A. Gasull, D. D. Novaes, J. Torregrosa.   NEW 2025-09-04
Weak-Coppel problem for a class of Riccati differential equations.
Preprint. September, 2025.
PreprintAbstract

D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.   NEW 2025-09-02
Polynomial differential systems with an arbitrary number of limit cycles surrounding a star node.
J. Differential Equations, 445, 113740 (6 pages). 2025. [DOI]
PreprintAbstract

J. Llibre, C. Valls.   NEW 2025-08-26
On a class of rigid polynomial centers.
J. Dyn. Control Syst., 31(Article 27), 17 pages. 2025. [DOI]
PreprintAbstract

A. Murza, J. Llibre.   NEW 2025-08-20
Darboux theory of integrability for real polynomial vector fields on the n-dimensional hyperboloid.
Preprint. August, 2025.
Abstract

Y. Li, J. Llibre.   NEW 2025-08-20
Dynamics of a differential system in $R^3$ with a simple chaotic flow.
Preprint. August, 2025.
Abstract

J. Llibre, A. Murza.   NEW 2025-08-11
Invariant meridians and parallels on the hyperboloid of one sheet.
Preprint. August, 2025.
Abstract

A. Gasull.   NEW 2025-07-31
A primer on resultants and their applications.
Preprint. July, 2025.
PreprintAbstract

L. Bacelar, J. Llibre.   NEW 2025-07-23
Reversible nilpotent centers with cubic nonlinearities.
Rend. Circ. Mat. Palermo (2), 74(5), Paper Num 138. 2025. [DOI]
PreprintAbstract

H. Ou, J. Llibre.   NEW 2025-07-11
Quadratic systems with two invariant real straight lines and an invariant ellipse.
J. Fixed Point Theory Appl., 27(article 89), 18 pages. 2025. [DOI]
PreprintAbstract

J. Llibre, H. Zeng.   NEW 2025-07-07
Global phase portraits of a SIS model with importation and removal.
Preprint. July, 2025.
Abstract

Á. Fernández-Mora, À. Haro, J. M. Mondelo.   NEW 2025-06-23
On the convergence of flow map parametrization methods in Hamiltonian systems.
Preprint. June, 2025.
PreprintAbstract

L. Queiroz, J. Llibre.   NEW 2025-06-23
On a class of Hamiltonian Kolmogorov systems.
Preprint. June, 2025.
Abstract

R. F. Appis, J. Llibre.   NEW 2025-06-16
No global centers in a class of cubic systems.
Preprint. June, 2025.
Abstract

J. Llibre, A. C. Rezende, L. P. Serantola.   NEW 2025-06-09
The periodic orbits of some classes of $3$-dimensional relay hybrid systems.
Preprint. June, 2025.
Abstract

J. Llibre, L. P. Serantola.   NEW 2025-06-06
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, A. C. T. Sánchez, D. J. Tonon.   NEW 2025-06-04
Limit cycles of discontinuous piecewise hybrid rigid systems separated by a straight line.
Preprint. June, 2025.
Abstract

A. Murza, J. Llibre.   NEW 2025-06-01
Polynomial vector fields on the whitney umbrella.
Preprint. June, 2025.
Abstract

C. Cao, H. Chen, J. Llibre, Y. Tang.   NEW 2025-06-01
Global dynamics of the Selkov systems.
Phys. D, 482, 134894 (17 pages). 2025. [DOI]
PreprintAbstract

J. Llibre, C. Valls.   NEW 2025-06-01
On the dynamics of the Craik-Okamoto and the Euler top.
Phys. D, 476, 134684. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

L. P. C. Cruz, R. D. S. Oliveira, J. Torregrosa.   NEW 2025-05-28
Limit cycles in piecewise quadratic Kolmogorov systems.
To appear in Commun. Nonlinear Sci. Numer. Simul.
PreprintAbstract