J. Llibre, L. P. Serantola.
The easiest polynomial differential systems in ${{R}}^3$ having an invariant cylinder.
Extracta Math., 40(1), 121-141. 2025. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Llibre, X. Sun.
Small-amplitude periodic solutions in the jerk equation of arbitrary degree.
Phys. D, 476, 134628. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Tian.
Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three.
J. Math. Phys., 66, 052702. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Tian.
The easiest polynomial differential systems in ${{R}}^4$ having an invariant sphere.
Differ. Equ. Dyn. Syst., . 2025. [DOI]
Abstract

J. Llibre, C. Valls.
On the distribution of the zeros of some polynomial maps $( P, Q, R): R^3 \to R^3$.
J. Algebra Appl. , 24(8), 2650145 (13 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Polynomial differential systems with invariant algebraic curves of arbitrary degree formed by Legendre polynomials.
J. Pure Appl. Algebra, 229(8), 108001. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The global dynamics of a 3-dimensional differential system in $R^3$ via a Darboux invariant.
Acta Mathematica Scientia, 45B(2), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the dynamics of the ACDM model of the universe.
Z. Angew. Math. Phys., 76(206), 15 pages. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Global asymptotic stability in quadratic systems.
Electron. J. Differential Equations, 36, 1-12. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On a class of rigid polynomial centers.
J. Dyn. Control Syst., 31(Article 27), 17 pages. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
On the dynamics of the Craik-Okamoto and the Euler top.
Phys. D, 476, 134684. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, H. Xiong, W. Zhang.
Algebraic limit cycles of planar discontinuous piecewise linear differential systems with an angular switching boundary.
J. Math. Anal. Appl., 546, 129224. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Zhao.
Final evolutions for Lotka-Volterra systems in $R^3$ having a Darboux invariant.
Electron. J. Differential Equations, 37, Paper No. 37, 16. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Zhao, S. Li.
On the index of an isolated equilibrium point for piecewise polynomial differential systems.
J. Math. Anal. Appl., 551(2), 129651. 2025. [DOI]
preprintAbstractPreprint at DDDUAB

V. Mañosa, C. Pantazi.
Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians.
Math. Comput. Simulation, 238, 240-254. 2025. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

D. Marín, L. Queiroz, J. Villadelprat.
The period of the limit cycle bifurcating from a persistent polycycle.
Publ. Mat., 69, 299-318. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Marín, J. Villadelprat.
The cyclicity of hyperbolic hemicycles.
J. Differential Equations, 433, Paper No. 113281, 59. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Ortega, D. Rojas.
Relativistic effects in the dynamics of a particle in a Coulomb field.
Phys. D, 472(134534), 9 PP.. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Torregrosa.
Cubic planar vector fields with high local cyclicity.
Sao Paulo J. Math. Sci., 19(4), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.
Semiclassical quantification of some two degree of freedom potentials: a differential Galois approach.
J. Math. Phys., 65, 012106. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB