J. Llibre, L. F. Mello.   NEW 2026-01-22
On the invariant sphere theorem with emphasis in the round sphere $S^n$.
Preprint. January, 2026. To appear in ABAKOS
Abstract

J. Llibre, L. L. Silva.   NEW 2026-01-20
Periodic orbits in slow - fast piecewise linear hamiltonian systems.
Preprint. January, 2026.
Abstract

N. Chachapoyas, J. Llibre, I. S. Meza Sarmiento, J. Vidarte.   NEW 2026-01-19
Limit cycles of continuous-discontinuous piecewise linear Hamiltonian systems in \(r^2\) separated by the curve \(y=\sin(x)\).
49, 2093-2097. 2026. [DOI]
PreprintAbstract

M. R. Cândido, J. Llibre, M. Messias, C. Valls.   NEW 2026-01-12
Multiple invariant sets bifurcating from a zero-Hopf equilibrium.
Preprint. January, 2026.
Abstract

W. Cui, J. Llibre.   NEW 2026-01-07
Dynamics of a predator-prey model with alternative prey and scaled harvesting efforts.
Preprint. January, 2026.
Abstract

J. D. Huancas, J. Llibre, C. Vidal.   NEW 2026-01-07
Dynamics of the stretch-twist-fold system.
Preprint. January, 2026.
Abstract

L. F. Gonçalves, R. Euzébio, V. C. Fernandes, J. Llibre.   NEW 2026-01-07
Limit cycles of piecewise smooth vector fields formed by rigid systems and linear centers.
Preprint. January, 2026.
Abstract

J. Llibre, N. Sadri, M. Mousavi.   NEW 2025-12-31
Qualitative study of the multimolecular reaction systems.
Preprint. December, 2025.
Abstract

Y. P. Martinez-Mancilla, J. Llibre, C. Valls.   NEW 2025-12-30
On the dynamics of the Muthuswamy-Chua systems in $R^3$.
Chaos, 35(043121), 8 pages. 2025. [DOI]
PreprintAbstract

A. F. Fonseca, J. Llibre, L. F. Mello.   NEW 2025-12-22
Periodic orbits of the planar continuous piecewise linear systems with three zones separated by two parallel straight lines.
Preprint. December, 2025.
Abstract

R. A. Garcia, A. Gasull.   NEW 2025-12-19
Plane curves with proportional affine and Euclidean curvatures.
Preprint. December, 2025.
PreprintAbstract

J. Llibre, Y. Tang, J. Yu, P. Zhou.   NEW 2025-12-18
Global dynamics of quadratic and cubic planar quasi-homogeneous differential systems.
Preprint. December, 2025.
Abstract

J. Llibre, R. D. S. Oliveira, C. A. B. Rodrigues.   NEW 2025-12-12
Invariant cubics and Darboux invariants for planar polynomial differential systems.
Preprint. December, 2025.
Abstract

R. A. Garcia, J. Llibre.   NEW 2025-12-01
Limit cycles for horizontal and vertical principal foliations.
Preprint. December, 2025.
Abstract

A. Bakhshalizadeh, J. Llibre.   NEW 2025-12-01
Limit cycles in planar discontinuous piecewise linear Hamiltonian systems with three equal sectors.
Preprint. December, 2025.
Abstract

J. Llibre, A. Makhlouf.   NEW 2025-11-21
Periodic orbits of a galactic Hamiltonian system.
Preprint. November, 2025.
Abstract

S. Jana, J. Llibre.   NEW 2025-11-14
$n$-dimensional Lotka-Volterra systems with a Darboux invariant.
Preprint. November, 2025.
Abstract

M. T. A. Cabrera, R. Cristiano, J. Llibre.   NEW 2025-11-09
Phase portraits of a Lotka-Volterra model with discontinuous harvesting action.
Preprint. November, 2025.
Abstract

J. Llibre, R. O. Ramírez.   NEW 2025-11-09
Inverse problems for the Stäckel mechanical systems.
Preprint. November, 2025.
Abstract

J. Llibre.   NEW 2025-11-03
Algebraic limit cycles.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 35(14), 2540008. 2025. [DOI]
Preprint