New Publications:

W. Aziz, A. Amen, C. Pantazi.   NEW 2021-02-19
Integrability and linearizability of a family of three-dimensional quadratic systems.
To appear in Dyn. Syst.
 [Preprint] [Preprint]

C. Liu, C. Li, J. Llibre.   NEW 2021-02-19
The cyclicity of the period annulus of a reversible quadratic system.
Proc. Roy. Soc. Edinburgh Sect. A, 1-10, 2021. [DOI] (Published online)
 [Preprint] [Abstract]

C. A. Buzzi, A. L. Rodero, J. Torregrosa.   NEW 2021-02-10
Centers and limit cycles of vector fields defined on invariant spheres.
Preprint. February, 2021.
 [Abstract]

J. Canela, X. Jarque, D. A. Paraschiv.   NEW 2021-01-31
Achievable connectivities of Fatou components for a family of singular perturbations.
Preprint. January, 2021.
 [Preprint] [Abstract]

D. Marín, M. Saavedra, J. Villadelprat.   NEW 2021-01-31
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centers.
Preprint. January, 2021.
 [Preprint] [Abstract]

X. Chen, T. Li, J. Llibre.   NEW 2021-01-29
Melnikov functions of arbitrary order for piecewise smooth differential systems in $R^n$ and applications.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-25
Dynamics of a class of 3-dimensional Lotka-Volterra systems.
Preprint. January, 2021.
 [Abstract]

R. Benterki, J. Jimenez, J. Llibre.   NEW 2021-01-25
Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-25
Polynomial differential systems with hyperbolic limit cycles.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-25
Polynomial differential systems with invariant algebraic curves of arbitrary degree formed by Legendre polynomials.
Preprint. January, 2021.
 [Abstract]

J. Ginoux, D. Lebiedz, J. Llibre.   NEW 2021-01-25
Flow curvature manifold and energy of generalized Liénard systems.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-25
On the distribution of the zeros of some polynomial maps $( P, Q, R): R^3 \to R^3$.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-25
On the distribution of the zeros of some polynomial maps $( P, Q): R^2 \to R^2$.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-18
Phase portraits of the complex Abel polynomial differential systems.
Preprint. January, 2021.
 [Abstract]

C. Cufí-Cabré, J. Llibre.   NEW 2021-01-14
Periods of the Morse-Smale diffeomorphisms on $S^n$ and $S^m \times S^n$ and $HP^n$.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-13
Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term.
Preprint. January, 2021.
 [Abstract]

A. Gasull, H. Giacomini.   NEW 2021-01-13
Effectiveness of the Bendixon-Dulac theorem.
Preprint. January, 2021.
 [Preprint] [Abstract]

M. Ollé, Ò. Rodríguez, J. Soler.   NEW 2021-01-13
Transit regions and ejection/collision orbits in the RTBP.
Commun. Nonlinear Sci. Numer. Simul., 94, 105550, 2021. [DOI]
 [Preprint] [Abstract]

D. Marín, J. Villadelprat.   NEW 2020-12-23
Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: coefficient properties.
Preprint. December, 2020.
 [Preprint] [Abstract]

P. Yuan, J. Llibre.   NEW 2020-12-22
Tangential trapezoid central configurations.
Regul. Chaotic Dyn., 25(6), 651-661, 2020. [DOI]
 [Preprint] [Abstract]

Q. Zaldo-Aubanell, I. Serra, J. Sardanyés, Ll. Alsedà, R. Maneja.   NEW 2020-12-22
Reviewing the reliability of Land Use and Land Cover Data in studies relating human health to the environment.
Environmental Research, 194, 110578, 2021. [DOI]
 [Abstract]

J. M. Cors, J. F. Palacián, P. Yanguas.   NEW 2020-12-22
On co-orbital quasi-periodic motion in the three-body problem.
SIAM J. Appl. Dyn. Syst., 18(1), 334-353, 2019. [DOI]
 [Preprint] [Abstract]

M. Corbera, J. M. Cors, G. E. Roberts.   NEW 2020-12-22
Classify four-body convex central configurations.
Celestial Mech. Dynam. Astronom., 131(34), 1-27, 2019. [DOI]
 [Preprint] [Abstract]

Ll. Alsedà, B. Vidiella, R. Solé, J. T. Lázaro, J. Sardanyés.   NEW 2020-12-22
Dynamics in a time-discrete food-chain model with strong pressure on preys.
Commun. Nonlinear Sci. Numer. Simul., 84, 105187:1-26, 2020. [DOI]
 [Abstract]

Ll. Alsedà, S. Borrós.   NEW 2020-12-09
An algorithm to compute rotation numbers in the circle.
Preprint. December, 2020.
 [Preprint] [Abstract]

J. Llibre.   NEW 2020-12-07
Central configurations of the circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem.
Preprint. December, 2020.
 [Abstract]

B. Ghermoul, J. Llibre, T. Salhi.   NEW 2020-12-07
Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I.
Preprint. December, 2020.
 [Abstract]

C. A. Buzzi, J. Llibre, P. Santana.   NEW 2020-12-07
Phase portraits of (2;1) reversible vector fields of low codimension.
Preprint. December, 2020.
 [Abstract]

A. Gasull.   NEW 2020-12-06
Some open problems in low dimensional dynamical systems.
To appear in SeMA J.
 [Preprint] [Abstract]

R. Huzak, D. Rojas.   NEW 2020-11-18
Period function of planar turning points.
To appear in Electron. J. Qual. Theo.
 [Preprint] [Abstract]

J. Llibre, T. Salhi.   NEW 2020-11-18
Phase portraits of a SIR epidemic model.
Preprint. November, 2020.
 [Abstract]

M. Esteban, J. Llibre, C. Valls.   NEW 2020-11-18
The extended 16-th Hilbert problem for discontinuous piecewise linear centers separated by a non-regular line.
Preprint. 2020.
 [Abstract]

M. Ollé, Ò. Rodríguez, J. Soler.   NEW 2020-11-18
Analytical and numerical results on families of n-ejection-collision orbits in the RTBP.
Commun. Nonlinear Sci. Numer. Simul., 90, 105294, 27 pp., 2020. [DOI]
 [Preprint] [Abstract]

D. A. Paraschiv.   NEW 2020-11-17
A rational family of singular perturbations. the trichotomy theorem.
Masters thesis, Universitat de Barcelona, Barcelona, June, 2017.
 [Full PDF]

C. A. B. Rodrigues.   NEW 2020-11-05
Invariant curves on differential systems defined in $R^n, n\geq 2$.
PhD thesis, Universidade de São Paulo, 2018.
 [Full PDF]

J. Llibre, M. Messias, A. C. Reinol.   NEW 2020-11-05
Zero-Hopf bifurcations in three-dimensional chaotic systems with one stable equilibrium.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 30(12), 2050189, 2020. [DOI]
 [Preprint] [Abstract]

J. J. Jimenez Ruiz.   NEW 2020-11-05
On the crossing limit cycles for piecewise linear differential systems on the plane.
PhD thesis, Universidade Federal de Goiás, Instituto de Matemática e Estatística, October, 2020.
 [Full PDF]

J. Llibre.   NEW 2020-11-05
Limit cycles of planar continuous piecewise differential systems separated by a parabola and formed by an arbitrary linear and quadratic centers.
Preprint. October, 2020.
 [Abstract]

A. Ferragut, A. Gasull, X. Zhang.   NEW 2020-11-05
Meromorphic first integrals of analytic diffeomorphisms.
Preprint. October, 2020.
 [Preprint] [Abstract]