Bujac, Cristina; Schlomiuk, Dana; Vulpe, Nicolae On families \(\boldsymbol{QSL}_{\geq 2}\) of quadratic systems with invariant lines of total multiplicity at least 2. (English) Zbl 1511.34058 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 133, 68 p. (2022). Reviewer: Joan C. Artés (Barcelona) MSC: 34C45 34C14 34C05 PDFBibTeX XMLCite \textit{C. Bujac} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 133, 68 p. (2022; Zbl 1511.34058) Full Text: DOI
Mota, Marcos Coutinho; Rezende, Alex Carlucci; Schlomiuk, Dana; Vulpe, Nicolae Geometric analysis of quadratic differential systems with invariant ellipses. (English) Zbl 1502.34019 Topol. Methods Nonlinear Anal. 59, No. 2A, 623-685 (2022). MSC: 34A26 34C05 34C14 34C45 34C23 PDFBibTeX XMLCite \textit{M. C. Mota} et al., Topol. Methods Nonlinear Anal. 59, No. 2A, 623--685 (2022; Zbl 1502.34019) Full Text: DOI
Schlomiuk, Dana; Vulpe, Nicolae The topological classification of a family of quadratic differential systems in terms of affine invariant polynomials. (English) Zbl 1474.58014 Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 41-55 (2019). MSC: 58K45 34C05 34C23 34A34 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{N. Vulpe}, Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 41--55 (2019; Zbl 1474.58014) Full Text: Link
Schlomiuk, Dana; Vulpe, Nicolae Integrals and phase portraits of planar quadratic differential systems with invariant lines of at least five total multiplicity. (English) Zbl 1175.34037 Rocky Mt. J. Math. 38, No. 6, 2015-2075 (2008). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34A05 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{N. Vulpe}, Rocky Mt. J. Math. 38, No. 6, 2015--2075 (2008; Zbl 1175.34037) Full Text: DOI
Schlomiuk, Dana; Vulpe, Nicolae The full study of planar quadratic differential systems possessing a line of singularities at infinity. (English) Zbl 1168.34024 J. Dyn. Differ. Equations 20, No. 4, 737-775 (2008). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C20 34C23 37C10 34C30 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{N. Vulpe}, J. Dyn. Differ. Equations 20, No. 4, 737--775 (2008; Zbl 1168.34024) Full Text: DOI
Schlomiuk, Dana; Vulpe, Nicolae Planar quadratic differential systems with invariant straight lines of total multiplicity four. (English) Zbl 1136.34037 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 681-715 (2008). MSC: 34C05 34C14 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{N. Vulpe}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 681--715 (2008; Zbl 1136.34037) Full Text: DOI arXiv
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana The geometry of quadratic differential systems with a weak focus of second order. (English) Zbl 1124.34014 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 11, 3127-3194 (2006). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 37G10 37G15 34C23 PDFBibTeX XMLCite \textit{J. C. Artés} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 11, 3127--3194 (2006; Zbl 1124.34014) Full Text: DOI
Schlomiuk, Dana; Vulpe, Nicolae Planar quadratic vector fields with invariant lines of total multiplicity at least five. (English) Zbl 1101.34016 Qual. Theory Dyn. Syst. 5, No. 1, 135-194 (2004). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C14 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{N. Vulpe}, Qual. Theory Dyn. Syst. 5, No. 1, 135--194 (2004; Zbl 1101.34016) Full Text: DOI arXiv
Schlomiuk, Dana; Pal, Janos On the geometry in the neighbourhood of infinity of quadratic differential systems with a weak focus. (English) Zbl 0989.34018 Qual. Theory Dyn. Syst. 2, No. 1, 1-43 (2001). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C05 37C10 58K45 14C17 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{J. Pal}, Qual. Theory Dyn. Syst. 2, No. 1, 1--43 (2001; Zbl 0989.34018) Full Text: DOI
Schlomiuk, Dana On the global analysis of planar quadratic vector fields. (English) Zbl 0910.34044 Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1429-1437 (1997). Reviewer: Huaiping Zhu (Montreal) MSC: 34C23 34C05 34C20 37G99 PDFBibTeX XMLCite \textit{D. Schlomiuk}, Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1429--1437 (1997; Zbl 0910.34044) Full Text: DOI
Pal, Janos; Schlomiuk, Dana Summing up the dynamics of quadratic Hamiltonian systems with a center. (English) Zbl 0879.34038 Can. J. Math. 49, No. 3, 583-599 (1997). Reviewer: D.Bobrowski (Poznań) MSC: 34C05 37J99 34C23 PDFBibTeX XMLCite \textit{J. Pal} and \textit{D. Schlomiuk}, Can. J. Math. 49, No. 3, 583--599 (1997; Zbl 0879.34038) Full Text: DOI
Schlomiuk, Dana Algebraic particular integrals, integrability and the problem of the center. (English) Zbl 0777.58028 Trans. Am. Math. Soc. 338, No. 2, 799-841 (1993). MSC: 37G99 34C05 PDFBibTeX XMLCite \textit{D. Schlomiuk}, Trans. Am. Math. Soc. 338, No. 2, 799--841 (1993; Zbl 0777.58028) Full Text: DOI