Publications (146)

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2026

  1. Algebraic Integrability of Perturbations of Quadratic Vector Fields

    Mediterranean Journal of Mathematics, Vol. 23, Núm. 1

  2. Analytic invariant curves of planar analytic vector fields

    Journal of Differential Equations, Vol. 453

2025

  1. A new kind of T-point in the Lorenz system with a different bifurcation set

    Chaos, Solitons and Fractals, Vol. 199

  2. Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem

    Communications in Contemporary Mathematics, Vol. 27, Núm. 9

  3. Local analytic integrability for a class of degenerate planar vector fields

    Advanced Nonlinear Studies, Vol. 25, Núm. 3, pp. 921-934

2024

  1. A double-zero bifurcation in a Lorenz-like system

    Nonlinear Dynamics, Vol. 112, Núm. 3, pp. 2305-2330

  2. ANALYTICAL INTEGRABILITY OF PERTURBATIONS OF DEGENERATE QUADRATIC SYSTEMS

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

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

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

  4. Homoclinic behavior around a degenerate heteroclinic cycle in a Lorenz-like system

    Chaos, Solitons and Fractals, Vol. 186

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