Romanovski, Valery G.; Shafer, Douglas S. Complete integrability and time-reversibility of some 3-dim systems. (English) Zbl 1334.34007 Appl. Math. Lett. 51, 27-33 (2016). Reviewer: Jaume Giné (Lleida) MSC: 34A05 34C20 34C05 37J35 34C14 PDFBibTeX XMLCite \textit{V. G. Romanovski} and \textit{D. S. Shafer}, Appl. Math. Lett. 51, 27--33 (2016; Zbl 1334.34007) 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
Chen, Xingwu; Giné, Jaume; Romanovski, Valery G.; Shafer, Douglas S. The \({1:-q}\) resonant center problem for certain cubic Lotka-Volterra systems. (English) Zbl 1365.34006 Appl. Math. Comput. 218, No. 23, 11620-11633 (2012). MSC: 34A05 34C05 34C25 34C07 PDFBibTeX XMLCite \textit{X. Chen} et al., Appl. Math. Comput. 218, No. 23, 11620--11633 (2012; Zbl 1365.34006) Full Text: DOI
Shafer, Douglas S. Symbolic computation and the cyclicity problem for singularities. (English) Zbl 1259.34002 J. Symb. Comput. 47, No. 10, 1140-1153 (2012). Reviewer: Valery Romanovski (Maribor) MSC: 34-01 34C07 34-04 13P25 68W30 34C05 PDFBibTeX XMLCite \textit{D. S. Shafer}, J. Symb. Comput. 47, No. 10, 1140--1153 (2012; Zbl 1259.34002) Full Text: DOI
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 PDFBibTeX XMLCite \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
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
Hu, Zhaoping; Romanovski, Valery G.; Shafer, Douglas S. \(1: - 3\) resonant centers on \(\mathbb{C}^2\) with homogeneous cubic nonlinearities. (English) Zbl 1165.34334 Comput. Math. Appl. 56, No. 8, 1927-1940 (2008). MSC: 34C05 34C20 PDFBibTeX XMLCite \textit{Z. Hu} et al., Comput. Math. Appl. 56, No. 8, 1927--1940 (2008; Zbl 1165.34334) Full Text: DOI