Giné, Jaume; Llibre, Jaume Criteria for the nonexistence of periodic orbits in planar differential systems. (English) Zbl 07766583 Bul. Acad. Științe Repub. Mold., Mat. 2023, No. 1(101), 3-7 (2023). MSC: 34C05 34D30 PDFBibTeX XMLCite \textit{J. Giné} and \textit{J. Llibre}, Bul. Acad. Științe Repub. Mold., Mat. 2023, No. 1(101), 3--7 (2023; Zbl 07766583) Full Text: DOI
Llibre, Jaume; Valls, Claudia Dynamics of a class of \(3\)-dimensional Lotka-Volterra systems. (English) Zbl 1527.34080 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 4, 303-307 (2023). Reviewer: Eduard Musafirov (Grodno) MSC: 34C60 34A05 34C05 34C25 92C45 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 4, 303--307 (2023; Zbl 1527.34080) Full Text: Link Link
Llibre, Jaume Dynamics of the Painlevé-Ince equation. (English) Zbl 1510.34050 Result. Math. 78, No. 1, Paper No. 11, 7 p. (2023). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34B30 PDFBibTeX XMLCite \textit{J. Llibre}, Result. Math. 78, No. 1, Paper No. 11, 7 p. (2023; Zbl 1510.34050) Full Text: DOI
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
Llibre, Jaume; Nabavi, Arefeh Phase portraits of the Selkov model in the Poincaré disc. (English) Zbl 1510.34099 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7607-7623 (2022). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 92C45 34C05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{A. Nabavi}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7607--7623 (2022; Zbl 1510.34099) Full Text: DOI
Llibre, Jaume; Valls, Claudia Phase portraits of the Leslie-Gower system. (English) Zbl 1513.34184 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1734-1742 (2022). MSC: 34C60 34C05 92D25 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 1734--1742 (2022; Zbl 1513.34184) Full Text: DOI
Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria Global phase portraits of a predator-prey system. (English) Zbl 1499.34270 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 16, 13 p. (2022). MSC: 34C60 92D25 34C05 PDFBibTeX XMLCite \textit{É. Diz-Pita} et al., Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 16, 13 p. (2022; Zbl 1499.34270) Full Text: DOI
Llibre, Jaume; Mousavi, Marzieh Phase portraits of the Higgins-Selkov system. (English) Zbl 1492.34056 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 245-256 (2022). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 92C45 34C05 34C07 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{M. Mousavi}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 245--256 (2022; Zbl 1492.34056) Full Text: DOI
Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity. (English) Zbl 1482.34122 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106038, 16 p. (2022). MSC: 34C60 92D25 34C05 PDFBibTeX XMLCite \textit{É. Diz-Pita} et al., Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106038, 16 p. (2022; Zbl 1482.34122) Full Text: DOI
Chen, Hebai; Llibre, Jaume; Tang, Yilei The limit cycles of the Higgins-Selkov systems. (English) Zbl 1486.34095 J. Nonlinear Sci. 31, No. 5, Paper No. 85, 25 p. (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 34C05 34C07 34C23 92C45 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 85, 25 p. (2021; Zbl 1486.34095) Full Text: DOI
Güngör, Faruk; Llibre, Jaume; Pantazi, Chara Darboux integrability and dynamics of the Basener-Ross population model. (English) Zbl 1467.34048 Rend. Circ. Mat. Palermo (2) 70, No. 1, 427-439 (2021). MSC: 34C60 92D25 34A05 34C05 PDFBibTeX XMLCite \textit{F. Güngör} et al., Rend. Circ. Mat. Palermo (2) 70, No. 1, 427--439 (2021; Zbl 1467.34048) Full Text: DOI arXiv
Chen, Ting; Li, Shimin; Llibre, Jaume Phase portraits and bifurcation diagram of the Gray-Scott model. (English) Zbl 1462.34075 J. Math. Anal. Appl. 496, No. 2, Article ID 124840, 28 p. (2021). MSC: 34C60 92C45 34C05 34C23 PDFBibTeX XMLCite \textit{T. Chen} et al., J. Math. Anal. Appl. 496, No. 2, Article ID 124840, 28 p. (2021; Zbl 1462.34075) Full Text: DOI
