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ORCIDJaume Llibre
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- affiliation: Autonomous University of Barcelona, Spain
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Journal Articles
- 2024
[j160]Joyce A. Casimiro
, Jaume Llibre:
Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line. Axioms 13(3): 161 (2024)- [j159]Joan C. Artés, Jaume Llibre, Dana Schlomiuk, Nicolae Vulpe:
Global Analysis of Riccati Quadratic Differential Systems. Int. J. Bifurc. Chaos 34(1): 2450004:1-2450004:46 (2024) - [j158]Louiza Baymout, Rebiha Benterki, Jaume Llibre:
Limit Cycles of the Discontinuous Piecewise Differential Systems Separated by a Nonregular Line and Formed by a Linear Center and a Quadratic One. Int. J. Bifurc. Chaos 34(5): 2450058:1-2450058:42 (2024) - [j157]Jaume Giné, Jaume Llibre:
Characterization of the Riccati and Abel Polynomial Differential Systems Having Invariant Algebraic Curves. Int. J. Bifurc. Chaos 34(5): 2450066:1-2450066:7 (2024) - [j156]Joyce A. Casimiro, Jaume Llibre:
Limit cycles of discontinuous piecewise differential Hamiltonian systems separated by a circle, or a parabola, or a hyperbola. Math. Comput. Simul. 225: 303-312 (2024) - 2023
- [j155]Belén García, Jaume Llibre, Jesús S. Pérez del Río, Set Pérez-González:
Limit Cycles of Polynomially Integrable Piecewise Differential Systems. Axioms 12(4): 342 (2023) - [j154]Laurent Cairó, Jaume Llibre:
Phase Portraits of Families VII and VIII of the Quadratic Systems. Axioms 12(8): 756 (2023) - [j153]Jaume Llibre, Marco Antonio Teixeira:
On the periodic orbits of the continuous-discontinuous piecewise differential systems with three pieces separated by two parallel straight lines. Commun. Nonlinear Sci. Numer. Simul. 125: 107421 (2023) - [j152]Jaume Llibre, Chara Pantazi:
Global Phase Portraits of the Quadratic Systems Having a Singular and Irreducible Invariant Curve of Degree 3. Int. J. Bifurc. Chaos 33(1): 2350003:1-2350003:54 (2023) - [j151]Ting Chen, Lihong Huang, Jaume Llibre:
Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems. Int. J. Bifurc. Chaos 33(6): 2350075:1-2350075:13 (2023) - [j150]Ting Chen, Jaume Llibre:
Nilpotent Bicenters in Continuous Piecewise ℤ2-Equivariant Cubic Polynomial Hamiltonian Vector Fields: Cusp-Cusp Type. Int. J. Bifurc. Chaos 33(12): 2350138:1-2350138:33 (2023) - [j149]Jaume Llibre, Y. Paulina Mancilla-Martínez:
Global Attractor in the Positive Quadrant of the Lotka-Volterra System in ℝ2. Int. J. Bifurc. Chaos 33(12): 2350147:1-2350147:12 (2023) - [j148]Louiza Baymout, Rebiha Benterki, Jaume Llibre:
Limit Cycles of Some Families of Discontinuous Piecewise Differential Systems Separated by a Straight Line. Int. J. Bifurc. Chaos 33(14): 2350166:1-2350166:11 (2023) - [j147]Jaume Llibre, Cláudia Valls:
The Extended 16th Hilbert Problem for Discontinuous Piecewise Systems Formed by Linear Centers and Linear Hamiltonian Saddles Separated by a Nonregular Line. Int. J. Bifurc. Chaos 33(16): 2350196:1-2350196:10 (2023) - [j146]Shimin Li, Changjian Liu, Jaume Llibre:
On the Poincaré-Bendixson Formula for Planar Piecewise Smooth Vector Fields. J. Nonlinear Sci. 33(6): 118 (2023) - [j145]Rebiha Benterki, Jaume Llibre:
Symmetric Phase Portraits of Homogeneous Polynomial Hamiltonian Systems of Degree 1, 2, 3, 4, and 5 with Finitely Many Equilibria. Symmetry 15(8): 1476 (2023) - 2022
- [j144]Érika Diz-Pita, Jaume Llibre, Victoria Otero-Espinar:
Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity. Commun. Nonlinear Sci. Numer. Simul. 104: 106038 (2022) - [j143]Martha Alvarez-Ramírez, Armengol Gasull, Jaume Llibre:
On the equilateral pentagonal central configurations. Commun. Nonlinear Sci. Numer. Simul. 112: 106511 (2022) - [j142]Bilal Ghermoul, Jaume Llibre, Tayeb Salhi:
Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I. Int. J. Bifurc. Chaos 32(1): 2250003:1-2250003:28 (2022) - [j141]Jean-Marc Ginoux, Franck Jovanovic, Riccardo Meucci, Jaume Llibre:
Rocard's 1941 Chaotic Relaxation Econometric Oscillator. Int. J. Bifurc. Chaos 32(3): 2250043:1-2250043:12 (2022) - [j140]Érika Diz-Pita, Jaume Llibre, Victoria Otero-Espinar:
Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity. Int. J. Bifurc. Chaos 32(5): 2250065:1-2250065:13 (2022) - [j139]Bilal Ghermoul, Jaume Llibre, Tayeb Salhi:
Limit Cycles of Piecewise-Continuous Differential Systems Formed by Linear and Quadratic Isochronous Centers II. Int. J. Bifurc. Chaos 32(6): 2250091:1-2250091:33 (2022) - [j138]Ting Chen, Jaume Llibre:
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field. Int. J. Bifurc. Chaos 32(8): 2250116:1-2250116:23 (2022) - [j137]Johana Jimenez, Jaume Llibre, Cláudia Valls:
Limit Cycles of Planar Discontinuous Piecewise Linear Hamiltonian Systems Without Equilibria Separated by Nonregular Curves. Int. J. Bifurc. Chaos 32(12): 2250184:1-2250184:23 (2022) - [j136]Zhifei Guo, Jaume Llibre:
Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory. Int. J. Bifurc. Chaos 32(12): 2250187:1-2250187:19 (2022) - [j135]Tiago Carvalho, Luiz Fernando Gonçalves, Jaume Llibre:
On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials. Int. J. Bifurc. Chaos 32(16): 2250245:1-2250245:11 (2022) - 2021
- [j134]Jaume Llibre, Víctor F. Sirvent:
Entropy and periods for continuous graph maps. Comput. Appl. Math. 40(8) (2021) - [j133]Érika Diz-Pita, Jaume Llibre, Victoria Otero-Espinar, Cláudia Valls:
The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3. Commun. Nonlinear Sci. Numer. Simul. 95: 105621 (2021) - [j132]Jaume Llibre, Adrian C. Murza:
Polynomial Vector Fields on the Clifford Torus. Int. J. Bifurc. Chaos 31(4): 2150057:1-2150057:5 (2021) - [j131]Jaume Llibre, Bruno D. Lopes, Paulo Ricardo da Silva:
Bifurcations of the Riccati Quadratic Polynomial Differential Systems. Int. J. Bifurc. Chaos 31(6): 2150094:1-2150094:13 (2021) - [j130]Érika Diz-Pita, Jaume Llibre, Victoria Otero-Espinar:
Planar Kolmogorov Systems Coming from Spatial Lotka-Volterra Systems. Int. J. Bifurc. Chaos 31(13): 2150201:1-2150201:37 (2021) - [j129]Tiago Carvalho, Luiz Fernando Gonçalves, Jaume Llibre:
Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers. Int. J. Bifurc. Chaos 31(15): 2150224:1-2150224:19 (2021) - [j128]Marina Esteban, Jaume Llibre, Cláudia Valls:
The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line. Int. J. Bifurc. Chaos 31(15): 2150225:1-2150225:10 (2021) - [j127]Hebai Chen, Jaume Llibre, Yilei Tang:
The Limit Cycles of the Higgins-Selkov Systems. J. Nonlinear Sci. 31(5): 85 (2021) - [j126]Belén García, Jaume Llibre, Antón Lombardero, Jesús S. Pérez del Río:
Analytic integrability of quasi-homogeneous systems via the Yoshida method. J. Symb. Comput. 104: 960-980 (2021) - [j125]Jaume Llibre, Cláudia Valls:
Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles. Symmetry 13(7): 1128 (2021) - [j124]Jaume Llibre:
Integrability and Limit Cycles via First Integrals. Symmetry 13(9): 1736 (2021) - 2020
- [j123]Jaume Llibre, Rafael Ramírez, Natalia Sadovskaia:
Differential equations with a given set of solutions. Appl. Math. Comput. 365 (2020) - [j122]Jaume Llibre, Y. Paulina Martínez, Cláudia Valls:
Limit cycles bifurcating of Kolmogorov systems in R2 and in R3. Commun. Nonlinear Sci. Numer. Simul. 91: 105401 (2020) - [j121]Johanna Denise García-Saldaña, Jaume Llibre, Cláudia Valls:
Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities. Int. J. Bifurc. Chaos 30(1): 2050010:1-2050010:12 (2020) - [j120]Jaume Llibre, Arefeh Nabavi, Marzieh Mousavi:
Limit Cycles Bifurcating from a Family of Reversible Quadratic Centers via Averaging Theory. Int. J. Bifurc. Chaos 30(4): 2050051:1-2050051:8 (2020) - [j119]Jaume Giné, Jaume Llibre:
Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2. Int. J. Bifurc. Chaos 30(4): 2050064:1-2050064:7 (2020) - [j118]Alexander Fernandes da Fonseca, Jaume Llibre, Luis Fernando Mello:
Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points. Int. J. Bifurc. Chaos 30(11): 2050157:1-2050157:8 (2020) - [j117]Jaume Llibre, Bruno D. Lopes, Jaime R. de Moraes:
Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities. Int. J. Bifurc. Chaos 30(11): 2050158:1-2050158:7 (2020) - [j116]Jaume Llibre, Durval José Tonon, Mariana Queiroz Velter:
Crossing Periodic Orbits via First Integrals. Int. J. Bifurc. Chaos 30(11): 2050163:1-2050163:9 (2020) - [j115]Jaume Llibre, Ammar Makhlouf:
Zero-Hopf Periodic Orbits for a Rössler Differential System. Int. J. Bifurc. Chaos 30(12): 2050170:1-2050170:6 (2020) - [j114]Jaume Llibre, Marcelo Messias, Alisson de Carvalho Reinol:
Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium. Int. J. Bifurc. Chaos 30(13): 2050189:1-2050189:11 (2020) - [j113]Shimin Li, Jaume Llibre:
Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones. Int. J. Bifurc. Chaos 30(15): 2050232:1-2050232:7 (2020) - [j112]Rebiha Benterki, Jaume Llibre:
The centers and their cyclicity for a class of polynomial differential systems of degree 7. J. Comput. Appl. Math. 368 (2020) - [j111]Jaume Llibre, Cláudia Valls:
Global qualitative dynamics of the Brusselator system. Math. Comput. Simul. 170: 107-114 (2020) - 2019
- [j110]Montserrat Corbera, Josep M. Cors, Jaume Llibre, Ernesto Pérez-Chavela:
Trapezoid central configurations. Appl. Math. Comput. 346: 127-142 (2019) - [j109]Jaume Llibre, Pengfei Yuan:
Bicentric quadrilateral central configurations. Appl. Math. Comput. 362 (2019) - [j108]Ting Chen, Jaume Llibre:
Limit cycles of a second-order differential equation. Appl. Math. Lett. 88: 111-117 (2019) - [j107]Jaume Llibre, Tayeb Salhi:
On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities. Appl. Math. Lett. 98: 427-431 (2019) - [j106]Juan Luis García Guirao, Jaume Llibre:
On the periods of a continuous self-map on a graph. Comput. Appl. Math. 38(2) (2019) - [j105]Juan Luis García Guirao, Jaume Llibre, Wei Gao:
Topological entropy of continuous self-maps on a graph. Comput. Appl. Math. 38(4) (2019) - [j104]Martha Alvarez-Ramírez, Jaume Llibre:
Equilic quadrilateral central configurations. Commun. Nonlinear Sci. Numer. Simul. 78: 104872 (2019) - [j103]Jaume Llibre, Xiang Zhang:
Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve. Int. J. Bifurc. Chaos 29(2): 1950017:1-1950017:17 (2019) - [j102]Jaume Llibre, Enrique Ponce, Cláudia Valls:
Two Limit Cycles in Liénard Piecewise Linear Differential Systems. J. Nonlinear Sci. 29(4): 1499-1522 (2019) - [j101]Belén García, Jaume Llibre, Antón Lombardero, Jesús S. Pérez del Río:
