Publicaciones en las que colabora con 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