D. d. C. Braga, J. Llibre, L. F. Mello.
Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones.
Dyn. Syst., 37(4), 578-602. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

C. A. Buzzi, Y. R. Carvalho, J. Llibre.
Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centers.
Dyn. Syst., 37(4), 710-728. 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

B. Campos, J. Canela, P. Vindel.
Dynamics of Newton-like root finding methods.
Numer. Algor., . 2022. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Canela, Ll. Alsedà, N. Fagella, J. Sardanyés.
Dynamical mechanism behind ghosts unveiled in a map complexification.
Chaos Solitons Fractals, 156, 111780. 2022. [DOI]
PreprintAbstract

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]
PreprintAbstractPreprint 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]
PostprintAbstractPreprint 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