An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems. J. Symb. Comput. 95: 1-25 (2019) - 2018
- [j100]Murilo R. Cândido, Jaume Llibre:
Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems. Int. J. Bifurc. Chaos 28(3): 1830007:1-1830007:14 (2018) - [j99]Murilo R. Cândido, Jaume Llibre:
Periodic Orbits Bifurcating from a Nonisolated Zero-Hopf Equilibrium of Three-Dimensional Differential Systems Revisited. Int. J. Bifurc. Chaos 28(5): 1850058:1-1850058:11 (2018) - [j98]Maoan Han, Jaume Llibre, Junmin Yang:
On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation. Int. J. Bifurc. Chaos 28(9): 1850115:1-1850115:12 (2018) - [j97]Jaume Llibre, Yun Tian:
Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers. Int. J. Bifurc. Chaos 28(12): 1850145:1-1850145:7 (2018) - [j96]Murilo R. Cândido, Jaume Llibre, Cláudia Valls:
Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model. Int. J. Bifurc. Chaos 28(12): 1850150:1-1850150:10 (2018) - [j95]Ting Chen, Jaume Llibre:
Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials. Int. J. Bifurc. Chaos 28(13): 1850168:1-1850168:32 (2018) - [j94]Bruno Rodrigues de Freitas, Jaume Llibre, Joao C. Medrado:
Limit cycles of continuous and discontinuous piecewise-linear differential systems in R3. J. Comput. Appl. Math. 338: 311-323 (2018) - [j93]Fabio Scalco Dias, Jaume Llibre, Cláudia Valls:
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers. Math. Comput. Simul. 144: 60-77 (2018) - [j92]Murilo R. Cândido, Jaume Llibre:
Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria. Math. Comput. Simul. 151: 54-76 (2018) - 2017
- [j91]Jaume Llibre, Cláudia Valls:
Limit cycles for a variant of a generalized Riccati equation. Appl. Math. Lett. 68: 76-79 (2017) - [j90]Jaume Giné, Jaume Llibre:
On the integrability of Liénard systems with a strong saddle. Appl. Math. Lett. 70: 39-45 (2017) - [j89]Elbaz I. Abouelmagd, Jaume Llibre, Juan Luis García Guirao:
Periodic Orbits of the Planar Anisotropic Kepler Problem. Int. J. Bifurc. Chaos 27(3): 1750039:1-1750039:6 (2017) - [j88]Gheorghe Tigan, Jaume Llibre, Loredana Ciurdariu:
Degenerate Fold-Hopf Bifurcations in a Rössler-Type System. Int. J. Bifurc. Chaos 27(5): 1750068:1-1750068:8 (2017) - [j87]Tiago de Carvalho, Jaume Llibre:
On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves. Int. J. Bifurc. Chaos 27(6): 1750090:1-1750090:6 (2017) - [j86]Isaac A. García, Jaume Llibre:
Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems. Int. J. Bifurc. Chaos 27(9): 1750141:1-1750141:12 (2017) - [j85]Rebiha Benterki, Jaume Llibre:
Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory. J. Comput. Appl. Math. 313: 273-283 (2017) - [j84]Joan C. Artés, Jackson Itikawa, Jaume Llibre:
Uniform isochronous cubic and quartic centers: Revisited. J. Comput. Appl. Math. 313: 448-453 (2017) - 2016
- [j83]Jaume Llibre, Bruno D. Lopes, Jaime R. de Moraes:
Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2. Appl. Math. Comput. 274: 47-54 (2016) - [j82]Jaume Llibre, Maurício Fronza da Silva:
Global Phase Portraits of Kukles Differential Systems with Homogeneous Polynomial Nonlinearities of Degree 6 Having a Center and Their Small Limit Cycles. Int. J. Bifurc. Chaos 26(3): 1650044:1-1650044:25 (2016) - [j81]Gheorghe Tigan, Jaume Llibre:
Heteroclinic, Homoclinic and Closed Orbits in the Chen System. Int. J. Bifurc. Chaos 26(4): 1650072:1-1650072:6 (2016) - [j80]Fabio Scalco Dias, Jaume Llibre, Luis Fernando Mello:
