On a Result of Darboux. - Javier Chavarriga; Jaume Llibre; Jean Moulin Ollagnier (LMS J. Comput. Math., 2001)

Darbouxian Integrability of Polynomial Vector Fields with Special Emphasis on the Two-Dimensional Surfaces. - Jaume Llibre; Gerardo Rodríguez (Int. J. Bifurc. Chaos, 2002)

Darboux Integrability for the Rössler System. - Jaume Llibre; Xiang Zhang 009 (Int. J. Bifurc. Chaos, 2002)

Semistable Limit Cycles that Bifurcate from Centers. - Héctor Giacomini; Mireille Viano; Jaume Llibre (Int. J. Bifurc. Chaos, 2003)

Piecewise Linear Feedback Systems with Arbitrary Number of Limit Cycles. - Jaume Llibre; Enrique Ponce (Int. J. Bifurc. Chaos, 2003)

Periods for Continuous Self-Maps of the Figure-Eight Space. - Jaume Llibre; José Paraños; J. Ángel Rodríguez (Int. J. Bifurc. Chaos, 2003)

Existence of PoincarÉ Maps in Piecewise Linear Differential Systems in Rn. - Jaume Llibre; Antonio E. Teruel (Int. J. Bifurc. Chaos, 2004)

Families of Periodic Orbits for the Spatial Isosceles 3-Body Problem. - Montserrat Corbera; Jaume Llibre (SIAM J. Math. Anal., 2004)

Bifurcation of Limit Cycles from a Four-Dimensional Center in Control Systems. - Adriana Buica; Jaume Llibre (Int. J. Bifurc. Chaos, 2005)

Transversal Homoclinic Orbits in the Collinear Restricted Three-Body Problem. - Jaume Llibre; Ernesto Pérez-Chavela (J. Nonlinear Sci., 2005)

Integrability, degenerate centers, and limit cycles for a class of polynomial differential systems. - Jaume Giné; Jaume Llibre (Comput. Math. Appl., 2006)

The Geometry of Quadratic Differential Systems with a Weak Focus of Second Order. - Joan C. Artés; Jaume Llibre; Dana Schlomiuk (Int. J. Bifurc. Chaos, 2006)

Symmetric Periodic orbits Near heteroclinic Loops at Infinity for a Class of Polynomial Vector Fields. - Montserrat Corbera; Jaume Llibre (Int. J. Bifurc. Chaos, 2006)

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. - Montserrat Corbera; Jaume Llibre (Int. J. Bifurc. Chaos, 2007)

Hyperbolic Periodic orbits from the bifurcation of a Four-Dimensional Nonlinear Center. - Antoni Ferragut; Jaume Llibre; Marco Antonio Teixeira (Int. J. Bifurc. Chaos, 2007)

Periodic orbits Near a heteroclinic Loop formed by One-Dimensional Orbit and a Two-Dimensional Manifold: Application to the charged Collinear Three-Body Problem. - Jaume Llibre; Daniel Pasca (Int. J. Bifurc. Chaos, 2007)

Horseshoes Near homoclinic orbits for Piecewise Linear Differential Systems in R3. - Jaume Llibre; Enrique Ponce; Antonio E. Teruel (Int. J. Bifurc. Chaos, 2007)

Formal and Analytic Integrability of the Rossler System. - Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2007)

Singular Points of Quadratic Systems: a Complete Classification in the Coefficient Space R12. - Joan C. Artés; Jaume Llibre; Nicolae Vulpe (Int. J. Bifurc. Chaos, 2008)

On the Families of Periodic Orbits of the Sitnikov Problem. - Jaume Llibre; Rafael Ortega (SIAM J. Appl. Dyn. Syst., 2008)

Bifurcation of limit cycles from a 4-dimensional center in 1: n resonance. - Jaume Llibre; Amar Makhlouf (Appl. Math. Comput., 2009)

Limit cycles bifurcating from a two-dimensional isochronous cylinder. - Jaume Llibre; Marco Antonio Teixeira (Appl. Math. Lett., 2009)

Phase Portraits of the Quadratic Systems with a Polynomial Inverse Integrating Factor. - Bartomeu Coll; Antoni Ferragut; Jaume Llibre (Int. J. Bifurc. Chaos, 2009)

Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation. - Jaume Llibre; Paulo Ricardo da Silva; Marco Antonio Teixeira (SIAM J. Appl. Dyn. Syst., 2009)

Asymptotic Stability of Periodic Solutions for Nonsmooth Differential Equations with Application to the Nonsmooth van der Pol Oscillator. - Adriana Buica; Jaume Llibre; Oleg Makarenkov (SIAM J. Math. Anal., 2009)

The Geometry of Quadratic Polynomial Differential Systems with a Weak Focus and an Invariant Straight Line. - Joan C. Artés; Jaume Llibre; Dana Schlomiuk (Int. J. Bifurc. Chaos, 2010)

Global Dynamics of the Lorenz System with Invariant Algebraic Surfaces. - Jaume Llibre; Marcelo Messias; Paulo Ricardo da Silva (Int. J. Bifurc. Chaos, 2010)

Invariant Tori Fulfilled by Periodic orbits for Four-Dimensional Differential Systems in the Presence of Resonance. - Jaume Llibre; Ana Cristina Mereu; Marco Antonio Teixeira (Int. J. Bifurc. Chaos, 2010)

Analytical study of a triple Hopf bifurcation in a tritrophic food chain model. - Jean-Pierre Françoise; Jaume Llibre (Appl. Math. Comput., 2011)

Limit cycles and invariant cylinders for a class of continuous and discontinuous vector field in dimention 2n. - Maurício Firmino Silva Lima; Jaume Llibre (Appl. Math. Comput., 2011)

On the C1 non-integrability of the Belousov-Zhabotinskii system. - Jaume Llibre; Cláudia Valls (Comput. Math. Appl., 2011)

Limit cycles of Discontinuous Piecewise Linear differential Systems. - Pedro Toniol Cardin; Tiago de Carvalho; Jaume Llibre (Int. J. Bifurc. Chaos, 2011)

Global Classification of a Class of cubic Vector Fields whose Canonical Regions are Period annuli. - Magdalena Caubergh; Jaume Llibre; Joan Torregrosa (Int. J. Bifurc. Chaos, 2011)

On the limit cycles of a class of piecewise linear differential systems in R4 with two zones. - C. A. Buzzi; Jaume Llibre; Joao C. Medrado (Math. Comput. Simul., 2011)

Periodic orbits of the fourth-order non-autonomous differential equation iu'''' + qu'' + pu = εF(t, u, u', u'', u'''). - Jaume Llibre; Amar Makhlouf (Appl. Math. Comput., 2012)

On the Maximum Number of Limit cycles of a Class of Generalized LiéNard differential Systems. - Justino Alavez-Ramírez; Gamaliel Blé; Jorge López-López; Jaume Llibre (Int. J. Bifurc. Chaos, 2012)

Global Phase portraits of some Reversible cubic Centers with Collinear or Infinitely Many Singularities. - Magdalena Caubergh; Jaume Llibre; Joan Torregrosa (Int. J. Bifurc. Chaos, 2012)

On the Center conditions for analytic Monodromic degenerate Singularities. - Jaume Giné; Jaume Llibre (Int. J. Bifurc. Chaos, 2012)

Limit cycles for a Class of Continuous Piecewise Linear differential Systems with Three Zones. - Maurício Firmino Silva Lima; Jaume Llibre (Int. J. Bifurc. Chaos, 2012)

Rational First integrals for Polynomial Vector Fields on Algebraic hypersurfaces of ℝn+1. - Jaume Llibre; Yudy Bolaños (Int. J. Bifurc. Chaos, 2012)

Global Dynamics in the Poincaré ball of the Chen System having Invariant Algebraic Surfaces. - Jaume Llibre; Marcelo Messias; Paulo Ricardo da Silva (Int. J. Bifurc. Chaos, 2012)

Polynomial First integrals for the Chen and Lü Systems. - Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2012)

A note on the equilibria of an economic model with local competition "à la Cournot". - Juan Luis García Guirao; Miguel Ángel López 001; Jaume Llibre; Raquel Martínez (J. Comput. Appl. Math., 2012)

The symmetric central configurations of the 4-body problem with masses. - Martha Alvarez-Ramírez; Jaume Llibre (Appl. Math. Comput., 2013)

A note on the periodic orbits of a kind of Duffing equations. - Jaume Llibre; Ana Rodrigues 002 (Appl. Math. Comput., 2013)

