New Publications

D. Marín, J. Villadelprat.   NEW 2021-09-17
The criticality of reversible quadratic centers at the outer boundary of its period annulus.
Preprint. September, 2021.
 [Abstract]

J. C. Avila, M. Corbera, M. Frías-Armenta.   NEW 2021-09-13
Configuration of zeros of isochronous vector fields of degree $5$.
Preprint. September, 2021.
 [Abstract]

M. Corbera, C. Valls.   NEW 2021-09-13
On the existence of symmetric bicircular central configurations of the $3n$-body problem.
To appear in J. Nonlinear Sci.
 [Preprint] [Abstract]

J. Llibre, C. Valls.   NEW 2021-09-13
The extended 16-th Hilbert problem for discontinuous piecewise systems formed by linear centers and linear Hamiltonian saddles separated by a non-regular line.
Preprint. September, 2021.
 [Abstract]

J. C. Artés, M. C. Mota, A. C. Rezende.   NEW 2021-09-13
Quadratic differential systems with a finite Saddle-Node and an infinite Saddle- Node (1,1) SN-(B).
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 31(9), 2130026:1-110, 2021. [DOI]
 [Preprint] [Abstract]

M. E. Anacleto, J. Llibre, C. Valls, C. Vidal.   NEW 2021-09-13
Crossing limit cycles for discontinuous piecewise linear differential centers separated by three parallel straight lines.
Preprint. September, 2021.
 [Abstract]

B. García, J. Llibre, J. S. Pérez del Río, S. Pérez-González.   NEW 2021-08-30
On the limit cycles of some planar discontinuous piecewise linear differential systems with polynomial first integrals.
Preprint. August, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-07-30
The phase portrait of all polynomial Liénard isochronous centers.
Preprint. July, 2021.
 [Abstract]

J. Llibre, D. Pasca, C. Valls.   NEW 2021-07-30
The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem.
Preprint. July, 2021.
 [Abstract]

Ll. Alsedà, D. Juher, F. Mañosas.   NEW 2021-07-23
Forward triplets and topological entropy on trees.
To appear in Discrete Contin. Dyn. Syst.
 [Preprint] [Abstract]

E. Diz Pita, J. Llibre, M. V. Otero Espinar.   NEW 2021-07-13
Planar Kolmogorov systems with infinitely many singular points at infinity.
Preprint. July, 2021.
 [Abstract]

M. Álvarez-Ramírez, J. Llibre.   NEW 2021-07-09
Convex equilateral pentagon central configurations.
Preprint. July, 2021.
 [Abstract]

E. Diz Pita, J. Llibre, M. V. Otero Espinar.   NEW 2021-07-07
Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinty.
Preprint. July, 2021.
 [Abstract]

J. Canela, V. Evdoridou, A. Garijo, X. Jarque.   NEW 2021-06-22
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub.
Preprint. June, 2021.
 [Preprint] [Abstract]

A. Gasull.   NEW 2021-06-22
Los babilonios y Newton.
To appear in Gac. R. Soc. Mat. Esp.
 [Preprint]

À. Haro, J. M. Mondelo.   NEW 2021-06-21
Flow map parameterization methods for invariant tori in Hamiltonian systems.
Commun. Nonlinear Sci. Numer. Simul., 101, 105859:1-34, 2021. [DOI]
 [Abstract]

R. Benterki, J. Llibre.   NEW 2021-06-17
On the limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves iII.
Preprint. June, 2021.
 [Abstract]

J. Llibre.   NEW 2021-06-14
A note on the polynomial rigid global centers.
Preprint. June, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-06-01
The 16th Hilbert problem for discontinuous piecewise linear hamiltonian saddles and isochronous centers of degree two separated by a straight line.
Preprint. June, 2021.
 [Abstract]

J. L. Cornelio Soberano, M. Álvarez-Ramírez, J. M. Cors.   NEW 2021-05-26
Central configurations in the five-Body problem: Rhombus plus one.
Qual. Theory Dyn. Syst., 20, 51:1-13, 2021. [DOI]
 [Preprint] [Abstract]

J. Llibre, J. R. Moraes.   NEW 2021-05-26
Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers.
To appear in Sao Paulo J. Math. Sci.
 [Preprint] [Abstract]