New Publications:

A. Gasull, H. Giacomini.   NEW 2020-06-29
Solving polynomials with ordinary differential equations.
Preprint. June, 2020.
 [Preprint] [Abstract]

T. Carvalho, L. F. Gonçalves, J. Llibre.   NEW 2020-06-29
Limit cycles on piecewise smooth vector fields with coupled rigid centers.
Preprint. June, 2020.
 [Abstract]

J. Llibre, M. Messias, A. C. Reinol.   NEW 2020-06-29
Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator.
J. Dyn. Control Syst., 2020. [DOI]
 [Preprint] [Abstract]

A. Nurtay, M. G. Hennessy, Ll. Alsedà, S. F. Elena, J. Sardanyés.   NEW 2020-06-29
Host-virus evolutionary dynamics with specialist and generalist infection strategies: bifurcations, bistability, and chaos.
Chaos, 30(5), 053128:1-17, 2020. [DOI]
 [Abstract]

C. A. Buzzi, J. Llibre, P. Santana.   NEW 2020-06-29
Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates.
Preprint. June, 2020.
 [Abstract]

E. Diz Pita, J. Llibre, M. V. Otero Espinar, C. Valls.   NEW 2020-06-29
The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in $R^3$.
Preprint. June, 2020.
 [Abstract]

I. Sánchez Sánchez, J. Torregrosa.   NEW 2020-06-28
Criticality via first order development of the period constants.
Preprint. June, 2020.
 [Abstract]

J. Llibre, V. F. Sirvent.   NEW 2020-06-15
Entropy and periods for continuous graph maps.
Preprint. June, 2020.
 [Abstract]

F. Gao, J. Llibre.   NEW 2020-06-15
Global dynamics of the Horava-Lifshitz cosmological model in a non-flat universe with non-zero cosmological constant.
Preprint. June, 2020.
 [Abstract]

A. M. Benini, V. Evdoridou, N. Fagella, P. J. Rippon, G. M. Stallard.   NEW 2020-06-15
Classifying simply connected wandering domains.
Preprint. June, 2020.
 [Preprint] [Abstract]

A. M. Benini, N. Fagella.   NEW 2020-06-15
A bound on the number of rationally invisible repelling orbits.
Adv. Math., 370, 107214:1-28, 2020. [DOI]
 [Preprint] [Abstract]

J. Giné, J. Llibre.   NEW 2020-06-15
A new sufficient condition in order that the real jacobian conjecture in $R^2$ holds.
Preprint. June, 2020.
 [Abstract]

L. Gardini, A. Garijo, X. Jarque.   NEW 2020-06-15
Topological properties of the immediate basins of attraction for the secant method.
Preprint. June, 2020.
 [Preprint] [Abstract]

J. Llibre, Y. Tian.   NEW 2020-06-02
Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces.
Preprint. June, 2020.
 [Abstract]

E. Diz Pita, J. Llibre, M. V. Otero Espinar.   NEW 2020-06-02
Phase portraits of a family of Kolmogorov systems depending on six parameters.
Preprint. June, 2020.
 [Abstract]

J. Llibre, W. F. Pereira, C. Pessoa.   NEW 2020-06-02
Phase portraits of Bernoulli quadratic polynomial differential systems.
Electron. J. Differential Equations, 2020(48), 1-19, 2020.
 [Preprint] [Abstract]

C. A. Buzzi, J. Llibre, P. Santana.   NEW 2020-06-02
Phase portraits of (2;0) reversible vector fields with symmetrical singularities.
Preprint. June, 2020.
 [Abstract]

A. Gasull.   NEW 2020-05-26
Conjectures.
Preprint. May, 2020.
 [Preprint] [Abstract]

J. Huang, J. Torregrosa, J. Villadelprat.   NEW 2020-05-22
On the number of limit cycles in generalized Abel equations.
Preprint. May, 2020.
 [Abstract]

