Publicacións (147)

2024

  1. 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

  2. Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system

    Communications in Nonlinear Science and Numerical Simulation, Vol. 111

  3. Study of a homoclinic canard explosion from a degenerate center

    Applied Mathematics Letters, Vol. 132

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. Asymptotic expansions for a degenerate canard explosion

    Physica D: Nonlinear Phenomena, Vol. 418

  6. Characterizing Orbital-Reversibility Through Normal Forms

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

  7. High-order approximation of heteroclinic bifurcations in truncated 2d-normal forms for the generic cases of hopf-zero and nonresonant double hopf singularities

    SIAM Journal on Applied Dynamical Systems, Vol. 20, Núm. 1, pp. 403-437

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

    Applied Mathematics and Computation, Vol. 405

  9. Orbital hypernormal forms

    Symmetry, Vol. 13, Núm. 8

  10. 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. Analytical approximation of cuspidal loops using a nonlinear time transformation method

    Applied Mathematics and Computation, Vol. 373

  3. Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method

    Physica D: Nonlinear Phenomena, Vol. 406

  4. Asymptotic expansions for a family of non-generic canards using parametric representation

    Applied Mathematics Letters, Vol. 106