Arcet, Barbara; Romanovski, Valery G. Integrability and linearizability of symmetric three-dimensional quadratic systems. (English) Zbl 1512.34025 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 361-378 (2023). MSC: 34A34 34C20 34C45 PDFBibTeX XMLCite \textit{B. Arcet} and \textit{V. G. Romanovski}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 361--378 (2023; Zbl 1512.34025) Full Text: DOI
Han, Maoan; Petek, Tatjana; Romanovski, Valery G. Reversibility in polynomial systems of ODE’s. (English) Zbl 1427.34026 Appl. Math. Comput. 338, 55-71 (2018). MSC: 34A34 13P10 34C14 34C05 PDFBibTeX XMLCite \textit{M. Han} et al., Appl. Math. Comput. 338, 55--71 (2018; Zbl 1427.34026) Full Text: DOI
Giné, Jaume; Llibre, Jaume; Valls, Claudia Simultaneity of centres in \(\mathbb{Z}_q\)-equivariant systems. (English) Zbl 1402.34035 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2213, Article ID 20170811, 11 p. (2018). MSC: 34C07 PDFBibTeX XMLCite \textit{J. Giné} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2213, Article ID 20170811, 11 p. (2018; Zbl 1402.34035) Full Text: DOI
Gine, Jaume; Llibre, Jaume; Valls, Claudia Centers for the Kukles homogeneous systems with even degree. (English) Zbl 1456.34027 J. Appl. Anal. Comput. 7, No. 4, 1534-1548 (2017). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Gine} et al., J. Appl. Anal. Comput. 7, No. 4, 1534--1548 (2017; Zbl 1456.34027) Full Text: DOI
Ferčec, Brigita; Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. Bifurcation of critical periods of polynomial systems. (English) Zbl 1337.34032 J. Differ. Equations 259, No. 8, 3825-3853 (2015). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C05 37C10 34C23 PDFBibTeX XMLCite \textit{B. Ferčec} et al., J. Differ. Equations 259, No. 8, 3825--3853 (2015; Zbl 1337.34032) Full Text: DOI
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
Romanovski, Valery G.; Xia, Yonghui; Zhang, Xiang Varieties of local integrability of analytic differential systems and their applications. (English) Zbl 1305.34022 J. Differ. Equations 257, No. 9, 3079-3101 (2014). Reviewer: Maite Grau (Lleida) MSC: 34A25 34C14 34C20 37C15 34A05 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., J. Differ. Equations 257, No. 9, 3079--3101 (2014; Zbl 1305.34022) Full Text: DOI
Ferčec, Brigita; Giné, Jaume; Mencinger, Matej; Oliveira, Regilene The center problem for a \({1:-4}\) resonant quadratic system. (English) Zbl 1301.34043 J. Math. Anal. Appl. 420, No. 2, 1568-1591 (2014). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{B. Ferčec} et al., J. Math. Anal. Appl. 420, No. 2, 1568--1591 (2014; Zbl 1301.34043) 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 PDFBibTeX XMLCite \textit{X. Chen} et al., Bull. Sci. Math. 138, No. 1, 110--123 (2014; Zbl 1291.34061) Full Text: DOI
Ferčec, Brigita; Giné, Jaume; Liu, Yirong; Romanovski, Valery G. Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities. (English) Zbl 1280.34034 Acta Appl. Math. 124, No. 1, 107-122 (2013). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34A05 34C20 PDFBibTeX XMLCite \textit{B. Ferčec} et al., Acta Appl. Math. 124, No. 1, 107--122 (2013; Zbl 1280.34034) Full Text: DOI
Aziz, Waleed; Christopher, Colin Local integrability and linearizability of three-dimensional Lotka-Volterra systems. (English) Zbl 1311.34090 Appl. Math. Comput. 219, No. 8, 4067-4081 (2012). MSC: 34C20 92D25 PDFBibTeX XMLCite \textit{W. Aziz} and \textit{C. Christopher}, Appl. Math. Comput. 219, No. 8, 4067--4081 (2012; Zbl 1311.34090) Full Text: DOI arXiv
Edneral, V. F.; Romanovski, V. G. Calculation of first integrals of a two-dimensional ODE system near a degenerate stationary point by computer algebra tools. (English. Russian original) Zbl 1248.65072 Program. Comput. Softw. 37, No. 2, 99-103 (2011); translation from Programmirovanie 37, No. 2 (2011). MSC: 65L05 34A34 65P10 37J35 37M15 68W30 PDFBibTeX XMLCite \textit{V. F. Edneral} and \textit{V. G. Romanovski}, Program. Comput. Softw. 37, No. 2, 99--103 (2011; Zbl 1248.65072); translation from Programmirovanie 37, No. 2 (2011) Full Text: DOI
Giné, Jaume; Kadyrsizova, Zhibek; Liu, Yirong; Romanovski, Valery G. Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities. (English) Zbl 1217.34058 Comput. Math. Appl. 61, No. 4, 1190-1201 (2011). MSC: 34C20 34C05 37G05 PDFBibTeX XMLCite \textit{J. Giné} et al., Comput. Math. Appl. 61, No. 4, 1190--1201 (2011; Zbl 1217.34058) Full Text: DOI
Chen, Xingwu; Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian Linearizability conditions of a time-reversible quartic-like system. (English) Zbl 1226.34041 J. Math. Anal. Appl. 383, No. 1, 179-189 (2011). Reviewer: Josef Hainzl (Freiburg) MSC: 34C20 34C05 34C14 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Math. Anal. Appl. 383, No. 1, 179--189 (2011; Zbl 1226.34041) Full Text: DOI
Giné, Jaume; Romanovski, Valery G. Integrability conditions for Lotka-Volterra planar complex quintic systems. (English) Zbl 1194.34003 Nonlinear Anal., Real World Appl. 11, No. 3, 2100-2105 (2010). MSC: 34A05 34C05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{V. G. Romanovski}, Nonlinear Anal., Real World Appl. 11, No. 3, 2100--2105 (2010; Zbl 1194.34003) Full Text: DOI
Levandovskyy, Viktor; Romanovski, Valery G.; Shafer, Douglas S. The cyclicity of a cubic system with nonradical Bautin ideal. (English) Zbl 1163.34019 J. Differ. Equations 246, No. 3, 1274-1287 (2009). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., J. Differ. Equations 246, No. 3, 1274--1287 (2009; Zbl 1163.34019) Full Text: DOI