J. Llibre, W. Szuminski.   NEW 2026-07-03
Zero-Hopf bifurcation, periodic orbits and $c^1$ non-integrability of the classical Rössler system.
Preprint. July, 2026.
Abstract

A. M. Escobar, L. Jiménez-Lara, J. Llibre.   NEW 2026-06-30
Global phase portrait of the planar Smorodinsky-Winternitz system.
Preprint. June, 2026.
Abstract

J. Llibre, L. P. Serantola.   NEW 2026-06-24
Periodic orbits of an hybrid system in $R^3$.
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, 33(2), 137-142. 2026.
PreprintAbstract

J. Llibre, Z. Wang, D. Xiao.   NEW 2026-06-23
Centers and Lyapunov quantities in a cubic polynomial Kolmogorov differential system.
Nonlinear Anal. Real World Appl., 89(Paper No. 104536), 14 pp.. 2026.  [DOI]
PreprintAbstract

J. Llibre.   NEW 2026-06-23
The simplest polynomial differential systems in R^3 having an invariant sphere.
Amer. Math. Monthly, 132(10), 1023-1029. 2025.  [DOI]
PreprintAbstract

Ll. Alsedà, J. Bobok, M. Misiurewicz, L. Snoha.   NEW 2026-06-23
The real teapot.
Ergodic Theory Dynam. Systems, 45, 2945-2975. 2025.  [DOI]
Abstract

A. Feddaoui, J. Llibre, A. Makhlouf.   NEW 2026-06-16
Periodic orbits and their stability for a class of non-autonomous 4-order differential equations.
Bol. Soc. Mat. Mexicana, 32(79), . 2026.  [DOI]
PreprintAbstract

Y. Dai, J. Llibre.   NEW 2026-06-16
Global phase portraits and limit cycles of a Leslie-Gower model with Beddington-DeAngelis functional response.
Preprint. June, 2026.
Abstract

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.   NEW 2026-06-16
Phase portraits of a family of real quadratic differential systems possessing a nilpotent or intricate singularity at infinity.
Preprint. June, 2026.
Abstract

J. Llibre, T. Salhi.   NEW 2026-06-08
New dynamics in the Rössler system.
Bulletin of the Iranian Mathematical Society, 52(Article number 37), 17 pp.. 2026.  [DOI]
PreprintAbstract

A. Bakhshalizadeh, J. Llibre.   NEW 2026-06-04
Continuous linear and quadratic differential systems on the 2-dimensional torus.
Bol. Soc. Mat. Mexicana, 32(Article number 75), 13 pp.. 2026.  [DOI]
PreprintAbstract

W. Cui, J. Llibre.   NEW 2026-06-02
The dynamics on the invariant spheres of some $3$-dimensional polynomial differential systems.
Preprint. June, 2026.
Abstract

Ll. Alsedà, A. Garijo, X. Jarque.   NEW 2026-05-27
Mersenne numbers and the doubling map.
Preprint. May, 2026.
PreprintAbstract

F. Becatti, J. Llibre.   NEW 2026-05-22
Limit cycles of continuous piecewise differential systems formed by two rigid systems separated by one straight line.
Preprint. May, 2026.
Abstract

S. R. Alva, J. Llibre, A. C. Mereu.   NEW 2026-05-22
On the second part of Hilbert's 16th problem for some classes of discontinuous piecewise differential systems separated by a circle.
Preprint. May, 2026.
Abstract

J. Llibre.   NEW 2026-05-15
Global asymptotic stability for the rigid polynomial differential systems of degree three.
Preprint. May, 2026.
Abstract

J. Itikawa, J. Llibre.   NEW 2026-05-15
New families of planar Hamiltonian systems having global centers.
Preprint. May, 2026.
Abstract

L. L. Silva, J. Llibre.   NEW 2026-05-15
The dynamics of a polynomial differential system in $\mathbb{{R}}^3$.
Preprint. May, 2026.
Abstract

J. Li, J. Llibre.   NEW 2026-05-13
Averaging approach to the limit cycles of a class of discontinuous piecewise differential systems.
Acta Math. Sinica (N.S.), 42(4), 940-960. 2026.  [DOI]
PreprintAbstract

Y. R. Carvalho, L. P. C. Cruz, L. F. d. S. Gouveia.   NEW 2026-05-08
New lower bound for the Hilbert number in low degree Kolmogorov systems.
Chaos Solitons Fractals, 175, 113937. 2023.  [DOI]
PreprintAbstract