M. J. Álvarez, A. Gasull, R. Prohens.
Uniqueness of limit cycles for complex differential equations with two monomials.
J. Math. Anal. Appl., 518, 126663. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

M. E. Anacleto, J. Llibre, C. Valls, C. Vidal.
Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers.
Bol. Soc. Mat. Mexicana, 29, 29. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

M. E. Anacleto, J. Llibre, C. Valls, C. Vidal.
Crossing limit cycles for discontinuous piecewise linear differential centers separated by three parallel straight lines.
Rend. Circ. Mat. Palermo (2), 72(3), 1739-1750. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Arenas, A. Garijo, S. Gómez Jiménez, J. Villadelprat.
A bifurcation analysis of the Microscopic Markov Chain Approach to contact-based epidemic spreading.
Chaos Solitons Fractals, 166, 112921. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Arenas, A. Garijo, S. Gómez Jiménez, J. Villadelprat.
On the number of stable solutions in the Kuramoto model.
Chaos, 33, 093127. 2023. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

M. Ascencio, E. Barrabés, J. M. Cors, C. Vidal.
Stability of equilibrium points in the spatially restricted N+1 -body problem with Manev potential.
SIAM J. Appl. Dyn. Syst., 22(4), 2732-2760. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Barkat, R. Benterki, J. Llibre.
The extended 16th Hilbert problem for a class of discontinuous piecewise differential systems.
Nonlinear Dynam., 111, 1475-1484. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. L. R. Bastos, C. A. Buzzi, J. Torregrosa.
Cyclicity near infinity in piecewise linear vector fields having a nonregular switching line.
Qual. Theory Dyn. Syst., 22(125), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Baymout, R. Benterki, J. Llibre.
Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(14), 2350166. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

I. Benabdallah, R. Benterki, J. Llibre.
The limit cycles of a class of piecewise differential systems.
Bol. Soc. Mat. Mexicana, 29, 62:1-45. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Benterki, J. Llibre.
On the limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves III.
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, 30, 35-77. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Benterki, J. Llibre.
Symmetric phase portraits of homogeneous polynomial Hamiltonian systems of degree 1, 2, 3, 4 and 5 with finitely many equilibria.
Symmetry (Basel), 15, 1476. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.
The discontinuous matching of two globally asymptotically stable crossing piecewise smooth systems in the plane do not produce in general a piecewise differential system globally asymptotically stable.
Sao Paulo J. Math. Sci., 17, 671-678. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Cairó, J. Llibre.
Phase portraits of the families VII and VIII of the quadratic systems.
Axioms, 2023(12), 756. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

B. Campos, J. Canela, P. Vindel.
Dynamics of Newton-like root finding methods.
Numer. Algor., 93(4), 1453-1480. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Canela, V. Evdoridou, A. Garijo, X. Jarque.
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub.
Math. Z., 303(55), 1-22. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Casimiro, J. Llibre.
Limit cycles of continuous piecewise smooth differential systems.
Results Math., 78(173), 14 pp. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Chen, L. Huang, J. Llibre.
Non-existence and uniqueness of limit cycles for a class of three-dimensional piecewise linear differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(6), 2350075 (13 pages). 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

T. Chen, J. Llibre.
Nilpotent bi-centers in continuous piecewise $Z_2$-equivariant cubic polynomial Hamiltonian vector field: cusp-cusp type.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(12), . 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

B. Coll, A. Gasull, R. Prohens.
Probability of existence of limit cycles for a family of planar systems.
J. Differential Equations, 373, 152-175. 2023. [DOI]
PreprintPreprintAbstractFull PDFPreprint at DDDUAB