W. Szuminski, J. Llibre.   NEW 2026-09-04
Dynamics, periodic orbits and $\mathscr C^1$ non-integrability of the ABC flow.
Preprint. September, 2026.
Abstract

W. Cui, J. Llibre.   NEW 2026-08-15
Explicit expression of the Hopf periodic orbit in the Wang-Chen system.
Preprint. August, 2026.
Abstract

C. Cao, J. Llibre.   NEW 2026-08-15
Global attractors in a family of asymmetric cubic-quadratic differential systems.
Preprint. August, 2026.
Abstract

C. J. Christopher, M. Grau, J. Villadelprat.   NEW 2026-07-31
Characterization of isochronous centers of polynomial quadratic-like Hamiltonian systems.
J. Differential Equations, 480, 114670. 2026.  [DOI]
PreprintAbstract

L. P. C. Cruz, R. D. S. Oliveira, B. de Carvalho.   NEW 2026-07-20
Simultaneous limit cycle bifurcations and phase portraits in double-Reversible cubic systems with a saddle at the origin.
Preprint. July, 2026.
PreprintAbstract

G. Anacona Erazo, J. Llibre, B. R. Freitas.   NEW 2026-07-09
Lower bounds on the number of limit cycles for a class of Hamiltonian systems.
Preprint. July, 2026.
Abstract

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 pages. 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), 21 Pages. 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 pages. 2026.  [DOI]
PreprintAbstractPreprint at DDDUAB

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 pages. 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