Jaume Llibre

ORCID

Publication Activity (10 Years)

Years Active: 2002-2023
Publications (10 Years): 92

Top Venues

Int. J. Bifurc. Chaos

Appl. Math. Comput.

Commun. Nonlinear Sci. Numer. Simul.

J. Comput. Appl. Math.

Publications

Laurent Cairó, Jaume Llibre
Phase Portraits of Families VII and VIII of the Quadratic Systems. Axioms 12 (8) (2023)
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) (2023)
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) (2023)
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) (2023)
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 (2023)
Belén García, Jaume Llibre, Jesús S. Pérez del Río, Set Pérez-González
Limit Cycles of Polynomially Integrable Piecewise Differential Systems. Axioms 12 (4) (2023)
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) (2023)
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) (2023)
Shimin Li, Changjian Liu, Jaume Llibre
On the Poincaré-Bendixson Formula for Planar Piecewise Smooth Vector Fields. J. Nonlinear Sci. 33 (6) (2023)
Érika Diz-Pita, Jaume Llibre, Victoria Otero-Espinar
Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity. Int. J. Bifurc. Chaos 32 (5) (2022)
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 (2022)
Jean-Marc Ginoux, Franck Jovanovic, Riccardo Meucci, Jaume Llibre
Rocard's 1941 Chaotic Relaxation Econometric Oscillator. Int. J. Bifurc. Chaos 32 (3) (2022)
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) (2022)
Ting Chen, Jaume Llibre
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field. Int. J. Bifurc. Chaos 32 (8) (2022)
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) (2022)
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) (2022)
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) (2022)
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) (2022)
Martha Alvarez-Ramírez, Armengol Gasull, Jaume Llibre
On the equilateral pentagonal central configurations. Commun. Nonlinear Sci. Numer. Simul. 112 (2022)
Jaume Llibre, Cláudia Valls
Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles. Symmetry 13 (7) (2021)
Jaume Llibre, Bruno D. Lopes, Paulo Ricardo da Silva
Bifurcations of the Riccati Quadratic Polynomial Differential Systems. Int. J. Bifurc. Chaos 31 (6) (2021)
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 (2021)
Érika Diz-Pita, Jaume Llibre, Victoria Otero-Espinar
Planar Kolmogorov Systems Coming from Spatial Lotka-Volterra Systems. Int. J. Bifurc. Chaos 31 (13) (2021)
Belen García, Jaume Llibre, Antón Lombardero, Jesús S. Pérez del Río
Analytic integrability of quasi-homogeneous systems via the Yoshida method. J. Symb. Comput. 104 (2021)
Tiago Carvalho, Luiz Fernando Gonçalves, Jaume Llibre
Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers. Int. J. Bifurc. Chaos 31 (15) (2021)
Jaume Llibre
Integrability and Limit Cycles via First Integrals. Symmetry 13 (9) (2021)
Hebai Chen, Jaume Llibre, Yilei Tang
The Limit Cycles of the Higgins-Selkov Systems. J. Nonlinear Sci. 31 (5) (2021)
Jaume Llibre, Adrian C. Murza
Polynomial Vector Fields on the Clifford Torus. Int. J. Bifurc. Chaos 31 (4) (2021)
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) (2021)
Jaume Llibre, Víctor F. Sirvent
Entropy and periods for continuous graph maps. Comput. Appl. Math. 40 (8) (2021)
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) (2020)
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) (2020)
Jaume Llibre, Cláudia Valls
Global qualitative dynamics of the Brusselator system. Math. Comput. Simul. 170 (2020)
Johanna Denise García-Saldaña, Jaume Llibre, Cláudia Valls
Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities. Int. J. Bifurc. Chaos 30 (1) (2020)
Jaume Giné, Jaume Llibre
Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2. Int. J. Bifurc. Chaos 30 (4) (2020)
Jaume Llibre, Ammar Makhlouf
Zero-Hopf Periodic Orbits for a Rössler Differential System. Int. J. Bifurc. Chaos 30 (12) (2020)
Shimin Li, Jaume Llibre
Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones. Int. J. Bifurc. Chaos 30 (15) (2020)
Jaume Llibre, Durval José Tonon, Mariana Queiroz Velter
Crossing Periodic Orbits via First Integrals. Int. J. Bifurc. Chaos 30 (11) (2020)
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) (2020)
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)
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) (2020)
Jaume Llibre, Y. Paulina Martínez, Cláudia Valls
Limit cycles bifurcating of Kolmogorov systems in R2 and in R3. Commun. Nonlinear Sci. Numer. Simul. 91 (2020)
Jaume Llibre, Rafael Ramírez, Natalia Sadovskaia
Differential equations with a given set of solutions. Appl. Math. Comput. 365 (2020)
Martha Alvarez-Ramírez, Jaume Llibre
Equilic quadrilateral central configurations. Commun. Nonlinear Sci. Numer. Simul. 78 (2019)
Jaume Llibre, Xiang Zhang
Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve. Int. J. Bifurc. Chaos 29 (2) (2019)
Jaume Llibre, Pengfei Yuan
Bicentric quadrilateral central configurations. Appl. Math. Comput. 362 (2019)
Juan Luis García Guirao, Jaume Llibre
On the periods of a continuous self-map on a graph. Comput. Appl. Math. 38 (2) (2019)
Jaume Llibre, Enrique Ponce, Cláudia Valls
Two Limit Cycles in Liénard Piecewise Linear Differential Systems. J. Nonlinear Sci. 29 (4) (2019)
Belen 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 (2019)
Jaume Llibre, Tayeb Salhi
On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities. Appl. Math. Lett. 98 (2019)
Ting Chen, Jaume Llibre