When Parallels and Meridians are Limit Cycles for Polynomial Vector Fields on Quadrics of Revolution in the Euclidean 3-Space. Int. J. Bifurc. Chaos 26(9): 1650160:1-1650160:14 (2016) - [j79]Rodrigo D. Euzébio, Jaume Llibre:
Sufficient conditions for the existence of periodic solutions of the extended Duffing-Van der Pol oscillator. Int. J. Comput. Math. 93(8): 1358-1382 (2016) - [j78]Jaume Llibre, Chara Pantazi:
Limit cycles bifurcating from a degenerate center. Math. Comput. Simul. 120: 1-11 (2016) - 2015
- [j77]Jaume Llibre, Bruno D. Lopes, Jaime R. de Moraes:
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2. Appl. Math. Comput. 250: 887-907 (2015) - [j76]Jaume Llibre, Ana Rodrigues:
A non-autonomous kind of Duffing equation. Appl. Math. Comput. 251: 669-674 (2015) - [j75]Márcio R. A. Gouveia, Jaume Llibre, Douglas D. Novaes:
On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems. Appl. Math. Comput. 271: 365-374 (2015) - [j74]Jaume Llibre, Cláudia Valls:
On the integrability of a three-dimensional cored galactic Hamiltonian. Appl. Math. Lett. 41: 23-27 (2015) - [j73]Jaume Llibre, Cláudia Valls:
Hopf bifurcation of a generalized Moon-Rand system. Commun. Nonlinear Sci. Numer. Simul. 20(3): 1070-1077 (2015) - [j72]Jaume Llibre, Marcelo Messias, Alisson de Carvalho Reinol:
Normal Forms for Polynomial Differential Systems in ℝ3 Having an Invariant Quadric and a Darboux Invariant. Int. J. Bifurc. Chaos 25(1): 1550015:1-1550015:16 (2015) - [j71]Jaume Llibre, Ana Rodrigues:
On the Dynamics of the Unified Chaotic System Between Lorenz and Chen Systems. Int. J. Bifurc. Chaos 25(9): 1550122:1-1550122:9 (2015) - [j70]Jaume Llibre, Douglas D. Novaes, Marco Antonio Teixeira:
Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones. Int. J. Bifurc. Chaos 25(11): 1550144:1-1550144:11 (2015) - [j69]Jaume Llibre, Claudio Vidal:
Periodic Solutions of a Periodic FitzHugh-Nagumo System. Int. J. Bifurc. Chaos 25(13): 1550180:1-1550180:6 (2015) - [j68]Jaume Llibre, Mario Spinetti-Rivera, Eliézer Colina Morles:
Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: the Boost power converter case. Int. J. Control 88(6): 1103-1111 (2015) - [j67]Jaume Llibre, Jackson Itikawa:
Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers. J. Comput. Appl. Math. 277: 171-191 (2015) - [j66]Jaume Giné, Jaume Llibre, Cláudia Valls:
Centers and isochronous centers for generalized quintic systems. J. Comput. Appl. Math. 279: 173-186 (2015) - [j65]Jackson Itikawa, Jaume Llibre:
Phase portraits of uniform isochronous quartic centers. J. Comput. Appl. Math. 287: 98-114 (2015) - [j64]Jaume Llibre, Cláudia Valls, Xiang Zhang:
The Completely Integrable Differential Systems are Essentially Linear Differential Systems. J. Nonlinear Sci. 25(4): 815-826 (2015) - [j63]Jaume Llibre, Enrique Ponce, Cláudia Valls:
Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry. J. Nonlinear Sci. 25(4): 861-887 (2015) - [j62]Montserrat Corbera, Josep M. Cors, Jaume Llibre, Richard Moeckel:
Bifurcation of Relative Equilibria of the (1+3)-Body Problem. SIAM J. Math. Anal. 47(2): 1377-1404 (2015) - 2014
- [j61]Isaac A. García, Jaume Llibre, Susanna Maza:
On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables. Appl. Math. Comput. 232: 84-90 (2014) - [j60]Jaume Giné, Jaume Llibre, Cláudia Valls:
Centers for a class of generalized quintic polynomial differential systems. Appl. Math. Comput. 242: 187-195 (2014) - [j59]Montserrat Corbera, Jaume Llibre:
