Bujac, Cristina; Schlomiuk, Dana; Vulpe, Nicolae The bifurcation diagram of the configurations of invariant lines of total multiplicity exactly three in quadratic vector fields. (English) Zbl 1527.34068 Bul. Acad. Științe Repub. Mold., Mat. 2023, No. 1(101), 42-77 (2023). MSC: 34C23 34A34 PDFBibTeX XMLCite \textit{C. Bujac} et al., Bul. Acad. Științe Repub. Mold., Mat. 2023, No. 1(101), 42--77 (2023; Zbl 1527.34068) Full Text: DOI
Belfar, Ahlam; Benterki, Rebiha Qualitative dynamics of five quadratic polynomial differential systems exhibiting five classical cubic algebraic curves. (English) Zbl 1515.34036 Rend. Circ. Mat. Palermo (2) 72, No. 1, 393-420 (2023). Reviewer: Joan C. Artés (Barcelona) MSC: 34C05 34A05 PDFBibTeX XMLCite \textit{A. Belfar} and \textit{R. Benterki}, Rend. Circ. Mat. Palermo (2) 72, No. 1, 393--420 (2023; Zbl 1515.34036) Full Text: DOI
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
Oliveira, Regilene; Rezende, Alex C.; Schlomiuk, Dana; Vulpe, Nicolae Characterization and bifurcation diagram of the family of quadratic differential systems with an invariant ellipse in terms of invariant polynomials. (English) Zbl 1503.34080 Rev. Mat. Complut. 35, No. 2, 361-413 (2022). Reviewer: Joan C. Artés (Barcelona) MSC: 34C05 34C45 34C14 34C23 PDFBibTeX XMLCite \textit{R. Oliveira} et al., Rev. Mat. Complut. 35, No. 2, 361--413 (2022; Zbl 1503.34080) Full Text: DOI
Li, Tao; Llibre, Jaume Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems. (English) Zbl 1487.34001 Expo. Math. 39, No. 4, 540-565 (2021). Reviewer: Joan C. Artés (Barcelona) MSC: 34-02 34-00 34C05 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Llibre}, Expo. Math. 39, No. 4, 540--565 (2021; Zbl 1487.34001) Full Text: DOI
Schlomiuk, Dana (ed.) Working with Professor Nicolae Vulpe. (English) Zbl 07329809 Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 154-160 (2019). MSC: 00Bxx PDFBibTeX XMLCite \textit{D. Schlomiuk} (ed.), Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 154--160 (2019; Zbl 07329809) Full Text: Link
Bujac, Cristina The classification of a family of cubic differential systems in terms of configurations of invariant lines of the type \((3,3)\). (English) Zbl 1474.58013 Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 79-98 (2019). MSC: 58K45 34C05 34A34 PDFBibTeX XMLCite \textit{C. Bujac}, Bul. Acad. Științe Repub. Mold., Mat. 2019, No. 2(90), 79--98 (2019; Zbl 1474.58013) Full Text: Link
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; Zhang, Xiang Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. (English) Zbl 1393.37023 J. Differ. Equations 265, No. 8, 3650-3684 (2018). MSC: 37C10 58K45 34C37 37C29 37J45 70H05 34C05 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{X. Zhang}, J. Differ. Equations 265, No. 8, 3650--3684 (2018; Zbl 1393.37023) Full Text: DOI
Bujac, Cristina; Vulpe, Nicolae Cubic differential systems with invariant straight lines of total multiplicity eight possessing one infinite singularity. (English) Zbl 1386.58005 Qual. Theory Dyn. Syst. 16, No. 1, 1-30 (2017). MSC: 58D19 58D27 34C14 34C23 34C07 PDFBibTeX XMLCite \textit{C. Bujac} and \textit{N. Vulpe}, Qual. Theory Dyn. Syst. 16, No. 1, 1--30 (2017; Zbl 1386.58005) Full Text: DOI
Chiralt, Cristina; Ferragut, Antoni; Gasull, Armengol; Vindel, Pura Quantitative analysis of competition models. (English) Zbl 1376.34046 Nonlinear Anal., Real World Appl. 38, 327-347 (2017). MSC: 34C60 92D25 34D05 34C05 PDFBibTeX XMLCite \textit{C. Chiralt} et al., Nonlinear Anal., Real World Appl. 38, 327--347 (2017; Zbl 1376.34046) Full Text: DOI Link
