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]
PreprintAbstractPreprint at DDDUAB

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]
PreprintAbstractPreprint at DDDUAB

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]
PreprintAbstractPreprint at DDDUAB

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]
PreprintAbstractPreprint at DDDUAB

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.
PreprintAbstractPreprint at DDDUAB

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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F. Mañosas, D. Rojas, J. Villadelprat.
Analytic tools to bound the criticality at the outer boundary of the period annulus.
J. Dyn. Diff. Equat., 30(3), 883-909. 2018. [DOI]
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D. Marín, J. Villadelprat.
On the Chebyshev property of certain Abelian integrals near a polycycle.
Qual. Theory Dyn. Syst., 17(1), 261-270. 2018. [DOI]
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Y. P. Martinez-Mancilla.
Dynamics of polynomial and rational differential equation with emphasis in the Hamiltonian centers, rational potential, limit cycles and homogeneous systems.
PhD thesis, Universidad del Bio-Bio, Concepción, March 15, 2018.
Abstract

A. Nurtay, M. G. Hennessy, J. Sardanyés, Ll. Alsedà, S. F. Elena.
Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis.
R. Soc. Open Sci., 6, 181179. 2018. [DOI]
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M. Ollé, Ò. Rodríguez, J. Soler.
Ejection-collision orbits in the RTBP.
Commun. Nonlinear Sci. Numer. Simul., 55, 298-315. 2018. [DOI]
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C. A. B. Rodrigues.
Invariant curves on differential systems defined in $R^n, n\geq 2$.
PhD thesis, Universidade de São Paulo, 2018.
Full PDF

D. Rojas.
The monotonicity of the apsidal angle using the theory of potential oscillators.
Qual. Theory Dyn. Syst., 17(3), 631-635. 2018. [DOI]
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D. Rojas, J. Villadelprat.
A criticality result for polycycles in a family of quadratic reversible centers.
J. Differential Equations, 264, 6585-6602. 2018. [DOI]
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K. Sosa, J. Llibre, M. Spinetti-Rivera, E. Colina-Morles.
Qualitative behaviour analysis of feedback-controlled Buck-Boost power converters thru three different techniques.
Revista Politécnica, 42(1), 9 pp.. 2018.
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E. I. Abouelmagd, J. Llibre, J. L. G. Guirao.
Periodic orbits of the planar anisotropic Kepler problem.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 27(3), 1750039. 2017. [DOI]
PreprintAbstractPreprint at DDDUAB