New Publications

A. Gasull.   NEW 2021-04-15
Quasi tots els camins porten a un capicua.
Semagames, 130, 17-18, 2021.
 [Preprint] [Full PDF]

T. Chen, S. Li, J. Llibre.   NEW 2021-04-15
Nilpotent bi-center in continuous piecewise $Z_2$-equivariant cubic polynomial Hamiltonian systems (I).
Preprint. 2021.
 [Abstract]

Z. Diab, J. L. G. Guirao, J. Llibre, A. Makhlouf.   NEW 2021-04-15
Limit cycles of a generalized Mathieu differential system.
Preprint. April, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-04-15
Dynamics of the szekeres system.
Preprint. April, 2021.
 [Abstract]

R. D. S. Oliveira, I. Sánchez Sánchez, J. Torregrosa.   NEW 2021-04-14
Simultaneous bifurcation of limit cycles and critical periods.
Preprint. April, 2021.
 [Abstract]

J. Itikawa, R. D. S. Oliveira, J. Torregrosa.   NEW 2021-04-09
First-order perturbation for multi-parameter center families.
Preprint. April, 2021.
 [Abstract]

J. L. R. Bastos, C. A. Buzzi, J. Torregrosa.   NEW 2021-03-29
Orbitally symmetric systems with applications to planar centers.
Preprint. March, 2021.
 [Abstract]

D. d. C. Braga, J. Llibre, L. F. Mello.   NEW 2021-03-12
Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones.
Preprint. March, 2021.
 [Preprint] [Abstract]

A. Gasull, A. Geyer, V. Mañosa.   NEW 2021-03-12
Persistence of periodic traveling waves and Abelian integrals.
Preprint. March, 2021.
 [Preprint] [Abstract]

R. Colucci, E. Diz Pita, M. V. Otero Espinar.   NEW 2021-03-12
Dynamics of a two prey and one predator system with indirect effect.
Mathematics, 9, 436:1-22, 2021. [DOI]
 [Abstract] [Full PDF]

K. Dias, A. Garijo.   NEW 2021-03-12
On the separatrix graph of a rational vector field on the Riemann sphere.
J. Differential Equations, 282, 541-565, 2021. [DOI]
 [Preprint] [Abstract]

J. Llibre, C. Valls.   NEW 2021-03-12
Polynomial differential systems with even degree have no global centers.
Preprint. March, 2021.
 [Abstract]

S. Kassa, J. Llibre, A. Makhlouf.   NEW 2021-03-12
Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system.
Sao Paulo J. Math. Sci., 8 pp., 2021. [DOI]
 [Preprint] [Abstract]

J. C. Artés, R. D. S. Oliveira, A. C. Rezende.   NEW 2021-03-12
Structurally unstable quadratic vector fields of codimension two: families possessing either a cusp point or two finite saddle-nodes.
J. Dyn. Diff. Equat., 2020. [DOI]
 [Preprint] [Abstract]

J. Llibre.   NEW 2021-03-12
On the Abel differential equations and the polynomial differential systems.
Preprint. March, 2021.
 [Abstract]

I. Sánchez Sánchez, J. Torregrosa.   NEW 2021-02-24
Hopf bifurcation in 3-dimensional polynomial vector fields.
Preprint. February, 2021.
 [Abstract]

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] [Preprint at DDDUAB]

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] [Preprint at DDDUAB]

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] [Preprint at DDDUAB]

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] [Preprint at DDDUAB]

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]