Bujac, Cristina; Llibre, Jaume; Vulpe, Nicolae First integrals and phase portraits of planar polynomial differential cubic systems with the maximum number of invariant straight lines. (English) Zbl 1367.34030 Qual. Theory Dyn. Syst. 15, No. 2, 327-348 (2016). MSC: 34C05 34A05 34C45 PDFBibTeX XMLCite \textit{C. Bujac} et al., Qual. Theory Dyn. Syst. 15, No. 2, 327--348 (2016; Zbl 1367.34030) Full Text: DOI Link
Kong, Xinlei; Wu, Huibin; Mei, Fengxiang Variational discretization for the planar Lotka-Volterra equations in the Birkhoffian sense. (English) Zbl 1354.65142 Nonlinear Dyn. 84, No. 2, 733-742 (2016). MSC: 65K15 65L20 37N25 PDFBibTeX XMLCite \textit{X. Kong} et al., Nonlinear Dyn. 84, No. 2, 733--742 (2016; Zbl 1354.65142) Full Text: DOI
Diaconescu, Oxana Cerba; Schlomiuk, Dana; Vulpe, Nicolae Bifurcation diagrams and quotient topological spaces under the action of the affine group of a family of planar quadratic vector fields. (English) Zbl 1327.34066 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1550150, 24 p. (2015). MSC: 34C23 34C05 34C45 34C14 PDFBibTeX XMLCite \textit{O. C. Diaconescu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 11, Article ID 1550150, 24 p. (2015; Zbl 1327.34066) Full Text: DOI
Bujac, Cristina; Vulpe, Nicolae Cubic systems with invariant straight lines of total multiplicity eight and with three distinct infinite singularities. (English) Zbl 1319.34050 Qual. Theory Dyn. Syst. 14, No. 1, 109-137 (2015). MSC: 34C05 34C14 34C45 PDFBibTeX XMLCite \textit{C. Bujac} and \textit{N. Vulpe}, Qual. Theory Dyn. Syst. 14, No. 1, 109--137 (2015; Zbl 1319.34050) Full Text: DOI
Artés, J. C.; Llibre, J.; Schlomiuk, D.; Vulpe, N. From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields. (English) Zbl 1318.34045 Rocky Mt. J. Math. 45, No. 1, 29-113 (2015). MSC: 34C05 58K45 34C41 PDFBibTeX XMLCite \textit{J. C. Artés} et al., Rocky Mt. J. Math. 45, No. 1, 29--113 (2015; Zbl 1318.34045) Full Text: DOI Euclid
Bujac, Cristina; Vulpe, Nicolae Cubic differential systems with invariant straight lines of total multiplicity eight and four distinct infinite singularities. (English) Zbl 1312.34070 J. Math. Anal. Appl. 423, No. 2, 1025-1080 (2015). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C14 34C45 PDFBibTeX XMLCite \textit{C. Bujac} and \textit{N. Vulpe}, J. Math. Anal. Appl. 423, No. 2, 1025--1080 (2015; Zbl 1312.34070) Full Text: DOI
Artés, Joan C.; Llibre, Jaume; Vulpe, Nicolae Quadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\). (English) Zbl 1253.34036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5416-5447 (2012). MSC: 34C05 34C14 37C15 PDFBibTeX XMLCite \textit{J. C. Artés} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5416--5447 (2012; Zbl 1253.34036) Full Text: DOI
Schlomiuk, Dana; Vulpe, Nicolae Bifurcation diagrams and moduli spaces of planar quadratic vector fields with invariant lines of total multiplicity four and having exactly three real singularities at infinity. (English) Zbl 1221.34081 Qual. Theory Dyn. Syst. 9, No. 1-2, 251-300 (2010). Reviewer: Antonio Linero Bas (Murcia) MSC: 34C07 34C14 34C23 34C20 PDFBibTeX XMLCite \textit{D. Schlomiuk} and \textit{N. Vulpe}, Qual. Theory Dyn. Syst. 9, No. 1--2, 251--300 (2010; Zbl 1221.34081) Full Text: DOI