M. E. Anacleto, J. Llibre.   NEW 2026-10-01
Bifurcation of limit cycles from the cubic centers $\dot x= -yR(x,y)$, $\dot y= xR(x,y)$, being $R(x,y)=0$ one of the nine conics.
Preprint. October, 2026.
Abstract

J. Llibre, Y. Zhao.   NEW 2026-09-25
Periodic orbits of a piecewise hybrid relay system separated by a sphere in $\mathbb R^3$.
Preprint. September, 2026.
Abstract

M. T. A. Cabrera, G. Anacona Erazo, J. Llibre.   NEW 2026-09-18
Bounded homogeneous polynomial differential systems of degree 5.
Preprint. September, 2026.
Abstract

J. C. Artés, C. Bujac, D. Schlomiuk, N. Vulpe.   NEW 2026-09-18
Phase portraits of real quadratic differential systems possessing an invariant ellipse.
Preprint. September, 2026.
Abstract

J. Llibre, C. Valls.   NEW 2026-09-09
Dynamics of the Tolman-Oppenheimer-Volkoff equation.
Preprint. September, 2026.
Abstract

A. Bakhshalizadeh, J. Llibre.   NEW 2026-09-09
Global dynamics of quadratic differential systems in $R^3$ having an invariant torus.
Preprint. September, 2026.
Abstract

Y. Li, J. Llibre.   NEW 2026-09-09
Global dynamics of a class of cubic Kolmogorov systems.
J. Comput. Appl. Math., 491(118010), 31 pages. 2027. [DOI]
PreprintAbstract

J. Llibre, T. Salhi.   NEW 2026-09-09
Integrable quadratic differential systems with a strong focus.
Dynam. Contin. Discrete Impuls. Systems. Ser. B, 33, 195-210. 2026.
PreprintAbstract

D. Marín.   NEW 2026-09-09
Fake saddles and their transition maps.
Electron. J. Qual. Theory Differ. Equ., 2026(5), 10 pages. 2026. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

G. Anacona Erazo, B. R. Freitas, R. Huzak, D. Rojas.   NEW 2026-09-08
The period function in regularized piecewise smooth planar systems.
Preprint. 2026.
PreprintAbstract

W. Szuminski, J. Llibre.   NEW 2026-09-04
Dynamics, periodic orbits and $C^1$ 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