J. Llibre, M. F. d. Silva.
Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line.
C. R. Acad. Sci. Paris Ser. I Math., . 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, V. F. Sirvent.
On Lefschetz periodic point free self-maps.
J. Fixed Point Theory Appl., 30(38), 9 pages. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. A. Teixeira.
Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals.
Sao Paulo J. Math. Sci., 12, 121-135. 2018. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, M. A. Teixeira.
Piecewise linear differential systems with only centers can create limit cycles?
Nonlinear Dynam., 91, 249-255. 2018. [DOI]
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J. Llibre, Y. Tian.
Algebraic limit cycles bifurcating from algebraic ovals of quadratic centers.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 28(12), 1-7. 2018. [DOI]
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J. Llibre, D. J. Tonon.
The symmetric periodic orbits for the classical helium atom.
Lett. Math. Phys., 108, 1851-1871. 2018. [DOI]
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J. Llibre, C. Valls.
On the Darboux integrability of the Hindmarsh-Rose burster.
Acta Math. Sin. (Engl. Ser.), 34(6), 947-958. 2018. [DOI]
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J. Llibre, C. Valls.
Algebraic limit cycles for quadratic polynomial differential systems.
Discrete Contin. Dyn. Syst. Ser. B, 23(6), 2475-2485. 2018. [DOI]
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J. Llibre, C. Valls.
Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve.
Acta Math. Sinica (N.S.), 34(5), 801-811. 2018. [DOI]
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J. Llibre, C. Valls.
Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems.
Electron. J. Differential Equations, 2018(83), 1-7. 2018.
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J. Llibre, C. Valls.
Integrability of Hamiltonian systems with two degrees of freedom and homogenous potential of degree zero.
J. Appl. Math. Phys., 6, 2192-2201. 2018. [DOI]
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J. Llibre, C. Valls.
On the integrability of Hamiltonian systems with d degrees of freedom and homogenous polynomial potential of degree n.
Commun. Contemp. Math., 20(8), 1750045 (9 pages). 2018. [DOI]
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J. Llibre, C. Valls.
Global phase portraits for the Abel quadratic polynomial differential equations of second kind with $Z_2$-symmetries.
Canad. Math. Bull., 61(1), 149-165. 2018. [DOI]
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J. Llibre, C. Valls.
On the global dynamics of a finance model.
Chaos Solitons Fractals, 106, 1-4. 2018. [DOI]
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J. Llibre, C. Valls.
Algebraic limit cycles on quadratic polynomial differential systems.
Proc. Edinb. Math. Soc. (2), 61, 499-512. 2018. [DOI]
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J. Llibre, C. Valls, C. Vidal.
Global dynamics of the Buckingham's two-body problem.
Astrophys. Space Sci., 363(255), 1-11. 2018. [DOI]
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J. Llibre, J. Yu.
No periodic orbits in the Bianchi models B.
J. Geom. Phys., 128, 32-37. 2018. [DOI]
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J. Llibre, J. Yu.
Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves.
Electron. J. Differential Equations, 2018(141), 1-19. 2018.
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J. Llibre, X. Zhang.
Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center.
J. Math. Anal. Appl., 467, 537-549. 2018. [DOI]
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J. Llibre, X. Zhang.
On the integrability of the Hamiltonian systems with homogeneus polynomial potentials.
Appl. Math. Non. Sciences, 3(2), 536. 2018. [DOI]
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