R. A. Garcia, C. Grotta Ragazzo, L. F. Mello, M. A. Teixeira, J. Torregrosa.
Stability and bifurcation - dedicated to Jorge Sotomayor (in memoriam).
2025. Special Collection in São Paulo Journal of Mathematical Sciences.
Link to Collection

A. Gasull, L. F. d. S. Gouveia, P. Santana.
On the limit cycles of a quartic model for evolutionary stable strategies.
Nonlinear Anal. Real World Appl., 84, 104313. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Gasull, D. Rojas.
Monotonous period function for equivariant differential equations with homogeneous nonlinearities.
Mediterranean J. Math., 22(112), . 2025.
PreprintAbstractFull PDF

A. Gasull, P. Santana.
A note on Hilbert 16th problem.
Proc. Amer. Math. Soc., 153(2), 669-677. 2025. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Giné, J. Torregrosa.
Limit cycles of homogeneous polynomial Kukles differential systems.
Math. Comput. Simulation, 237, 335-343. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Ginoux, J. Llibre, R. Meucci, J. C. Sprott.   NEW 2025-04-16
Energy function of 2D and 3D coarse systems.
Chaos Solitons Fractals, 199, 116643 (9 pages). 2025. [DOI]
PreprintAbstract

J. Ginoux, R. Meucci, J. Llibre, J. C. Sprott.
Energy Function of 2D and 3D Dynamical Systems.
Chaos Solitons Fractals, 190, 115768. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

M. R. A. Gouveia, J. Llibre, L. A. Roberto.
Phase portraits of a family of Hamiltonian cubic systems.
Differ. Equ. Dyn. Syst., 33(2), 747-755. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

D. He, J. Llibre.
Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular discontinuous boundary (I).
Math. Comput. Simulation, 229, 743–757. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.
Phase portraits of a class of continuous piecewise linear differential systems.
Differ. Equ. Dyn. Syst., 33(2), 689-746. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.
Continuous-discontinuous piecewise differential systems with two pieces separated by a non-regular line.
Discrete Contin. Dyn. Syst. Ser. B, 30(9), 3277-3287. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.
The global dynamics of the Painlevé-Gambier equations XVIII, XXI and XXII.
Mathematics, 13(5), 756. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, J. R. Moraes.
Analytic study of two limit cycles bifurcating from a zero-Hopf equilibrium.
Bol. Soc. Mat. Mexicana, 31(43), . 2025. [DOI]
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J. Llibre, Y. P. Martinez-Mancilla, C. Valls.   NEW 2025-04-10
On the dynamics of the Muthuswamy-Chua systems in $\mathbb R^3$.
Chaos, 35, 043121. 2025. [DOI]
Abstract

J. Llibre, A. C. T. Sánchez, D. J. Tonon.
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line.
NoDEA Nonlinear Differential Equations Appl., 32(48), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, P. Santana.
Limit cycles and chaos in planar hybrid systems.
Commun. Nonlinear Sci. Numer. Simul., 140, 108382. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, L. P. Serantola.   NEW 2025-06-06
The easiest polynomial differential systems in ${{R}}^3$ having an invariant cylinder.
Extracta Math., 40(1), 121-141. 2025. [DOI]
AbstractFull PDFPreprint at DDDUAB

J. Llibre, X. Sun.   NEW 2025-03-07
Small-amplitude periodic solutions in the jerk equation of arbitrary degree.
Phys. D, 476, 134628. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Tian.   NEW 2025-05-02
Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three.
J. Math. Phys., 66, 052702. 2025. [DOI]
Abstract

J. Llibre, C. Valls.
On the distribution of the zeros of some polynomial maps $( P, Q, R): R^3 \to R^3$.
J. Algebra Appl. , 24(8), 2650145 (13 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB