J. Canela, X. Jarque, D. A. Paraschiv.
Achievable connectivities of Fatou components for a family of singular perturbations.
Discrete Contin. Dyn. Syst., 42(9), 4237-4261. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Chen, S. Li, J. Llibre.
Nilpotent bi-center in continuous piecewise $Z_2$-equivariant cubic polynomial Hamiltonian systems.
Nonlinear Dynam., 110, 705-721. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Chen, J. Llibre.
Nilpotent center in continuous piecewise quadratic polynomial Hamiltonian vector fields.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 32(8), 2250116:1-23. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

X. Chen, T. Li, J. Llibre.
Melnikov functions of arbitrary order for piecewise smooth differential systems in $R^n$ and applications.
J. Differential Equations, 314, 340-369. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Cima, A. Gasull, V. Mañosa.
Asymptotic stability for block triangular maps.
Sarajevo J. Math., 18(1), 25-44. 2022. [DOI]
PreprintAbstract

A. Cima, A. Gasull, V. Mañosa, F. Mañosas.
Pointwise periodic maps with quantized first integrals.
Commun. Nonlinear Sci. Numer. Simul., 108, 106150:1-26. 2022. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

B. Coll, A. Gasull, R. Prohens.
Probability of occurrence of some planar random quasi-homogeneous vector fields.
Mediterranean J. Math., 19, Article number 278. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Corbera, J. Llibre, C. Valls.
Planar central configurations of some restricted (4+1)-body problems.
J. Math. Phys., 63, 122901. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Corbera, C. Valls.
Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields.
Nonlinear Anal. Real World Appl., 64, 103451:1-21. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

C. Cufí-Cabré, J. Llibre.
Periods of the Morse-Smale diffeomorphisms on $S^n$ and $S^m \times S^n$ and $HP^n$.
J. Fixed Point Theory Appl., 24(4), 1-12. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Euzébio, J. Llibre, D. J. Tonon.
Lower bounds for the number of limit cycles in a generalized Rayleigh-Liénard oscillator.
Nonlinearity, 35, 3883-3906. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

L. P. C. Cruz, J. Torregrosa.
Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line.
J. Math. Anal. Appl., 514, 126256. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Carvalho, L. F. Gonçalves, J. Llibre.
On the limit cycles of a class of discontinuous piecewise differential systems formed by two rigid centers governed by odd degree polynomials.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 32(16), 2250245 (11 pages). 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

E. Diz Pita.
Qualitative dynamics of planar and spatial Lotka-Volterra and Kolmogorov systems.
PhD thesis, Universidade de Santiago de Compostela, 2022.
Open Acces

E. Diz Pita, J. Llibre, M. V. Otero Espinar.
Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinty.
Commun. Nonlinear Sci. Numer. Simul., 104, 106038:1-16. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

E. Diz Pita, J. Llibre, M. V. Otero Espinar.
Global phase portraits of a predator-prey system.
Electron. J. Qual. Theory Differ. Equ., 2022(16), 1-13. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

E. Diz Pita, J. Llibre, M. V. Otero Espinar.
Planar Kolmogorov systems with infinitely many singular points at infinity.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 32(5), 2250065. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

F. Gao, J. Llibre.
Global dynamics of the Horava-Lifshitz cosmology in the presence of non-zero cosmological constant in a flat space.
Phys. Dark. Universe, 38, 101139. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Gasull.
55 proves sense paraules.
Mat. Mat., 2022, 2:1-61. 2022.
PreprintAbstractPreprint at DDDUAB

A. Gasull.
Los babilonios y Newton.
Gac. R. Soc. Mat. Esp., 25(3), 488. 2022.
PreprintPreprint at DDDUAB