Publications dans lesquelles il/elle collabore avec Cristóbal García García (68)

2024

  1. ANALYTICAL INTEGRABILITY OF PERTURBATIONS OF DEGENERATE QUADRATIC SYSTEMS

    Journal of Applied Analysis and Computation, Vol. 14, Núm. 2, pp. 864-885

  2. Center conditions to find certain degenerate centers with characteristic directions

    Mathematics and Computers in Simulation, Vol. 215, pp. 628-638

2023

  1. Analytic partial-integrability of a symmetric Hopf-zero degeneracy

    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 153, Núm. 3, pp. 833-852

  2. Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 234

2022

  1. Center problem for generic degenerate vector fields

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 214

2021

  1. A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

    Mediterranean Journal of Mathematics, Vol. 18, Núm. 5

  2. Algebraic integrability of nilpotent planar vector fields

    Chaos, Solitons and Fractals, Vol. 145

  3. Analytical Integrability of Perturbations of Quadratic Systems

    Mediterranean Journal of Mathematics, Vol. 18, Núm. 1

  4. Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems

    Qualitative theory of dynamical systems, Vol. 20, Núm. 2

  5. Characterizing Orbital-Reversibility Through Normal Forms

    Qualitative theory of dynamical systems, Vol. 20, Núm. 2

  6. On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier

    Applied Mathematics and Computation, Vol. 405

  7. Orbital hypernormal forms

    Symmetry, Vol. 13, Núm. 8

  8. Orbital reversibility of planar vector fields

    Mathematics, Vol. 9, Núm. 1, pp. 1-25

2020

  1. Analytic integrability around a nilpotent singularity: The non-generic case

    Communications on Pure and Applied Analysis, Vol. 19, Núm. 1, pp. 407-423

  2. Center conditions of a particular polynomial differential system with a nilpotent singularity

    Journal of Mathematical Analysis and Applications, Vol. 483, Núm. 2

  3. Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh–Nagumo system

    Applied Mathematics and Computation, Vol. 369

  4. Orbitally universal centers

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 195

  5. Quasi-homogeneous linearization of degenerate vector fields

    Journal of Mathematical Analysis and Applications, Vol. 483, Núm. 2

2019

  1. Analytic integrability around a nilpotent singularity

    Journal of Differential Equations, Vol. 267, Núm. 1, pp. 443-467

  2. Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor

    Communications in Nonlinear Science and Numerical Simulation, Vol. 71, pp. 130-140