D. Rojas, P. J. Torres.   NEW 2020-05-21
Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity.
Preprint. May, 2020.
 [Preprint] [Abstract]

D. Marín, J. Villadelprat.   NEW 2020-05-20
Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting.
Preprint. May, 2020.
 [Preprint] [Abstract]

J. L. R. Bastos, C. A. Buzzi, J. Torregrosa.   NEW 2020-05-12
Factor reversible systems with applications to planar centers.
Preprint. May, 2020.
 [Abstract]

E. Freire, E. Ponce, J. Torregrosa, F. Torres.   NEW 2020-05-09
Limit cycles from a monodromic infinity in planar piecewise linear systems.
Preprint. May, 2020.
 [Abstract]

J. Llibre, Y. P. Martinez Mancilla, C. Valls.   NEW 2020-05-08
Global dynamics of a Lotka-Volterra system in $R^3$.
J. Nonlinear Math. Phys., 27(3), 509-519, 2020. [DOI]
 [Preprint] [Abstract]

A. Caicedo, J. Llibre, C. Vidal.   NEW 2020-05-08
Polynomial and rational first integrals for non-autonomous polynomial hamiltonian systems.
Preprint. May, 2020.
 [Abstract]

M. E. Anacleto, J. Llibre, C. Valls, C. Vidal.   NEW 2020-04-27
Limit cycles of discontinuous piecewise differential systems formed by linear centers in $R^2$ and separated by two circles.
Preprint. April, 2020.
 [Abstract]

J. J. Jimenez Ruiz, J. Llibre, J. C. Medrado.   NEW 2020-04-27
On the crossing limit cycles for piecewise linear differential systems separated by a straight line and having symmetric equilibrium points.
Preprint. April, 2020.
 [Abstract]

R. Benterki, L. Damene, J. Llibre.   NEW 2020-04-27
The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II.
Preprint. April, 2020.
 [Abstract]

J. Giné, J. Llibre.   NEW 2020-04-21
Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in $C^2$.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 30(4), 2050064:1-7, 2020. [DOI]
 [Preprint] [Abstract]

I. Sánchez Sánchez, J. Torregrosa.   NEW 2020-04-15
New lower bounds of the number of critical periods in reversible centers.
Preprint. April, 2020.
 [Abstract]

T. Li, J. Llibre.   NEW 2020-04-15
On the 16-th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems.
Preprint. April, 2020.
 [Abstract]

A. Belfar, R. Benterki, J. Llibre.   NEW 2020-04-15
Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibrium points and separated by irreducible cubics.
Preprint. April, 2020.
 [Abstract]

E. Diz Pita.   NEW 2020-04-07
Modelos matemáticos en àmbitos STEAM.
In Jornadas para el Aprendizaje y la Enseñanza de las Matemáticas, 2019.
 [Abstract] [Full PDF]

E. Diz Pita.   NEW 2020-04-07
Ecuaciones en diferencias para combatir el virus del Zika.
In XL Reunión de Educación Matemática (I Encuentro Conjunto RSME-UMA), 2017.
 [Abstract] [Full PDF]

Ll. Alsedà, M. Misiurewicz, R. A. Pérez.   NEW 2020-04-07
Flexibility of entropies for piecewise expanding unimodal maps.
Preprint. April, 2020.
 [Preprint] [Abstract]

J. Llibre, V. F. Sirvent.   NEW 2020-04-07
Periodic structure of transversal maps on sum-free products of spheres.
J. Difference Equ. Appl., 25(5), 619-629, 2020. [DOI]
 [Preprint] [Abstract]

T. Chen, S. Li, J. Llibre.   NEW 2020-04-07
Z2-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields.
J. Differential Equations, 269, 832-861, 2020. [DOI]
 [Preprint] [Abstract]

B. Campos, J. Canela, A. Garijo, P. Vindel.   NEW 2020-04-07
Dynamics of a family of rational operators of arbitrary degree.
Preprint. April, 2020.
 [Preprint] [Abstract]

