Publications in collaboration with researchers from Universitat Autònoma de Barcelona (18)

2023

  1. Meromorphic first integrals of analytic diffeomorphisms

    Journal of Mathematical Analysis and Applications, Vol. 519, Núm. 1

2021

  1. Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps

    Advances in Mathematics, Vol. 389

2020

  1. On the Polynomial Solutions of the Polynomial Differential Equations y y′ = a 0(x) + a 1(x) y + a 2(x) y 2 + … + an(x) y n

    Indian Journal of Pure and Applied Mathematics, Vol. 51, Núm. 1, pp. 217-232

2018

  1. Invariant curves and integrability of planar cr differential systems

    Rocky Mountain Journal of Mathematics, Vol. 48, Núm. 5, pp. 1537-1550

2017

  1. Detection of Special Curves Via the Double Resultant

    Qualitative theory of dynamical systems, Vol. 16, Núm. 1, pp. 101-117

  2. Quantitative analysis of competition models

    Nonlinear Analysis: Real World Applications, Vol. 38, pp. 327-347

2015

  1. Seeking Darboux Polynomials

    Acta Applicandae Mathematicae, Vol. 139, Núm. 1, pp. 167-186

2014

  1. Cofactors and equilibria for polynomial vector fields

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 144, Núm. 4, pp. 753-760

2013

  1. Analytic integrability of the Bianchi class A cosmological models with 0 ≤ k < 1

    Chaos, Solitons and Fractals, Vol. 48, Núm. 1, pp. 12-21

  2. On the absence of analytic integrability of the Bianchi Class B cosmological models

    Chaos, Vol. 23, Núm. 1

  3. Polynomial vector fields in ℝ3 with infinitely many limit cycles

    International Journal of Bifurcation and Chaos, Vol. 23, Núm. 2

2012

  1. Analytic integrability of Bianchi class A cosmological models with k = 1

    Journal of Geometry and Physics, Vol. 62, Núm. 2, pp. 381-386

2010

  1. Polynomial inverse integrating factors for quadratic differential systems

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 73, Núm. 4, pp. 881-914

2009

  1. Phase portraits of the quadratic systems with a polynomial inverse integrating factor

    International Journal of Bifurcation and Chaos, Vol. 19, Núm. 3, pp. 765-783

2007

  1. Hyperbolic periodic orbits from the bifurcation of a four-dimensional nonlinear center

    International Journal of Bifurcation and Chaos, Vol. 17, Núm. 6, pp. 2159-2167

  2. On the remarkable values of the rational first integrals of polynomial vector fields

    Journal of Differential Equations, Vol. 241, Núm. 2, pp. 399-417

  3. Periodic orbits for a class of C 1 three-dimensional systems

    Rendiconti del Circolo Matematico di Palermo, Vol. 56, Núm. 1, pp. 101-115

  4. Polynomial inverse integrating factors for polynomial vector fields

    Discrete and Continuous Dynamical Systems