Giné, Jaume; Grau, Maite; Llibre, Jaume Criteria on the existence of limit cycles in planar polynomial differential systems. (English) Zbl 1517.34039 Expo. Math. 40, No. 4, 1049-1083 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C20 PDFBibTeX XMLCite \textit{J. Giné} et al., Expo. Math. 40, No. 4, 1049--1083 (2022; Zbl 1517.34039) Full Text: DOI
Giné, Jaume; Grau, Maite; Llibre, Jaume Limit cycles bifurcating from planar polynomial quasi-homogeneous centers. (English) Zbl 1332.34066 J. Differ. Equations 259, No. 12, 7135-7160 (2015). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C20 34C23 34C29 PDFBibTeX XMLCite \textit{J. Giné} et al., J. Differ. Equations 259, No. 12, 7135--7160 (2015; Zbl 1332.34066) Full Text: DOI
Giné, Jaume Dulac functions of planar vector fields. (English) Zbl 1326.34056 Qual. Theory Dyn. Syst. 13, No. 1, 121-128 (2014). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{J. Giné}, Qual. Theory Dyn. Syst. 13, No. 1, 121--128 (2014; Zbl 1326.34056) Full Text: DOI
García, Belén; Giné, Jaume; Grau, Maite; Pérez del Río, Jesús S. On the multiplicity of algebraic limit cycles. (English) Zbl 1264.34057 J. Dyn. Differ. Equations 24, No. 3, 539-560 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34C05 PDFBibTeX XMLCite \textit{B. García} et al., J. Dyn. Differ. Equations 24, No. 3, 539--560 (2012; Zbl 1264.34057) Full Text: DOI
Giné, Jaume Higher order limit cycle bifurcations from non-degenerate centers. (English) Zbl 1255.34041 Appl. Math. Comput. 218, No. 17, 8853-8860 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34C23 34C05 34C25 PDFBibTeX XMLCite \textit{J. Giné}, Appl. Math. Comput. 218, No. 17, 8853--8860 (2012; Zbl 1255.34041) Full Text: DOI
Buică, Adriana; Giné, Jaume; Llibre, Jaume Bifurcation of limit cycles from a polynomial degenerate center. (English) Zbl 1232.34049 Adv. Nonlinear Stud. 10, No. 3, 597-609 (2010). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C25 34C23 PDFBibTeX XMLCite \textit{A. Buică} et al., Adv. Nonlinear Stud. 10, No. 3, 597--609 (2010; Zbl 1232.34049)
Giné, Jaume; Grau, Maite; de Prada, Paz On the multiplicity of the circumference in planar polynomial vector fields. (English) Zbl 1158.34019 Fixed Point Theory 9, No. 1, 105-137 (2008). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C07 34C25 37G15 37C27 PDFBibTeX XMLCite \textit{J. Giné} et al., Fixed Point Theory 9, No. 1, 105--137 (2008; Zbl 1158.34019)
Giné, Jaume On some open problems in planar differential systems and Hilbert’s 16th problem. (English) Zbl 1149.34023 Chaos Solitons Fractals 31, No. 5, 1118-1134 (2007). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 37C10 PDFBibTeX XMLCite \textit{J. Giné}, Chaos Solitons Fractals 31, No. 5, 1118--1134 (2007; Zbl 1149.34023) Full Text: DOI
Gasull, Armengol; Giné, Jaume; Grau, Maite Multiplicity of limit cycles and analytic \(m\)-solutions for planar differential systems. (English) Zbl 1345.34037 J. Differ. Equations 240, No. 2, 375-398 (2007). MSC: 34C05 34C07 34C23 37G15 PDFBibTeX XMLCite \textit{A. Gasull} et al., J. Differ. Equations 240, No. 2, 375--398 (2007; Zbl 1345.34037) Full Text: DOI
Giné, Jaume On the number of algebraically independent Poincaré-Liapunov constants. (English) Zbl 1124.34018 Appl. Math. Comput. 188, No. 2, 1870-1877 (2007). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{J. Giné}, Appl. Math. Comput. 188, No. 2, 1870--1877 (2007; Zbl 1124.34018) Full Text: DOI
Giné, Jaume; Llibre, Jaume Limit cycles of cubic polynomial vector fields via the averaging theory. (English) Zbl 1127.34025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 8, 1707-1721 (2007). Reviewer: Maite Grau (Lleida) MSC: 34C29 34C23 34C05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{J. Llibre}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 8, 1707--1721 (2007; Zbl 1127.34025) Full Text: DOI
Giné, J.; Llibre, J. Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems. (English) Zbl 1157.34022 Comput. Math. Appl. 51, No. 9-10, 1453-1462 (2006). Reviewer: Jinzhi Lei (Beijing) MSC: 34C05 34C07 34A05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{J. Llibre}, Comput. Math. Appl. 51, No. 9--10, 1453--1462 (2006; Zbl 1157.34022) Full Text: DOI
Giné, Jaume; Grau, Maite Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations. (English) Zbl 1114.34029 Nonlinearity 19, No. 8, 1939-1950 (2006). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{M. Grau}, Nonlinearity 19, No. 8, 1939--1950 (2006; Zbl 1114.34029) Full Text: DOI Link
Giné, Jaume; Grau, Maite A note on: “Relaxation oscillators with exact limit cycles”. (English) Zbl 1276.34023 J. Math. Anal. Appl. 324, No. 1, 739-745 (2006). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{M. Grau}, J. Math. Anal. Appl. 324, No. 1, 739--745 (2006; Zbl 1276.34023) Full Text: DOI arXiv
Giné, Jaume; Llibre, Jaume A family of isochronous foci with Darboux first integral. (English) Zbl 1116.34026 Pac. J. Math. 218, No. 2, 343-355 (2005). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C10 34C25 PDFBibTeX XMLCite \textit{J. Giné} and \textit{J. Llibre}, Pac. J. Math. 218, No. 2, 343--355 (2005; Zbl 1116.34026) Full Text: DOI
Giné, Jaume; Llibre, Jaume Darboux integrability and limit cycles for a class of polynomial differential systems. (English) Zbl 1106.34018 Wang, Dongming (ed.) et al., Differential equations with symbolic computation. Basel: Birkhäuser (ISBN 3-7643-7368-7/hbk). Trends in Mathematics, 55-65 (2005). Reviewer: Armengol Gasull (Barcelona) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{J. Llibre}, in: Differential equations with symbolic computation. Basel: Birkhäuser. 55--65 (2005; Zbl 1106.34018)
Giné, Jaume; Llibre, Jaume Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities. (English) Zbl 1069.34047 J. Differ. Equations 208, No. 2, 531-545 (2005). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34A05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{J. Llibre}, J. Differ. Equations 208, No. 2, 531--545 (2005; Zbl 1069.34047) Full Text: DOI
Chavarriga, Javier; Giacomini, H.; Giné, Jaume The null divergence factor. (English) Zbl 0880.34029 Publ. Mat., Barc. 41, No. 1, 41-56 (1997). Reviewer: G.Osipenko (St.Peterburg) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., Publ. Mat., Barc. 41, No. 1, 41--56 (1997; Zbl 0880.34029) Full Text: DOI EuDML