K. Banerjee, X. Buff, J. Canela, A. Epstein.   NEW 2020-04-07
Tips of tongues in the double standard family.
Preprint. April, 2020.
 [Preprint] [Abstract]

C. Cufí-Cabré, J. Llibre.   NEW 2020-04-07
Minimal sets of Lefschetz periods of the Morse-Smale diffeomorphisms on $S^n$ and $S^m x S^n$.
Preprint. April, 2020.
 [Abstract]

J. Llibre, C. Valls.   NEW 2020-04-07
The Markus-Yamabe conjecture for discontinuous piecewise linear differential systems in $R^n$ separated by a conic x $R^{n-2}$.
Preprint. April, 2020.
 [Abstract]

J. Llibre, C. Pantazi.   NEW 2020-04-07
Qualitative study of a model with Rastall gravity.
Preprint. April, 2020.
 [Abstract]

J. Llibre, C. Pantazi.   NEW 2020-04-07
Global phase portraits of the quadratic systems having a singular and irreducible invariant curve of degree 3.
Preprint. April, 2020.
 [Abstract]

H. He, J. Llibre, D. Xiao.   NEW 2020-04-07
Hamiltonian polynomial differential systems with global centers in R2.
Preprint. April, 2020.
 [Abstract]

A. Korobeinikov, M. Caubergh, J. T. Lázaro, J. Sardanyés.   NEW 2020-03-26
Extended Abstracts Spring 2018 (Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications).
Birhäuser, 2019.
 [Abstract]

J. Ginoux, J. Llibre, K. Tchizawa.   NEW 2020-03-26
Canards existence in the Hindmarsh-Rose model.
In Research Perspectives CRM Barcelona, Summer 2018, 169-175. Springer, 2019. [DOI]
 [Preprint] [Abstract]

L. F. d. S. Gouveia, J. Torregrosa.   NEW 2020-03-24
The local cyclicity problem. Melnikov method using Lyapunov constants.
Preprint. March, 2020.
 [Abstract]

A. Garijo, H. Jang, S. M. Marotta.   NEW 2020-03-24
Generalized rings around the McMullen domain.
Qual. Theory Dyn. Syst., 18, 233-264, 2019. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Llibre.   NEW 2020-03-24
Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line.
Bul. Acad. Ştiinţe Repub. Mold. Mat., 2, 3-12, 2019.
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Llibre, C. Valls.   NEW 2020-03-24
Phase portraits of uniform isochronous centers with homogeneous nonlinearities.
Preprint. March, 2020.
 [Abstract]

M. R. Cândido, J. Llibre, C. Valls.   NEW 2020-03-24
Non-existence, existence, and uniqueness of limit cycles for a generalization of the Van der Pol-Duffing and the Rayleigh-Duffing oscilators.
Phys. D, 407, 132458:1-4, 2020. [DOI]
 [Preprint] [Abstract] [Preprint at DDDUAB]

J. Llibre, Y. P. Martinez Mancilla, C. Valls.   NEW 2020-03-24
Limit cycles bifurcating of Kolmogorov systems in $R^2$ and in $R^3$.
Preprint. March, 2020.
 [Abstract]

J. Ginoux, J. Llibre, C. Valls.   NEW 2020-03-24
Dynamics and Darboux integrability of the $D_2$ polynomial vector fields of degree 2 in $R^3$.
Preprint. March, 2020.
 [Abstract]

A. Buica, A. Gasull.   NEW 2020-03-24
Many periodic solutions for a second order cubic periodic differential equation.
To appear in Monatsh. Math.
 [Preprint] [Abstract]

L. F. d. S. Gouveia, J. Torregrosa.   NEW 2020-03-18
Local cyclicity in low degree planar piecewise polynomial vector fields.
Preprint. March, 2020.
 [Abstract]