Llibre, Jaume; Martínez, Y. Paulina Dynamics of a competitive Lotka-Volterra systems in \(\mathbb{R}^3\). (English) Zbl 1467.34050 Acta Appl. Math. 170, 569-577 (2020). MSC: 34C60 92D25 34C05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{Y. P. Martínez}, Acta Appl. Math. 170, 569--577 (2020; Zbl 1467.34050) Full Text: DOI
Llibre, J.; Lopes, Bruno Domeniciano; de Moraes, J. R. Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities. (English) Zbl 1454.34056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050158, 7 p. (2020). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C29 PDFBibTeX XMLCite \textit{J. Llibre} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 11, Article ID 2050158, 7 p. (2020; Zbl 1454.34056) Full Text: DOI
Dias, Fabio Scalco; Llibre, Jaume; Valls, Claudia Global dynamics of a virus model with invariant algebraic surfaces. (English) Zbl 1447.34046 Rend. Circ. Mat. Palermo (2) 69, No. 2, 535-546 (2020). MSC: 34C60 92C60 34C05 34C45 PDFBibTeX XMLCite \textit{F. S. Dias} et al., Rend. Circ. Mat. Palermo (2) 69, No. 2, 535--546 (2020; Zbl 1447.34046) Full Text: DOI Link
Llibre, Jaume; Ramírez, Rafael; Sadovskaia, Natalia Differential equations with a given set of solutions. (English) Zbl 1433.34029 Appl. Math. Comput. 365, Article ID 124659, 20 p. (2020). MSC: 34A55 34C07 34A05 PDFBibTeX XMLCite \textit{J. Llibre} et al., Appl. Math. Comput. 365, Article ID 124659, 20 p. (2020; Zbl 1433.34029) Full Text: DOI Link
Ginoux, Jean-Marc; Llibre, Jaume; Tchizawa, Kiyoyuki Canards existence in the Hindmarsh-Rose model. (English) Zbl 1447.34048 Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 169-175 (2019). MSC: 34C60 92C20 34E20 34E17 34C05 PDFBibTeX XMLCite \textit{J.-M. Ginoux} et al., Trends Math., Res. Perspect. CRM Barc. 11, 169--175 (2019; Zbl 1447.34048) Full Text: DOI
Cândido, M. R.; Llibre, J.; Valls, C. New symmetric periodic solutions for the Maxwell-Bloch differential system. (English) Zbl 1460.34052 Math. Phys. Anal. Geom. 22, No. 2, Paper No. 16, 13 p. (2019). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 78A60 34C05 34C23 34C29 PDFBibTeX XMLCite \textit{M. R. Cândido} et al., Math. Phys. Anal. Geom. 22, No. 2, Paper No. 16, 13 p. (2019; Zbl 1460.34052) Full Text: DOI Link
Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia Invariant algebraic surfaces and Hopf bifurcation of a finance model. (English) Zbl 1404.34056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850150, 10 p. (2018). MSC: 34C60 91G99 34C23 34C05 34C45 PDFBibTeX XMLCite \textit{M. R. Cândido} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 12, Article ID 1850150, 10 p. (2018; Zbl 1404.34056) Full Text: DOI
Llibre, Jaume; Valls, Clàudia Polynomial solutions of equivariant polynomial Abel differential equations. (English) Zbl 1397.34006 Adv. Nonlinear Stud. 18, No. 3, 537-542 (2018). MSC: 34A05 34C05 34A34 34C14 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Adv. Nonlinear Stud. 18, No. 3, 537--542 (2018; Zbl 1397.34006) Full Text: DOI Link
Llibre, Jaume; Yu, Jiang No periodic orbits in the Bianchi models B. (English) Zbl 1410.34138 J. Geom. Phys. 128, 32-37 (2018). Reviewer: Haiyan Wang (Phoenix) MSC: 34C60 34C05 34C25 83F05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{J. Yu}, J. Geom. Phys. 128, 32--37 (2018; Zbl 1410.34138) Full Text: DOI Link
Euzébio, Rodrigo D.; Llibre, Jaume Zero-Hopf bifurcation in a Chua system. (English) Zbl 1373.34057 Nonlinear Anal., Real World Appl. 37, 31-40 (2017). MSC: 34C23 34C60 34C05 34C29 PDFBibTeX XMLCite \textit{R. D. Euzébio} and \textit{J. Llibre}, Nonlinear Anal., Real World Appl. 37, 31--40 (2017; Zbl 1373.34057) Full Text: DOI arXiv Link
Giné, Jaume; Llibre, Jaume On the integrability of Liénard systems with a strong saddle. (English) Zbl 1373.34024 Appl. Math. Lett. 70, 39-45 (2017). MSC: 34A34 34C05 34A05 PDFBibTeX XMLCite \textit{J. Giné} and \textit{J. Llibre}, Appl. Math. Lett. 70, 39--45 (2017; Zbl 1373.34024) Full Text: DOI Link