On the dynamics of a class of Kolmogorov systems. - Jaume Llibre; Tayeb Salhi (Appl. Math. Comput., 2013)

A note on Liouvillian first integrals and invariant algebraic curves. - Jaume Giné; Maite Grau; Jaume Llibre (Appl. Math. Lett., 2013)

On the periodic orbits of the third-order differential equation x‴-μx″+x′-μx=εF(x, x′, x″). - Jaume Llibre; Luci A. F. Roberto (Appl. Math. Lett., 2013)

Generalized Weierstrass integrability for the complex differential equations dydx=a(x)y4+b(x)y3+c(x)y2+d(x)y+e(x). - Jaume Llibre; Cláudia Valls (Appl. Math. Lett., 2013)

Polynomial Vector Fields in ℝ3 with Infinitely Many Limit cycles. - Antoni Ferragut; Jaume Llibre; Chara Pantazi (Int. J. Bifurc. Chaos, 2013)

Canards from Chua's Circuit. - Jean-Marc Ginoux; Jaume Llibre; Leon O. Chua (Int. J. Bifurc. Chaos, 2013)

On the Number of Limit cycles for Discontinuous piecewise Linear differential Systems in ℝ2n with Two Zones. - Jaume Llibre; Feng Rong (Int. J. Bifurc. Chaos, 2013)

Lower Bounds for the Maximum Number of Limit cycles of Discontinuous piecewise Linear differential Systems with a Straight Line of Separation. - Jaume Llibre; Marco Antonio Teixeira; Joan Torregrosa (Int. J. Bifurc. Chaos, 2013)

On the Number of Limit cycles for a Generalization of LiéNard Polynomial differential Systems. - Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2013)

Central configurations of the 4-body problem with masses m1 = m2 > m3 = m4 = m > 0 and m small. - Montserrat Corbera; Jaume Llibre (Appl. Math. Comput., 2014)

On the periodic orbit bifurcating from a zero Hopf bifurcation in systems with two slow and one fast variables. - Isaac A. García; Jaume Llibre; Susanna Maza (Appl. Math. Comput., 2014)

Centers for a class of generalized quintic polynomial differential systems. - Jaume Giné; Jaume Llibre; Cláudia Valls (Appl. Math. Comput., 2014)

On the analytic integrability of the cored galactic Hamiltonian. - Jaume Llibre; Cláudia Valls (Appl. Math. Lett., 2014)

On the Limit Cycles of the Polynomial Differential Systems with a Linear Node and Homogeneous Nonlinearities. - Jaume Llibre; Jiang Yu; Xiang Zhang 009 (Int. J. Bifurc. Chaos, 2014)

Piecewise linear differential systems with two real saddles. - Joan C. Artés; Jaume Llibre; Joao C. Medrado; Marco Antonio Teixeira (Math. Comput. Simul., 2014)

Global Dynamics of a Lotka-Volterra Model with Two Predators Competing for One Prey. - Jaume Llibre; Dongmei Xiao (SIAM J. Appl. Math., 2014)

On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems. - Márcio R. A. Gouveia; Jaume Llibre; Douglas D. Novaes (Appl. Math. Comput., 2015)

Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2. - Jaume Llibre; Bruno D. Lopes; Jaime R. de Moraes (Appl. Math. Comput., 2015)

A non-autonomous kind of Duffing equation. - Jaume Llibre; Ana Rodrigues 002 (Appl. Math. Comput., 2015)

On the integrability of a three-dimensional cored galactic Hamiltonian. - Jaume Llibre; Cláudia Valls (Appl. Math. Lett., 2015)

Hopf bifurcation of a generalized Moon-Rand system. - Jaume Llibre; Cláudia Valls (Commun. Nonlinear Sci. Numer. Simul., 2015)

Normal Forms for Polynomial Differential Systems in ℝ3 Having an Invariant Quadric and a Darboux Invariant. - Jaume Llibre; Marcelo Messias; Alisson de Carvalho Reinol (Int. J. Bifurc. Chaos, 2015)

Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones. - Jaume Llibre; Douglas D. Novaes; Marco Antonio Teixeira (Int. J. Bifurc. Chaos, 2015)

