A. Gasull, A. Guillamon, V. Mañosa.
Counting configurations of limit cycles and centers.
Bul. Acad. Ştiinţe Repub. Mold. Mat., 101, 78-96. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Gasull, F. Luca, J. L. Varona.
Three essays on Machin’s type formulas.
Indag. Math. (N.S.), 34, 1373–1396. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Gasull, Y. Zhao.
Existence of at most two limit cycles for some non-autonomous differential equations.
Commun. Pure Appl. Anal., 22(3), 970-982. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Giné, J. Llibre.
The solution of the Poincaré problem on the rational first integral for the Liénard polynomial differential equations.
Chaos, 167, 113013. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Giné, J. Llibre.
Criteria for the nonexistence of periodic orbits in planar differential systems.
Bul. Acad. Ştiinţe Repub. Mold. Mat., 2023(1), 3-7. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Ginoux, J. Llibre.
A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator.
J. Geom. Phys., 183, 104705. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Ginoux, J. Llibre.
Zero-Hopf bifurcation in the Chua's circuit.
J. Math. Phys., 64(7), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

L. F. d. S. Gouveia, P. R. Silva, G. Rondon.
Global phase portrait and local integrability of holomorphic systems.
Qual. Theory Dyn. Syst., 22(35), . 2023. [DOI]
PreprintAbstract

J. J. Jimenez Ruiz, J. Llibre.
Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder.
Sao Paulo J. Math. Sci., 17(2), 679–-691. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. J. Jimenez Ruiz, J. Llibre, C. Valls.
Limit cycles for discontinuous piecewise differential systems in $R^3$ separated by a paraboloid.
Differ. Equ. Dyn. Syst., . 2023. [DOI]
PreprintAbstract

D. Juher, D. Rojas, J. Saldaña.
Saddle-node bifurcation of limit cycles in an epidemic model with two levels of awareness.
Phys. D, 448, 133714. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

N. Kruff, J. Llibre, C. Pantazi, S. Walcher.
Invariant algebraic surfaces of polynomial vector fields in dimension three.
J. Dyn. Diff. Equat., 35, 3241-3268. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.
Phase portraits of two classes of Liénard equations.
Bol. Soc. Mat. Mexicana, 29(9), 18 pages. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Li, C. Liu, J. Llibre.
On the Poincaré-Bendixson index formula for planar piecewise smooth vector fields.
J. Nonlinear Sci., 33(118), 29 pp.. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

S. Li, J. Llibre, X. Sun.
On the indices of singular points for planar bounded piecewise smooth polynomial vector fields.
Nonlinear Anal. Hybrid Syst., 49, 101350. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Li, J. Llibre.
On the 16-th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems.
J. Dyn. Diff. Equat., 35, 87–102. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Li, J. Llibre.
Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries.
J. Differential Equations, 344, 405-438. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
Dynamics of the Painlevé-Ince equation.
Results Math., 78(11), 1-7. 2023. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Llibre.
Limit cycles of planar continuous piecewise differential systems separated by a parabola and formed by an arbitrary linear and quadratic centers.
Discrete Contin. Dyn. Syst. Ser. S, 16(3-4), 533-547. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre.
On the $C^1$ non-integrability of the autonomous differential systems.
Nonlinear Anal. Real World Appl., 74, 103943 (9 pages). 2023. [DOI]
PreprintAbstractPreprint at DDDUAB