ESPACIOS DE BANACH Y SISTEMAS DINÁMICOS
Publications (136) Publications in which a researcher has participated
2024
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A double-zero bifurcation in a Lorenz-like system
Nonlinear Dynamics, Vol. 112, Núm. 3, pp. 2305-2330
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ANALYTICAL INTEGRABILITY OF PERTURBATIONS OF DEGENERATE QUADRATIC SYSTEMS
Journal of Applied Analysis and Computation, Vol. 14, Núm. 2, pp. 864-885
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Center conditions to find certain degenerate centers with characteristic directions
Mathematics and Computers in Simulation, Vol. 215, pp. 628-638
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Homoclinic behavior around a degenerate heteroclinic cycle in a Lorenz-like system
Chaos, Solitons and Fractals, Vol. 186
2023
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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
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Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system
Nonlinear Analysis, Theory, Methods and Applications, Vol. 234
2022
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Center problem for generic degenerate vector fields
Nonlinear Analysis, Theory, Methods and Applications, Vol. 214
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Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system
Communications in Nonlinear Science and Numerical Simulation, Vol. 111
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Study of a homoclinic canard explosion from a degenerate center
Applied Mathematics Letters, Vol. 132
2021
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A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields
Mediterranean Journal of Mathematics, Vol. 18, Núm. 5
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Algebraic integrability of nilpotent planar vector fields
Chaos, Solitons and Fractals, Vol. 145
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Analytical Integrability of Perturbations of Quadratic Systems
Mediterranean Journal of Mathematics, Vol. 18, Núm. 1
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Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems
Qualitative theory of dynamical systems, Vol. 20, Núm. 2
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Asymptotic expansions for a degenerate canard explosion
Physica D: Nonlinear Phenomena, Vol. 418
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Characterizing Orbital-Reversibility Through Normal Forms
Qualitative theory of dynamical systems, Vol. 20, Núm. 2
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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
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On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier
Applied Mathematics and Computation, Vol. 405
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Orbital hypernormal forms
Symmetry, Vol. 13, Núm. 8
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Orbital reversibility of planar vector fields
Mathematics, Vol. 9, Núm. 1, pp. 1-25
2020
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Analytic integrability around a nilpotent singularity: The non-generic case
Communications on Pure and Applied Analysis, Vol. 19, Núm. 1, pp. 407-423