Carvalho, Tiago; Llibre, Jaume On the periodic solutions of the five-dimensional Lorenz equation modeling coupled rosby waves and gravity waves. (English) Zbl 1370.34083 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 6, Article ID 1750090, 6 p. (2017). MSC: 34C60 34A05 34C05 34C29 PDFBibTeX XMLCite \textit{T. Carvalho} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 6, Article ID 1750090, 6 p. (2017; Zbl 1370.34083) Full Text: DOI
Llibre, Jaume; Vidal, Claudio Hopf periodic orbits for a ratio-dependent predator-prey model with stage structure. (English) Zbl 1352.34074 Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1859-1867 (2016). MSC: 34C60 92D25 34C23 34D20 34C05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Vidal}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1859--1867 (2016; Zbl 1352.34074) Full Text: DOI
Buzzi, Claudio A.; Llibre, Jaume No periodic orbits for the type A Bianchi’s systems. (English) Zbl 1421.83145 J. Nonlinear Math. Phys. 22, No. 2, 170-179 (2015). MSC: 83F05 34C05 34C25 34C60 PDFBibTeX XMLCite \textit{C. A. Buzzi} and \textit{J. Llibre}, J. Nonlinear Math. Phys. 22, No. 2, 170--179 (2015; Zbl 1421.83145) Full Text: DOI Link
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
Buzzi, Claudio A.; Llibre, Jaume Hopf bifurcation in the full repressilator equations. (English) Zbl 1322.34060 Math. Methods Appl. Sci. 38, No. 7, 1428-1436 (2015). MSC: 34C60 34C07 37G10 92C37 34C23 34C05 PDFBibTeX XMLCite \textit{C. A. Buzzi} and \textit{J. Llibre}, Math. Methods Appl. Sci. 38, No. 7, 1428--1436 (2015; Zbl 1322.34060) Full Text: DOI Link
Llibre, Jaume; Valls, Clàudia First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems. (English) Zbl 1321.34002 Bull. Sci. Math. 139, No. 5, 473-494 (2015). MSC: 34A05 34C05 34C14 92D25 34C60 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Bull. Sci. Math. 139, No. 5, 473--494 (2015; Zbl 1321.34002) Full Text: DOI
Llibre, Jaume; Teixeira, Marco Antonio Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations. (English) Zbl 1323.34042 Z. Angew. Math. Phys. 66, No. 1, 51-66 (2015). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C29 34A36 34C25 47H11 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{M. A. Teixeira}, Z. Angew. Math. Phys. 66, No. 1, 51--66 (2015; Zbl 1323.34042) Full Text: DOI
Cao, Jinlong; Llibre, Jaume; Zhang, Xiang Darboux integrability and algebraic limit cycles for a class of polynomial differential systems. (English) Zbl 1308.34040 Sci. China, Math. 57, No. 4, 775-794 (2014). MSC: 34C07 34A34 34C05 34A05 PDFBibTeX XMLCite \textit{J. Cao} et al., Sci. China, Math. 57, No. 4, 775--794 (2014; Zbl 1308.34040) Full Text: DOI Link
Llibre, Jaume; Teruel, Antonio E. Introduction to the qualitative theory of differential systems. Planar, symmetric and continuous piecewise linear systems. (English) Zbl 1286.34001 Birkhäuser Advanced Texts. Basler Lehrbücher. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0656-5/hbk; 978-3-0348-0657-2/ebook). xiii, 289 p. (2014). Reviewer: Valery Romanovski (Maribor) MSC: 34-01 34-02 34C05 34C23 34C60 37C10 37G10 37G15 93C15 34H05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{A. E. Teruel}, Introduction to the qualitative theory of differential systems. Planar, symmetric and continuous piecewise linear systems. Basel: Birkhäuser/Springer (2014; Zbl 1286.34001) Full Text: DOI
Llibre, Jaume; Ordóñez, Manuel; Ponce, Enrique On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry. (English) Zbl 1293.34047 Nonlinear Anal., Real World Appl. 14, No. 5, 2002-2012 (2013). MSC: 34C05 PDFBibTeX XMLCite \textit{J. Llibre} et al., Nonlinear Anal., Real World Appl. 14, No. 5, 2002--2012 (2013; Zbl 1293.34047) Full Text: DOI Link
Falconi, Manuel; Gonzáles-Olivares, Eduardo; Llibre, Jaume Zero-Hopf bifurcation in a predator-prey model. (English) Zbl 1277.34043 Sci. Math. Jpn. 76, No. 1, 119-127 (2013). Reviewer: Josef Hainzl (Freiburg) MSC: 34C23 92D25 34C05 34C60 PDFBibTeX XMLCite \textit{M. Falconi} et al., Sci. Math. Jpn. 76, No. 1, 119--127 (2013; Zbl 1277.34043) Full Text: Link
