New Publications:

J. Llibre, V. F. Sirvent.   NEW 2020-10-21
Periodic structure of the transversal maps on surfaces.
Preprint. October, 2020.
 [Abstract]

J. Llibre, Y. P. Martinez Mancilla, C. Vidal.   NEW 2020-10-21
Limit cycles of a perturbation of a polynomial Hamiltonian systems of degree 4 symmetric with respect to the origin.
Preprint. October, 2020.
 [Abstract]

O. A. R. Cespedes, J. Llibre.   NEW 2020-10-21
Zero-Hopf bifurcation in a modified van der pol-Duffing oscillator.
Preprint. October, 2020.
 [Abstract]

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.   NEW 2020-10-21
Abel quadratic differential systems of second kind.
Preprint. October, 2020.
 [Abstract]

C. Cufí-Cabré, E. Fontich.   NEW 2020-10-06
Differentiable invariant manifolds of nilpotent parabolic points.
Preprint. October, 2020.
 [Preprint] [Abstract]

J. Llibre, C. Valls.   NEW 2020-09-23
Phase portraits of the complex Riccati equation with constant coefficients.
Preprint. September, 2020.
 [Abstract]

J. Llibre, C. Valls.   NEW 2020-09-21
The improved Euler-Jacobi formula and the planar cubic polynomial vector fields in $R^2$.
Preprint. September, 2020.
 [Abstract]

M. R. A. Gouveia, J. Llibre, L. A. Roberto.   NEW 2020-09-21
Phase portraits of a family of Hamiltonian cubic systems.
Preprint. September, 2020.
 [Abstract]

A. Gasull.   NEW 2020-09-21
Polinomios estables.
To appear in Gac. R. Soc. Mat. Esp.
 [Preprint]

C. A. Buzzi, Y. R. Carvalho, A. Gasull.   NEW 2020-08-18
Limit cycles for some families of smooth and non-smooth planar systems.
Preprint. August, 2020.
 [Preprint] [Abstract]

J. Llibre, B. D. Lopes, P. R. Silva.   NEW 2020-08-17
Phase portraits of the Riccati quadratic polynomial differential system.
Preprint. August, 2020.
 [Preprint] [Abstract]

A. A. Rabia, J. Llibre, A. Makhlouf.   NEW 2020-08-11
Periodic solutions for two classes of Duffing differential equations via averaging theory.
Preprint. August, 2020.
 [Abstract]

C. A. Buzzi, Y. R. Carvalho, A. Gasull.   NEW 2020-08-07
The local period function for Hamiltonian systems with applications.
Preprint. August, 2020.
 [Preprint] [Abstract]

D. Juher, D. Rojas, J. Saldaña.   NEW 2020-07-31
Robustness of behaviourally-induced oscillations in epidemic models under a low rate of imported cases.
To appear in PHYS REV E.
 [Preprint] [Abstract]

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.   NEW 2020-07-31
Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point.
Rend. Circ. Mat. Palermo (2), 2020. [DOI] (Published Online)
 [Preprint] [Abstract] [Preprint at DDDUAB]

T. Li, J. Llibre.   NEW 2020-07-30
Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems.
Preprint. July, 2020.
 [Abstract]

J. Llibre, T. Saeed, E. E. Zotos.   NEW 2020-07-30
Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system.
Preprint. July, 2020.
 [Abstract]

J. Llibre, Y. Tian.   NEW 2020-07-30
The zero-Hopf bifurcations of a four-dimensional hyperchaotic system.
Preprint. July, 2020.
 [Abstract]

J. Llibre, O. Ramírez.   NEW 2020-07-30
Polynomial differential systems with invariant algebraic curves of arbitrarily high degree.
Preprint. July, 2020.
 [Abstract]

M. Esteban, J. Llibre, C. Valls.   NEW 2020-07-30
The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line.
Preprint. July, 2020.
 [Abstract]

T. Li, J. Llibre.   NEW 2020-07-30
Limit cycles of piecewise polynomial differential systems with the discontinuity line xy=0.
Preprint. July, 2020.
 [Abstract]

J. Llibre, C. Valls.   NEW 2020-07-30
Twin quadratic polynomial vector fields in the space $C^3$.
Preprint. July, 2020.
 [Abstract]

R. Benterki, J. Llibre.   NEW 2020-07-27
Zero-Hopf bifurcation in a malaria model.
Preprint. July, 2020.
 [Abstract]

J. Llibre, C. Valls.   NEW 2020-07-27
Twin polynomial vector fields of arbitrary degree.
Preprint. July, 2020.
 [Abstract]

P. Mardesic, D. Marín, J. Villadelprat.   NEW 2020-07-27
Bifurcations of zeros in translated families of functions and applications.
To appear in J. Dyn. Control Syst.
 [Preprint] [Abstract]

S. Kassa, J. Llibre, A. Makhlouf.   NEW 2020-07-27
N-dimensional zero-Hopf bifurcation of polynomial differential systems via averaging theory of second order.
J. Dyn. Control Syst., 2020. [DOI] (Published Online)
 [Preprint] [Abstract] [Preprint at DDDUAB]

B. García, J. Llibre, A. Lombardero, J. S. Pérez del Río.   NEW 2020-07-27
Analytic integrability of quasi-homogeneous systems via the Yoshida method.
Preprint. July, 2020.
 [Abstract]

T. Li, J. Llibre.   NEW 2020-07-27
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary.
Preprint. July, 2020.
 [Abstract]

J. Llibre, R. O. Ramírez, V. Ramírez.   NEW 2020-07-27
The center problem for the class of $\lambda$-$\Omega$ differential systems.
Preprint. July, 2020.
 [Abstract]

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]
 [Abstract] [Preprint at DDDUAB]

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.
Phys. D, 413, 132673 (9 pages), 2020. (Published online)
 [Preprint] [Abstract] [Preprint at DDDUAB]

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]