On the Dynamics of the Unified Chaotic System Between Lorenz and Chen Systems. - Jaume Llibre; Ana Rodrigues 002 (Int. J. Bifurc. Chaos, 2015)

Periodic Solutions of a Periodic FitzHugh-Nagumo System. - Jaume Llibre; Claudio Vidal (Int. J. Bifurc. Chaos, 2015)

Dynamic systems behaviour analysis and design based on the qualitative theory of differential equations: the Boost power converter case. - Jaume Llibre; Mario Spinetti-Rivera; Eliézer Colina Morles (Int. J. Control, 2015)

Centers and isochronous centers for generalized quintic systems. - Jaume Giné; Jaume Llibre; Cláudia Valls (J. Comput. Appl. Math., 2015)

Phase portraits of uniform isochronous quartic centers. - Jackson Itikawa; Jaume Llibre (J. Comput. Appl. Math., 2015)

Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers. - Jaume Llibre; Jackson Itikawa (J. Comput. Appl. Math., 2015)

Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry. - Jaume Llibre; Enrique Ponce; Cláudia Valls (J. Nonlinear Sci., 2015)

The Completely Integrable Differential Systems are Essentially Linear Differential Systems. - Jaume Llibre; Cláudia Valls; Xiang Zhang 009 (J. Nonlinear Sci., 2015)

Bifurcation of Relative Equilibria of the (1+3)-Body Problem. - Montserrat Corbera; Josep M. Cors; Jaume Llibre; Richard Moeckel (SIAM J. Math. Anal., 2015)

Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2. - Jaume Llibre; Bruno D. Lopes; Jaime R. de Moraes (Appl. Math. Comput., 2016)

When Parallels and Meridians are Limit Cycles for Polynomial Vector Fields on Quadrics of Revolution in the Euclidean 3-Space. - Fabio Scalco Dias; Jaume Llibre; Luis Fernando Mello (Int. J. Bifurc. Chaos, 2016)

Global Phase Portraits of Kukles Differential Systems with Homogeneous Polynomial Nonlinearities of Degree 6 Having a Center and Their Small Limit Cycles. - Jaume Llibre; Maurício Fronza da Silva (Int. J. Bifurc. Chaos, 2016)

Heteroclinic, Homoclinic and Closed Orbits in the Chen System. - Gheorghe Tigan; Jaume Llibre (Int. J. Bifurc. Chaos, 2016)

Sufficient conditions for the existence of periodic solutions of the extended Duffing-Van der Pol oscillator. - Rodrigo D. Euzébio; Jaume Llibre (Int. J. Comput. Math., 2016)

Limit cycles bifurcating from a degenerate center. - Jaume Llibre; Chara Pantazi (Math. Comput. Simul., 2016)

On the integrability of Liénard systems with a strong saddle. - Jaume Giné; Jaume Llibre (Appl. Math. Lett., 2017)

Limit cycles for a variant of a generalized Riccati equation. - Jaume Llibre; Cláudia Valls (Appl. Math. Lett., 2017)

Periodic Orbits of the Planar Anisotropic Kepler Problem. - Elbaz I. Abouelmagd; Jaume Llibre; Juan Luis García Guirao (Int. J. Bifurc. Chaos, 2017)

On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves. - Tiago de Carvalho; Jaume Llibre (Int. J. Bifurc. Chaos, 2017)

Classical Planar Algebraic Curves Realizable by Quadratic Polynomial Differential Systems. - Isaac A. García; Jaume Llibre (Int. J. Bifurc. Chaos, 2017)

Degenerate Fold-Hopf Bifurcations in a Rössler-Type System. - Gheorghe Tigan; Jaume Llibre; Loredana Ciurdariu (Int. J. Bifurc. Chaos, 2017)

Uniform isochronous cubic and quartic centers: Revisited. - Joan C. Artés; Jackson Itikawa; Jaume Llibre (J. Comput. Appl. Math., 2017)

Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory. - Rebiha Benterki; Jaume Llibre (J. Comput. Appl. Math., 2017)

Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems. - Murilo R. Cândido; Jaume Llibre (Int. J. Bifurc. Chaos, 2018)

Periodic Orbits Bifurcating from a Nonisolated Zero-Hopf Equilibrium of Three-Dimensional Differential Systems Revisited. - Murilo R. Cândido; Jaume Llibre (Int. J. Bifurc. Chaos, 2018)

Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model. - Murilo R. Cândido; Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2018)

Bifurcation Diagrams and Global Phase Portraits for Some Hamiltonian Systems with Rational Potentials. - Ting Chen 005; Jaume Llibre (Int. J. Bifurc. Chaos, 2018)

On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation. - Maoan Han; Jaume Llibre; Junmin Yang (Int. J. Bifurc. Chaos, 2018)

Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers. - Jaume Llibre; Yun Tian 001 (Int. J. Bifurc. Chaos, 2018)

Limit cycles of continuous and discontinuous piecewise-linear differential systems in R3. - Bruno Rodrigues de Freitas; Jaume Llibre; Joao C. Medrado (J. Comput. Appl. Math., 2018)

Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria. - Murilo R. Cândido; Jaume Llibre (Math. Comput. Simul., 2018)

Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers. - Fabio Scalco Dias; Jaume Llibre; Cláudia Valls (Math. Comput. Simul., 2018)

Trapezoid central configurations. - Montserrat Corbera; Josep M. Cors; Jaume Llibre; Ernesto Pérez-Chavela (Appl. Math. Comput., 2019)

Bicentric quadrilateral central configurations. - Jaume Llibre; Pengfei Yuan (Appl. Math. Comput., 2019)

Limit cycles of a second-order differential equation. - Ting Chen 005; Jaume Llibre (Appl. Math. Lett., 2019)

On the limit cycles surrounding a diagonalizable linear node with homogeneous nonlinearities. - Jaume Llibre; Tayeb Salhi (Appl. Math. Lett., 2019)

On the periods of a continuous self-map on a graph. - Juan Luis García Guirao; Jaume Llibre (Comput. Appl. Math., 2019)

Topological entropy of continuous self-maps on a graph. - Juan Luis García Guirao; Jaume Llibre; Wei Gao 012 (Comput. Appl. Math., 2019)

Equilic quadrilateral central configurations. - Martha Alvarez-Ramírez; Jaume Llibre (Commun. Nonlinear Sci. Numer. Simul., 2019)

Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve. - Jaume Llibre; Xiang Zhang 009 (Int. J. Bifurc. Chaos, 2019)

Two Limit Cycles in Liénard Piecewise Linear Differential Systems. - Jaume Llibre; Enrique Ponce; Cláudia Valls (J. Nonlinear Sci., 2019)

An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems. - Belén García; Jaume Llibre; Antón Lombardero; Jesús S. Pérez del Río (J. Symb. Comput., 2019)

Differential equations with a given set of solutions. - Jaume Llibre; Rafael Ramírez; Natalia Sadovskaia (Appl. Math. Comput., 2020)

Limit cycles bifurcating of Kolmogorov systems in R2 and in R3. - Jaume Llibre; Y. Paulina Martínez; Cláudia Valls (Commun. Nonlinear Sci. Numer. Simul., 2020)

Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points. - Alexander Fernandes da Fonseca; Jaume Llibre; Luis Fernando Mello (Int. J. Bifurc. Chaos, 2020)

Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities. - Johanna Denise García-Saldaña; Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2020)

Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2. - Jaume Giné; Jaume Llibre (Int. J. Bifurc. Chaos, 2020)

Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones. - Shimin Li; Jaume Llibre (Int. J. Bifurc. Chaos, 2020)

Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities. - Jaume Llibre; Bruno D. Lopes; Jaime R. de Moraes (Int. J. Bifurc. Chaos, 2020)

Zero-Hopf Periodic Orbits for a Rössler Differential System. - Jaume Llibre; Ammar Makhlouf (Int. J. Bifurc. Chaos, 2020)

Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium. - Jaume Llibre; Marcelo Messias; Alisson de Carvalho Reinol (Int. J. Bifurc. Chaos, 2020)

Limit Cycles Bifurcating from a Family of Reversible Quadratic Centers via Averaging Theory. - Jaume Llibre; Arefeh Nabavi; Marzieh Mousavi (Int. J. Bifurc. Chaos, 2020)

Crossing Periodic Orbits via First Integrals. - Jaume Llibre; Durval José Tonon; Mariana Queiroz Velter (Int. J. Bifurc. Chaos, 2020)