Central configurations of the 4-body problem with masses m1 = m2 > m3 = m4 = m > 0 and m small. Appl. Math. Comput. 246: 121-147 (2014) - [j58]Jaume Llibre, Cláudia Valls:
On the analytic integrability of the cored galactic Hamiltonian. Appl. Math. Lett. 33: 35-39 (2014) - [j57]Jaume Llibre, Jiang Yu, Xiang Zhang:
On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities. Int. J. Bifurc. Chaos 24(5) (2014) - [j56]Joan C. Artés, Jaume Llibre, Joao C. Medrado, Marco Antonio Teixeira:
Piecewise linear differential systems with two real saddles. Math. Comput. Simul. 95: 13-22 (2014) - [j55]Jaume Llibre, Dongmei Xiao:
Global Dynamics of a Lotka-Volterra Model with Two Predators Competing for One Prey. SIAM J. Appl. Math. 74(2): 434-453 (2014) - 2013
- [j54]Martha Alvarez-Ramírez, Jaume Llibre:
The symmetric central configurations of the 4-body problem with masses. Appl. Math. Comput. 219(11): 5996-6001 (2013) - [j53]Jaume Llibre, Ana Rodrigues:
A note on the periodic orbits of a kind of Duffing equations. Appl. Math. Comput. 219(15): 8358-8365 (2013) - [j52]Jaume Llibre, Tayeb Salhi:
On the dynamics of a class of Kolmogorov systems. Appl. Math. Comput. 225: 242-245 (2013) - [j51]Jaume Giné, Maite Grau, Jaume Llibre:
A note on Liouvillian first integrals and invariant algebraic curves. Appl. Math. Lett. 26(2): 285-289 (2013) - [j50]Jaume Llibre, Luci A. F. Roberto:
On the periodic orbits of the third-order differential equation x‴-μx″+x′-μx=εF(x, x′, x″). Appl. Math. Lett. 26(4): 425-430 (2013) - [j49]Jaume Llibre, Cláudia Valls:
Generalized Weierstrass integrability for the complex differential equations dydx=a(x)y4+b(x)y3+c(x)y2+d(x)y+e(x). Appl. Math. Lett. 26(8): 836-841 (2013) - [j48]Antoni Ferragut, Jaume Llibre, Chara Pantazi:
Polynomial Vector Fields in ℝ3 with Infinitely Many Limit cycles. Int. J. Bifurc. Chaos 23(2) (2013) - [j47]Jaume Llibre, Feng Rong:
On the Number of Limit cycles for Discontinuous piecewise Linear differential Systems in ℝ2n with Two Zones. Int. J. Bifurc. Chaos 23(2) (2013) - [j46]Jaume Llibre, Cláudia Valls:
On the Number of Limit cycles for a Generalization of LiéNard Polynomial differential Systems. Int. J. Bifurc. Chaos 23(3) (2013) - [j45]Jean-Marc Ginoux, Jaume Llibre, Leon O. Chua:
Canards from Chua's Circuit. Int. J. Bifurc. Chaos 23(4) (2013) - [j44]Jaume Llibre, Marco Antonio Teixeira, Joan Torregrosa:
Lower Bounds for the Maximum Number of Limit cycles of Discontinuous piecewise Linear differential Systems with a Straight Line of Separation. Int. J. Bifurc. Chaos 23(4) (2013) - 2012
- [j43]Jaume Llibre, Amar Makhlouf:
Periodic orbits of the fourth-order non-autonomous differential equation iu'''' + qu'' + pu = εF(t, u, u', u'', u'''). Appl. Math. Comput. 219(3): 827-836 (2012) - [j42]Justino Alavez-Ramírez, Gamaliel Blé, Jorge López-López, Jaume Llibre:
On the Maximum Number of Limit cycles of a Class of Generalized LiéNard differential Systems. Int. J. Bifurc. Chaos 22(3) (2012) - [j41]Maurício Firmino Silva Lima, Jaume Llibre:
Limit cycles for a Class of Continuous Piecewise Linear differential Systems with Three Zones. Int. J. Bifurc. Chaos 22(6) (2012) - [j40]Jaume Llibre, Marcelo Messias, Paulo Ricardo da Silva:
Global Dynamics in the Poincaré ball of the Chen System having Invariant Algebraic Surfaces. Int. J. Bifurc. Chaos 22(6) (2012) - [j39]Magdalena Caubergh, Jaume Llibre, Joan Torregrosa:
Global Phase portraits of some Reversible cubic Centers with Collinear or Infinitely Many Singularities. Int. J. Bifurc. Chaos 22(11) (2012) - [j38]Jaume Llibre, Yudy Bolaños:
Rational First integrals for Polynomial Vector Fields on Algebraic hypersurfaces of ℝn+1. Int. J. Bifurc. Chaos 22(11) (2012) - [j37]Jaume Llibre, Cláudia Valls:
Polynomial First integrals for the Chen and Lü Systems. Int. J. Bifurc. Chaos 22(11) (2012) - [j36]Jaume Giné, Jaume Llibre:
On the Center conditions for analytic Monodromic degenerate Singularities. Int. J. Bifurc. Chaos 22(12) (2012) - [j35]Juan Luis García Guirao, Miguel Ángel López, Jaume Llibre, Raquel Martínez:
A note on the equilibria of an economic model with local competition "à la Cournot". J. Comput. Appl. Math. 236(12): 3052-3057 (2012) - 2011
- [j34]Jean-Pierre Françoise, Jaume Llibre:
Analytical study of a triple Hopf bifurcation in a tritrophic food chain model. Appl. Math. Comput. 217(17): 7146-7154 (2011) - [j33]Maurício Firmino Silva Lima, Jaume Llibre:
Limit cycles and invariant cylinders for a class of continuous and discontinuous vector field in dimention 2n. Appl. Math. Comput. 217(24): 9985-9996 (2011) - [j32]Jaume Llibre, Cláudia Valls:
On the C1 non-integrability of the Belousov-Zhabotinskii system. Comput. Math. Appl. 62(5): 2342-2348 (2011) - [j31]Magdalena Caubergh, Jaume Llibre, Joan Torregrosa:
Global Classification of a Class of cubic Vector Fields whose Canonical Regions are Period annuli. Int. J. Bifurc. Chaos 21(7): 1831-1867 (2011) - [j30]Pedro Toniol Cardin, Tiago de Carvalho, Jaume Llibre:
Limit cycles of Discontinuous Piecewise Linear differential Systems. Int. J. Bifurc. Chaos 21(11): 3181-3194 (2011) - [j29]C. A. Buzzi, Jaume Llibre, Joao C. Medrado:
On the limit cycles of a class of piecewise linear differential systems in R4 with two zones. Math. Comput. Simul. 82(4): 533-539 (2011) - 2010
- [j28]Jaume Llibre, Marcelo Messias, Paulo Ricardo da Silva:
Global Dynamics of the Lorenz System with Invariant Algebraic Surfaces. Int. J. Bifurc. Chaos 20(10): 3137-3155 (2010) - [j27]Jaume Llibre, Ana Cristina Mereu, Marco Antonio Teixeira:
Invariant Tori Fulfilled by Periodic orbits for Four-Dimensional Differential Systems in the Presence of Resonance. Int. J. Bifurc. Chaos 20(10): 3341-3344 (2010) - [j26]Joan C. Artés, Jaume Llibre, Dana Schlomiuk:
The Geometry of Quadratic Polynomial Differential Systems with a Weak Focus and an Invariant Straight Line. Int. J. Bifurc. Chaos 20(11): 3627-3662 (2010) - 2009
- [j25]Jaume Llibre, Amar Makhlouf:
Bifurcation of limit cycles from a 4-dimensional center in 1: n resonance. Appl. Math. Comput. 215(1): 140-146 (2009) - [j24]Jaume Llibre, Marco Antonio Teixeira:
Limit cycles bifurcating from a two-dimensional isochronous cylinder. Appl. Math. Lett. 22(8): 1231-1234 (2009) - [j23]Bartomeu Coll, Antoni Ferragut, Jaume Llibre:
Phase Portraits of the Quadratic Systems with a Polynomial Inverse Integrating Factor. Int. J. Bifurc. Chaos 19(3): 765-783 (2009) - [j22]Jaume Llibre, Paulo Ricardo da Silva, Marco Antonio Teixeira:
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation. SIAM J. Appl. Dyn. Syst. 8(1): 508-526 (2009) - [j21]Adriana Buica, Jaume Llibre, Oleg Makarenkov:
Asymptotic Stability of Periodic Solutions for Nonsmooth Differential Equations with Application to the Nonsmooth van der Pol Oscillator. SIAM J. Math. Anal. 40(6): 2478-2495 (2009) - 2008
- [j20]Joan C. Artés, Jaume Llibre, Nicolae Vulpe:
Singular Points of Quadratic Systems: a Complete Classification in the Coefficient Space R12. Int. J. Bifurc. Chaos 18(2): 313-362 (2008) - [j19]Jaume Llibre, Rafael Ortega:
On the Families of Periodic Orbits of the Sitnikov Problem. SIAM J. Appl. Dyn. Syst. 7(2): 561-576 (2008) - 2007
- [j18]Jaume Llibre, Enrique Ponce, Antonio E. Teruel:
Horseshoes Near homoclinic orbits for Piecewise Linear Differential Systems in R3. Int. J. Bifurc. Chaos 17(4): 1171-1184 (2007) - [j17]Antoni Ferragut, Jaume Llibre, Marco Antonio Teixeira:
Hyperbolic Periodic orbits from the bifurcation of a Four-Dimensional Nonlinear Center. Int. J. Bifurc. Chaos 17(6): 2159-2167 (2007) - [j16]Jaume Llibre, Daniel Pasca:
Periodic orbits Near a heteroclinic Loop formed by One-Dimensional Orbit and a Two-Dimensional Manifold: Application to the charged Collinear Three-Body Problem. Int. J. Bifurc. Chaos 17(6): 2175-2183 (2007) - [j15]Jaume Llibre, Cláudia Valls:
Formal and Analytic Integrability of the Rossler System. Int. J. Bifurc. Chaos 17(9): 3289-3293 (2007) - [j14]Montserrat Corbera, Jaume Llibre:
Generation of Symmetric Periodic orbits by a heteroclinic Loop formed by Two Singular Points and their Invariant Manifolds of Dimensions 1 and 2 in R3. Int. J. Bifurc. Chaos 17(9): 3295-3302 (2007) - 2006
- [j13]Jaume Giné, Jaume Llibre:
Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems. Comput. Math. Appl. 51(9-10): 1453-1462 (2006) - [j12]Joan C. Artés, Jaume Llibre, Dana Schlomiuk:
The Geometry of Quadratic Differential Systems with a Weak Focus of Second Order. Int. J. Bifurc. Chaos 16(11): 3127-3194 (2006) - [j11]Montserrat Corbera, Jaume Llibre:
Symmetric Periodic orbits Near heteroclinic Loops at Infinity for a Class of Polynomial Vector Fields. Int. J. Bifurc. Chaos 16(11): 3401-3410 (2006) - 2005
- [j10]Adriana Buica, Jaume Llibre:
Bifurcation of Limit Cycles from a Four-Dimensional Center in Control Systems. Int. J. Bifurc. Chaos 15(8): 2653-2662 (2005) - [j9]Jaume Llibre, Ernesto Pérez-Chavela:
Transversal Homoclinic Orbits in the Collinear Restricted Three-Body Problem. J. Nonlinear Sci. 15(1): 1-10 (2005) - 2004
- [j8]Jaume Llibre, Antonio E. Teruel:
Existence of PoincarÉ Maps in Piecewise Linear Differential Systems in Rn. Int. J. Bifurc. Chaos 14(8): 2843-2851 (2004) - [j7]Montserrat Corbera, Jaume Llibre:
Families of Periodic Orbits for the Spatial Isosceles 3-Body Problem. SIAM J. Math. Anal. 35(5): 1311-1346 (2004) - 2003
- [j6]Jaume Llibre, Enrique Ponce:
Piecewise Linear Feedback Systems with Arbitrary Number of Limit Cycles. Int. J. Bifurc. Chaos 13(4): 895-904 (2003) - [j5]Jaume Llibre, José Paraños, J. Ángel Rodríguez:
Periods for Continuous Self-Maps of the Figure-Eight Space. Int. J. Bifurc. Chaos 13(7): 1743-1754 (2003) - [j4]Héctor Giacomini, Mireille Viano, Jaume Llibre:
Semistable Limit Cycles that Bifurcate from Centers. Int. J. Bifurc. Chaos 13(11): 3489-3498 (2003) - 2002
- [j3]Jaume Llibre, Xiang Zhang:
Darboux Integrability for the Rössler System. Int. J. Bifurc. Chaos 12(2): 421-428 (2002) - [j2]Jaume Llibre, Gerardo Rodríguez:
Darbouxian Integrability of Polynomial Vector Fields with Special Emphasis on the Two-Dimensional Surfaces. Int. J. Bifurc. Chaos 12(12): 2821-2833 (2002) - 2001
- [j1]Javier Chavarriga, Jaume Llibre, Jean Moulin Ollagnier:
On a Result of Darboux. LMS J. Comput. Math. 4: 197-210 (2001)
Coauthor Index
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