No. 1, 894--914 (2016; Zbl 1337.34003) Full Text: DOI
Chaoxiong, Du The problem of bicenter and isochronicity for a class of quasi symmetric planar systems. (English) Zbl 07022462 Abstr. Appl. Anal. 2014, Article ID 482450, 11 p. (2014). MSC: 34 65 PDF BibTeX XML Cite \textit{D. Chaoxiong}, Abstr. Appl. Anal. 2014, Article ID 482450, 11 p. (2014; Zbl 07022462) Full Text: DOI
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian Persistent centers of complex systems. (English) Zbl 1291.34061 Bull. Sci. Math. 138, No. 1, 110-123 (2014). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C25 34M99 PDF BibTeX XML Cite \textit{X. Chen} et al., Bull. Sci. Math. 138, No. 1, 110--123 (2014; Zbl 1291.34061) Full Text: DOI
Huang, Wentao; Chen, Ting; Gu, Tianlong Fourteen limit cycles in a seven-degree nilpotent system. (English) Zbl 1298.34062 Abstr. Appl. Anal. 2013, Article ID 398609, 5 p. (2013). MSC: 34C07 34C05 34C23 PDF BibTeX XML Cite \textit{W. Huang} et al., Abstr. Appl. Anal. 2013, Article ID 398609, 5 p. (2013; Zbl 1298.34062) Full Text: DOI
Han, Maoan; Romanovski, Valery G. Limit cycle bifurcations from a nilpotent focus or center of planar systems. (English) Zbl 1261.34032 Abstr. Appl. Anal. 2012, Article ID 720830, 28 p. (2012). MSC: 34C05 34C25 34C23 PDF BibTeX XML Cite \textit{M. Han} and \textit{V. G. Romanovski}, Abstr. Appl. Anal. 2012, Article ID 720830, 28 p. (2012; Zbl 1261.34032) Full Text: DOI arXiv
Dong, Guangfeng Linearizability of homogeneous quartic polynomial systems with \(1:-2\) resonance. (English) Zbl 1259.34026 J. Math. Anal. Appl. 396, No. 1, 215-224 (2012). Reviewer: Valery Romanovski (Maribor) MSC: 34C20 PDF BibTeX XML Cite \textit{G. Dong}, J. Math. Anal. Appl. 396, No. 1, 215--224 (2012; Zbl 1259.34026) Full Text: DOI
Han, Maoan; Romanovski, Valery G. Isochronicity and normal forms of polynomial systems of ODEs. (English) Zbl 1248.34046 J. Symb. Comput. 47, No. 10, 1163-1174 (2012). MSC: 34C20 34C05 34C25 34-04 PDF BibTeX XML Cite \textit{M. Han} and \textit{V. G. Romanovski}, J. Symb. Comput. 47, No. 10, 1163--1174 (2012; Zbl 1248.34046) Full Text: DOI
Bardet, Magali; Boussaada, Islam; Chouikha, A. Raouf; Strelcyn, Jean-Marie Isochronicity conditions for some planar polynomial systems. II. (English) Zbl 1221.34076 Bull. Sci. Math. 135, No. 2, 230-249 (2011). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C25 PDF BibTeX XML Cite \textit{M. Bardet} et al., Bull. Sci. Math. 135, No. 2, 230--249 (2011; Zbl 1221.34076) Full Text: DOI arXiv
Boussaada, Islam; Chouikha, A. Raouf; Strelcyn, Jean-Marie Isochronicity conditions for some planar polynomial systems. (English) Zbl 1220.34047 Bull. Sci. Math. 135, No. 1, 89-112 (2011). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C25 34C20 PDF BibTeX XML Cite \textit{I. Boussaada} et al., Bull. Sci. Math. 135, No. 1, 89--112 (2011; Zbl 1220.34047) Full Text: DOI arXiv
Chen, Xingwu; Romanovski, Valery G. Linearizability conditions of time-reversible cubic systems. (English) Zbl 1192.34037 J. Math. Anal. Appl. 362, No. 2, 438-449 (2010). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C20 PDF BibTeX XML Cite \textit{X. Chen} and \textit{V. G. Romanovski}, J. Math. Anal. Appl. 362, No. 2, 438--449 (2010; Zbl 1192.34037) Full Text: DOI
Du, Chaoxiong; Liu, Yirong; Mi, Heilong A class of ninth degree system with four isochronous centers. (English) Zbl 1165.34338 Comput. Math. Appl. 56, No. 10, 2609-2620 (2008). MSC: 34C07 34C05 PDF BibTeX XML Cite \textit{C. Du} et al., Comput. Math. Appl. 56, No. 10, 2609--2620 (2008; Zbl 1165.34338) Full Text: DOI
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities. (English) Zbl 1159.34025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 5-6, 1525-1539 (2008). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C07 34C20 PDF BibTeX XML Cite \textit{X. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 5--6, 1525--1539 (2008; Zbl 1159.34025) Full Text: DOI
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities. (English) Zbl 1144.34021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2769-2778 (2008). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 PDF BibTeX XML Cite \textit{X. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2769--2778 (2008; Zbl 1144.34021) Full Text: DOI
Dolićanin, Diana; Milovanović, Gradimir V.; Romanovski, Valery G. Linearizability conditions for a cubic system. (English) Zbl 1133.34331 Appl. Math. Comput. 190, No. 1, 937-945 (2007). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C25 34C41 PDF BibTeX XML Cite \textit{D. Dolićanin} et al., Appl. Math. Comput. 190, No. 1, 937--945 (2007; Zbl 1133.34331) Full Text: DOI
Cherkas, L. A.; Romanovski, V. G. The center conditions for a Liénard system. (English) Zbl 1147.34314 Comput. Math. Appl. 52, No. 3-4, 363-374 (2006). MSC: 34C05 PDF BibTeX XML Cite \textit{L. A. Cherkas} and \textit{V. G. Romanovski}, Comput. Math. Appl. 52, No. 3--4, 363--374 (2006; Zbl 1147.34314) Full Text: DOI