The centers and their cyclicity for a class of polynomial differential systems of degree 7. - Rebiha Benterki; Jaume Llibre (J. Comput. Appl. Math., 2020)

Global qualitative dynamics of the Brusselator system. - Jaume Llibre; Cláudia Valls (Math. Comput. Simul., 2020)

Entropy and periods for continuous graph maps. - Jaume Llibre; Víctor F. Sirvent (Comput. Appl. Math., 2021)

The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in R3. - Érika Diz-Pita; Jaume Llibre; Victoria Otero-Espinar; Cláudia Valls (Commun. Nonlinear Sci. Numer. Simul., 2021)

Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers. - Tiago Carvalho 005; Luiz Fernando Gonçalves; Jaume Llibre (Int. J. Bifurc. Chaos, 2021)

Planar Kolmogorov Systems Coming from Spatial Lotka-Volterra Systems. - Érika Diz-Pita; Jaume Llibre; Victoria Otero-Espinar (Int. J. Bifurc. Chaos, 2021)

The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line. - Marina Esteban; Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2021)

Bifurcations of the Riccati Quadratic Polynomial Differential Systems. - Jaume Llibre; Bruno D. Lopes; Paulo Ricardo da Silva (Int. J. Bifurc. Chaos, 2021)

Polynomial Vector Fields on the Clifford Torus. - Jaume Llibre; Adrian C. Murza (Int. J. Bifurc. Chaos, 2021)

The Limit Cycles of the Higgins-Selkov Systems. - Hebai Chen; Jaume Llibre; Yilei Tang (J. Nonlinear Sci., 2021)

Analytic integrability of quasi-homogeneous systems via the Yoshida method. - Belén García; Jaume Llibre; Antón Lombardero; Jesús S. Pérez del Río (J. Symb. Comput., 2021)

Integrability and Limit Cycles via First Integrals. - Jaume Llibre (Symmetry, 2021)

Limit Cycles of Planar Piecewise Differential Systems with Linear Hamiltonian Saddles. - Jaume Llibre; Cláudia Valls (Symmetry, 2021)

On the equilateral pentagonal central configurations. - Martha Alvarez-Ramírez; Armengol Gasull; Jaume Llibre (Commun. Nonlinear Sci. Numer. Simul., 2022)

Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity. - Érika Diz-Pita; Jaume Llibre; Victoria Otero-Espinar (Commun. Nonlinear Sci. Numer. Simul., 2022)

Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field. - Ting Chen 005; Jaume Llibre (Int. J. Bifurc. Chaos, 2022)

Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity. - Érika Diz-Pita; Jaume Llibre; Victoria Otero-Espinar (Int. J. Bifurc. Chaos, 2022)

Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I. - Bilal Ghermoul; Jaume Llibre; Tayeb Salhi (Int. J. Bifurc. Chaos, 2022)

Limit Cycles of Piecewise-Continuous Differential Systems Formed by Linear and Quadratic Isochronous Centers II. - Bilal Ghermoul; Jaume Llibre; Tayeb Salhi (Int. J. Bifurc. Chaos, 2022)

Rocard's 1941 Chaotic Relaxation Econometric Oscillator. - Jean-Marc Ginoux; Franck Jovanovic; Riccardo Meucci; Jaume Llibre (Int. J. Bifurc. Chaos, 2022)

Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory. - Zhifei Guo; Jaume Llibre (Int. J. Bifurc. Chaos, 2022)

Limit Cycles of Planar Discontinuous Piecewise Linear Hamiltonian Systems Without Equilibria Separated by Nonregular Curves. - Johana Jimenez; Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2022)

On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials. - Tiago Carvalho 005; Luiz Fernando Gonçalves; Jaume Llibre (Int. J. Bifurc. Chaos, 2022)

Global Phase Portraits of the Quadratic Systems Having a Singular and Irreducible Invariant Curve of Degree 3. - Jaume Llibre; Chara Pantazi (Int. J. Bifurc. Chaos, 2023)

Limit Cycles of Polynomially Integrable Piecewise Differential Systems. - Belén García; Jaume Llibre; Jesús S. Pérez del Río; Set Pérez-González (Axioms, 2023)

Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems. - Ting Chen 005; Lihong Huang; Jaume Llibre (Int. J. Bifurc. Chaos, 2023)

