P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.   NEW 2024-01-24
Semiclassical quantification of some two degree of freedom potentials: a Differential Galois approach.
J. Math. Phys., 65, 012106. 2024. [DOI]
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J. C. Artés.
Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection.
Qual. Theory Dyn. Syst., 23(40), . 2024. [DOI]
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J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.   NEW 2024-02-23
Global analysis of Riccati quadratic differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(1), 2450004. 2024. [DOI]
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J. C. Artés, J. Llibre, N. Vulpe.
Dynamics of the isotopic star differential system from the mathematical and physical point of views.
Appl. Math., 4(1), 70-78. 2024. [DOI]
PreprintAbstractFull PDFOA at DDDUAB

M. Barcelona, À. Haro, J. M. Mondelo.   NEW 2024-01-08
Semianalytical computation of heteroclinic connections between center manifolds with the parameterization method.
SIAM J. Appl. Dyn. Syst., 23(1), 98-126. 2024. [DOI]
AbstractFull PDF

L. Baymout, R. Benterki, J. Llibre.   NEW 2024-01-31
The solution of the extended 16th Hilbert problem for some classes of piecewise differential systems.
Mathematics, 12(3), 464. 2024. [DOI]
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I. Benabdallah, R. Benterki, J. Llibre.
Limit cycles of discontinuous piecewise differential systems separated by a straight line and formed by cubic reversible isochronous centers having rational first integrals.
Dynam. Contin. Discrete Impuls. Systems. Ser. B, 31, 1-23. 2024.
PreprintAbstract

R. Benterki, L. Damene, J. Llibre.   NEW 2024-01-01
The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II.
Differ. Equ. Dyn. Syst., 32, 115–149. 2024. [DOI]
PreprintAbstractOA at DDDUAB

C. J. Christopher, C. Li, J. Torregrosa.
Limit Cycles of Differential Equations.
Birkhäuser Cham, 2024.
Link Springer

M. Corbera, C. Valls.
Global nilpotent reversible centers with cubic nonlinearities symmetric with respect to the $x$-axis.
Results in Physics, 79(129), . 2024. [DOI] (Preprint)
Abstract

P. Maesschalck, J. Torregrosa.
Critical periods in planar polynomial centers near a maximum number of cusps.
J. Differential Equations, 380(1), 181-197. 2024. [DOI]
PreprintAbstractFull PDFOA at DDDUAB

J. Giné, V. G. Romanovskii, J. Torregrosa.
Time-reversibility and integrability of $p : -q$ resonant vector fields.
AIMS MATH, 9(1), 73–-88. 2024. [DOI]
PreprintAbstractOA at DDDUAB

A. Linero, V. Mañosa, D. Nieves.
On the accumulation points of non-periodic orbits of a difference equation of fourth order.
J. Math. Anal. Appl., 531, 127895. 2024.
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J. Llibre, C. Pantazi.
Qualitative study of the Selkov model.
J. Differential Equations, 393, 155–-173. 2024. [DOI]
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J. Llibre, C. Valls.   NEW 2024-04-05
Darboux theory of integrability in $T^n$.
European J. Appl. Math., . 2024. [DOI]
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J. Llibre, C. Valls.   NEW 2024-02-11
The phase portrait of all polynomial Liénard isochronous centers.
Chaos Solitons Fractals, 180, 114500. 2024. [DOI]
Abstract

J. Llibre, C. Valls.   NEW 2024-03-26
A weakened Markus-Yamabe condition for planar polynomial differential systems of degree (1,n).
Proc. Edinb. Math. Soc. (2), 66, 1110–1118. 2024. [DOI]
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J. Llibre, C. Valls.   NEW 2024-03-14
Darboux theory of integrability on the Clifford n-dimensional torus.
Bull. Sci. Math., 192, 103403. 2024. [DOI]
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J. Llibre, C. Valls.   NEW 2024-04-15
Twin quadratic polynomial vector fields in the space $C^3$.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 31, 121-132. 2024.
PostprintAbstract

E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.
On the periodic orbits of the perturbed two and three bodies problems.
Galaxies, 2023(11), 58. 2023. [DOI]
PreprintAbstractOA at DDDUAB