Limit cycles of a second-order differential equation. Appl. Math. Lett. 88 (2019)
Montserrat Corbera, Josep M. Cors, Jaume Llibre, Ernesto Pérez-Chavela
Trapezoid central configurations. Appl. Math. Comput. 346 (2019)
Juan Luis García Guirao, Jaume Llibre, Wei Gao
Topological entropy of continuous self-maps on a graph. Comput. Appl. Math. 38 (4) (2019)
Bruno R. de Freitas, Jaume Llibre, Joao C. Medrado
Limit cycles of continuous and discontinuous piecewise-linear differential systems in R3. J. Comput. Appl. Math. 338 (2018)
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) (2018)
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) (2018)
Fabio Scalco Dias, Jaume Llibre, Cláudia Valls
Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers. Math. Comput. Simul. 144 (2018)
Ting Chen, Jaume Llibre
Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials. Int. J. Bifurc. Chaos 28 (13) (2018)
Jaume Llibre, Yun Tian
Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers. Int. J. Bifurc. Chaos 28 (12) (2018)
Murilo R. Cândido, Jaume Llibre, Cláudia Valls
Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model. Int. J. Bifurc. Chaos 28 (12) (2018)
Murilo R. Cândido, Jaume Llibre
Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria. Math. Comput. Simul. 151 (2018)
Maoan Han, Jaume Llibre, Junmin Yang
On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation. Int. J. Bifurc. Chaos 28 (9) (2018)
Isaac A. García, Jaume Llibre
Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems. Int. J. Bifurc. Chaos 27 (9) (2017)
Gheorghe Tigan, Jaume Llibre, Loredana Ciurdariu
Degenerate Fold-Hopf Bifurcations in a Rössler-Type System. Int. J. Bifurc. Chaos 27 (5) (2017)
Joan C. Artés, Jackson Itikawa, Jaume Llibre
Uniform isochronous cubic and quartic centers: Revisited. J. Comput. Appl. Math. 313 (2017)
Rebiha Benterki, Jaume Llibre
Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory. J. Comput. Appl. Math. 313 (2017)
Elbaz I. Abouelmagd, Jaume Llibre, Juan Luis García Guirao
Periodic Orbits of the Planar Anisotropic Kepler Problem. Int. J. Bifurc. Chaos 27 (3) (2017)
Jaume Giné, Jaume Llibre
On the integrability of Liénard systems with a strong saddle. Appl. Math. Lett. 70 (2017)
Jaume Llibre, Cláudia Valls
Limit cycles for a variant of a generalized Riccati equation. Appl. Math. Lett. 68 (2017)
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) (2017)
Jaume Llibre, Chara Pantazi
Limit cycles bifurcating from a degenerate center. Math. Comput. Simul. 120 (2016)
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 (2016)
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) (2016)
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) (2016)
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) (2016)
Gheorghe Tigan, Jaume Llibre
Heteroclinic, Homoclinic and Closed Orbits in the Chen System. Int. J. Bifurc. Chaos 26 (4) (2016)
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 (2015)
Jaume Llibre, Cláudia Valls, Xiang Zhang
The Completely Integrable Differential Systems are Essentially Linear Differential Systems. J. Nonlinear Sci. 25 (4) (2015)
Jaume Llibre, Ana Rodrigues
A non-autonomous kind of Duffing equation. Appl. Math. Comput. 251 (2015)
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) (2015)
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) (2015)
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) (2015)
Jackson Itikawa, Jaume Llibre
Phase portraits of uniform isochronous quartic centers. J. Comput. Appl. Math. 287 (2015)
Jaume Llibre, Marcelo Messias, Alisson de Carvalho Reinol
Having an Invariant Quadric and a Darboux Invariant. Int. J. Bifurc. Chaos 25 (1) (2015)
Jaume Llibre, Claudio Vidal
Periodic Solutions of a Periodic FitzHugh-Nagumo System. Int. J. Bifurc. Chaos 25 (13) (2015)
Jaume Giné, Jaume Llibre, Cláudia Valls
Centers and isochronous centers for generalized quintic systems. J. Comput. Appl. Math. 279 (2015)
Jaume Llibre, Cláudia Valls
Hopf bifurcation of a generalized Moon-Rand system. Commun. Nonlinear Sci. Numer. Simul. 20 (3) (2015)
Jaume Llibre, Jackson Itikawa
Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers. J. Comput. Appl. Math. 277 (2015)
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 (2015)
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) (2015)
Jaume Llibre, Cláudia Valls
On the integrability of a three-dimensional cored galactic Hamiltonian. Appl. Math. Lett. 41 (2015)
Jaume Llibre, Ana Rodrigues
On the Dynamics of the Unified Chaotic System Between Lorenz and Chen Systems. Int. J. Bifurc. Chaos 25 (9) (2015)
Jaume Giné, Jaume Llibre, Cláudia Valls
Centers for a class of generalized quintic polynomial differential systems. Appl. Math. Comput. 242 (2014)
Montserrat Corbera, Jaume Llibre
small. Appl. Math. Comput. 246 (2014)
Jaume Llibre, Cláudia Valls
On the analytic integrability of the cored galactic Hamiltonian. Appl. Math. Lett. 33 (2014)
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 (2014)
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)
Jaume Llibre, Dongmei Xiao
Global Dynamics of a Lotka-Volterra Model with Two Predators Competing for One Prey. SIAM J. Appl. Math. 74 (2) (2014)
Joan C. Artés, Jaume Llibre, Joao C. Medrado, Marco Antonio Teixeira
Piecewise linear differential systems with two real saddles. Math. Comput. Simul. 95 (2014)
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)

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Publication Activity (10 Years)

Top Topics

Top Venues

Jaume Llibre