Llibre, Jaume; Roberto, Luci On the periodic orbits of the third-order differential equation \(x^{\prime\prime\prime}-\mu x^{\prime\prime}+x^{\prime }-\mu x=\varepsilon F(x, x^{\prime },x^{\prime\prime})\). (English) Zbl 1263.34056 Appl. Math. Lett. 26, No. 4, 425-430 (2013). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C25 34C05 34C29 34C23 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{L. Roberto}, Appl. Math. Lett. 26, No. 4, 425--430 (2013; Zbl 1263.34056) Full Text: DOI
Llibre, Jaume; Messias, Marcelo; Ricardo da Silva, Paulo Global dynamics in the Poincaré ball of the Chen system having invariant algebraic surfaces. (English) Zbl 1270.34130 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 6, Article ID 1250154, 17 p. (2012). MSC: 34C60 34C37 34C45 34C05 PDFBibTeX XMLCite \textit{J. Llibre} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 6, Article ID 1250154, 17 p. (2012; Zbl 1270.34130) Full Text: DOI
Llibre, Jaume; Makhlouf, Amar On the limit cycles for a class of fourth-order differential equations. (English) Zbl 1243.37018 J. Phys. A, Math. Theor. 45, No. 5, Article ID 055214, 16 p. (2012). Reviewer: Valery A. Gaiko (Minsk) MSC: 37C10 34C25 34C05 37G15 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{A. Makhlouf}, J. Phys. A, Math. Theor. 45, No. 5, Article ID 055214, 16 p. (2012; Zbl 1243.37018) Full Text: DOI Link
Llibre, Jaume; Perez-Chavela, Ernesto Limit cycles for a class of second order differential equations. (English) Zbl 1242.34052 Phys. Lett., A 375, No. 7, 1080-1083 (2011). MSC: 34C05 34D10 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{E. Perez-Chavela}, Phys. Lett., A 375, No. 7, 1080--1083 (2011; Zbl 1242.34052) Full Text: DOI Link
Llibre, Jaume; Zhang, Xiang On the Hopf-zero bifurcation of the Michelson system. (English) Zbl 1220.34070 Nonlinear Anal., Real World Appl. 12, No. 3, 1650-1653 (2011). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 34C23 34C29 34C05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{X. Zhang}, Nonlinear Anal., Real World Appl. 12, No. 3, 1650--1653 (2011; Zbl 1220.34070) Full Text: DOI Link
Llibre, Jaume; Valls, Clàudia Centers and isochronous centers for two classes of generalized seventh and ninth systems. (English) Zbl 1222.34032 J. Dyn. Differ. Equations 22, No. 4, 657-675 (2010). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C25 37C27 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, J. Dyn. Differ. Equations 22, No. 4, 657--675 (2010; Zbl 1222.34032) Full Text: DOI Link
Llibre, Jaume; Valls, Clàudia Liouvillian integrability of the FitzHugh-Nagumo systems. (English) Zbl 1207.34006 J. Geom. Phys. 60, No. 12, 1974-1983 (2010). MSC: 34A05 34C05 34A34 34C14 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, J. Geom. Phys. 60, No. 12, 1974--1983 (2010; Zbl 1207.34006) Full Text: DOI
Llibre, Jaume; Valls, Clàudia On the integrability of a tritrophic food chain model. (English) Zbl 1206.34006 Adv. Nonlinear Stud. 10, No. 2, 331-355 (2010). Reviewer: Alexey Remizov (Trieste) MSC: 34A05 34C05 34C14 92D40 34C60 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Adv. Nonlinear Stud. 10, No. 2, 331--355 (2010; Zbl 1206.34006) Full Text: DOI Link
Llibre, Jaume; Valls, Clàudia Global analytic first integrals for the simplified multistrain/two-stream model for tuberculosis and dengue fever. (English) Zbl 1191.34064 J. Nonlinear Math. Phys. 16, No. 4, 505-516 (2009). MSC: 34C60 92C60 34A05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, J. Nonlinear Math. Phys. 16, No. 4, 505--516 (2009; Zbl 1191.34064) Full Text: DOI
Llibre, Jaume; Valls, Clàudia Analytic first integrals of the FitzHugh-Nagumo systems. (English) Zbl 1194.92014 Z. Angew. Math. Phys. 60, No. 2, 237-245 (2009). MSC: 92C20 34C05 34C99 34A34 34C14 34C60 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Z. Angew. Math. Phys. 60, No. 2, 237--245 (2009; Zbl 1194.92014) Full Text: DOI