Phase Portraits of Families VII and VIII of the Quadratic Systems. - Laurent Cairó; Jaume Llibre (Axioms, 2023)

Symmetric Phase Portraits of Homogeneous Polynomial Hamiltonian Systems of Degree 1, 2, 3, 4, and 5 with Finitely Many Equilibria. - Rebiha Benterki; Jaume Llibre (Symmetry, 2023)

Nilpotent Bicenters in Continuous Piecewise ℤ2-Equivariant Cubic Polynomial Hamiltonian Vector Fields: Cusp-Cusp Type. - Ting Chen 005; Jaume Llibre (Int. J. Bifurc. Chaos, 2023)

Global Attractor in the Positive Quadrant of the Lotka-Volterra System in ℝ2. - Jaume Llibre; Y. Paulina Mancilla-Martínez (Int. J. Bifurc. Chaos, 2023)

On the periodic orbits of the continuous-discontinuous piecewise differential systems with three pieces separated by two parallel straight lines. - Jaume Llibre; Marco Antonio Teixeira (Commun. Nonlinear Sci. Numer. Simul., 2023)

Limit Cycles of Some Families of Discontinuous Piecewise Differential Systems Separated by a Straight Line. - Louiza Baymout; Rebiha Benterki; Jaume Llibre (Int. J. Bifurc. Chaos, 2023)

The Extended 16th Hilbert Problem for Discontinuous Piecewise Systems Formed by Linear Centers and Linear Hamiltonian Saddles Separated by a Nonregular Line. - Jaume Llibre; Cláudia Valls (Int. J. Bifurc. Chaos, 2023)

On the Poincaré-Bendixson Formula for Planar Piecewise Smooth Vector Fields. - Shimin Li; Changjian Liu; Jaume Llibre (J. Nonlinear Sci., 2023)

Limit cycles of discontinuous piecewise differential Hamiltonian systems separated by a circle, or a parabola, or a hyperbola. - Joyce A. Casimiro; Jaume Llibre (Math. Comput. Simul., 2024)

Global Analysis of Riccati Quadratic Differential Systems. - Joan C. Artés; Jaume Llibre; Dana Schlomiuk; Nicolae Vulpe (Int. J. Bifurc. Chaos, 2024)

Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line. - Joyce A. Casimiro; Jaume Llibre (Axioms, 2024)

Limit Cycles of the Discontinuous Piecewise Differential Systems Separated by a Nonregular Line and Formed by a Linear Center and a Quadratic One. - Louiza Baymout; Rebiha Benterki; Jaume Llibre (Int. J. Bifurc. Chaos, 2024)

Characterization of the Riccati and Abel Polynomial Differential Systems Having Invariant Algebraic Curves. - Jaume Giné; Jaume Llibre (Int. J. Bifurc. Chaos, 2024)

Three-Dimensional Limit Cycles Generated from Discontinuous Piecewise Differential Systems Separated by Two Intersecting Planes. - Louiza Baymout; Rebiha Benterki; Jaume Llibre (Int. J. Bifurc. Chaos, 2024)

On the Integrability of the Sprott Cubic Conservative Jerk System. - Sarbast Hussein; Jaume Llibre (Int. J. Bifurc. Chaos, 2024)

Characterization of global centers by the monodromy at infinity. - Isaac A. García; Jaume Giné; Jaume Llibre (Commun. Nonlinear Sci. Numer. Simul., 2025)

Limit cycles and chaos in planar hybrid systems. - Jaume Llibre; Paulo Santana (Commun. Nonlinear Sci. Numer. Simul., 2025)

On the Limit Cycles Bifurcating from the Periodic Orbits of a Hamiltonian System. - Gerardo H. Anacona; Jaume Llibre; Bruno Rodrigues de Freitas (Int. J. Bifurc. Chaos, 2025)

On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems. - Yu Bao; Shimin Li; Jaume Llibre; Yulin Zhao (Int. J. Bifurc. Chaos, 2025)

Zero-Hopf bifurcation of a 5D hyperchaotic quadratic polynomial differential systems. - Zouhair Diab; Juan Luis García Guirao; Jaume Llibre (Math. Comput. Simul., 2025)

Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular line of discontinuity (I). - Dongping He; Jaume Llibre (Math. Comput. Simul., 2025)