Llibre, Jaume; Valls, Claudia Centers for polynomial vector fields of arbitrary degree. (English) Zbl 1172.34023 Commun. Pure Appl. Anal. 8, No. 2, 725-742 (2009). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C07 34C25 34C14 37C10 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Commun. Pure Appl. Anal. 8, No. 2, 725--742 (2009; Zbl 1172.34023) Full Text: DOI
Llibre, Jaume; Ponce, Enrique; Torres, Francisco On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities. (English) Zbl 1158.34020 Nonlinearity 21, No. 9, 2121-2142 (2008). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34A36 PDFBibTeX XMLCite \textit{J. Llibre} et al., Nonlinearity 21, No. 9, 2121--2142 (2008; Zbl 1158.34020) Full Text: DOI Link
Castellanos, Víctor; Falconi, Manuel; Llibre, Jaume Periodic orbits in predator-prey systems with Holling functional responses. (English) Zbl 1160.34044 Sci. Math. Jpn. 67, No. 2, 205-217 (2008). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 34C05 92D25 34C23 PDFBibTeX XMLCite \textit{V. Castellanos} et al., Sci. Math. Jpn. 67, No. 2, 205--217 (2008; Zbl 1160.34044)
Chavarriga, Javier; García, Belén; Llibre, Jaume; Pérez Del Río, Jesús S.; Rodríguez, José Angel Polynomial first integrals of quadratic vector fields. (English) Zbl 1117.34035 J. Differ. Equations 230, No. 2, 393-421 (2006). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C14 37C10 34A05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., J. Differ. Equations 230, No. 2, 393--421 (2006; Zbl 1117.34035) 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)
Llibre, Jaume; Rodríguez, Gerardo Configurations of limit cycles and planar polynomial vector fields. (English) Zbl 1055.34061 J. Differ. Equations 198, No. 2, 374-380 (2004). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C05 34C25 37C27 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{G. Rodríguez}, J. Differ. Equations 198, No. 2, 374--380 (2004; Zbl 1055.34061) Full Text: DOI
Viano, Mireille; Llibre, Jaume; Giacomini, Hector Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor. (English) Zbl 1011.34029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 1, 117-136 (2002). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C23 34C05 34C25 37C27 PDFBibTeX XMLCite \textit{M. Viano} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 1, 117--136 (2002; Zbl 1011.34029) Full Text: DOI
Llibre, Jaume; Zhang, Xiang Invariant algebraic surfaces of the Belousov-Zhabotinskii systems. (English) Zbl 1127.34328 Comput. Appl. Math. 20, No. 1-2, 195-219 (2001). MSC: 34C30 34C05 37C15 34C14 34C60 92C40 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{X. Zhang}, Comput. Appl. Math. 20, No. 1--2, 195--219 (2001; Zbl 1127.34328)
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen On the limit cycles of polynomial differential systems with homogeneous nonlinearities. (English) Zbl 0974.34029 Proc. Edinb. Math. Soc., II. Ser. 43, No. 3, 529-543 (2000). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C07 37G15 34D30 34C25 34C05 PDFBibTeX XMLCite \textit{C. Li} et al., Proc. Edinb. Math. Soc., II. Ser. 43, No. 3, 529--543 (2000; Zbl 0974.34029) Full Text: DOI
Cairó, L.; Chavarriga, J.; Giné, J.; Llibre, J. A class of reversible cubic systems with an isochronous center. (English) Zbl 0982.34024 Comput. Math. Appl. 38, No. 11-12, 39-53 (1999). Reviewer: V.A.Gaiko (Minsk) MSC: 34C05 34C60 34C25 PDFBibTeX XMLCite \textit{L. Cairó} et al., Comput. Math. Appl. 38, No. 11--12, 39--53 (1999; Zbl 0982.34024) Full Text: DOI
Gasull, A.; Llibre, J. Limit cycles for a class of Abel equations. (English) Zbl 0732.34025 SIAM J. Math. Anal. 21, No. 5, 1235-1244 (1990). Reviewer: I.G.Rozett (Smarkand) MSC: 34C05 37G15 PDFBibTeX XMLCite \textit{A. Gasull} and \textit{J. Llibre}, SIAM J. Math. Anal. 21, No. 5, 1235--1244 (1990; Zbl 0732.34025) Full Text: DOI