ESPACIOS DE BANACH Y SISTEMAS DINÁMICOS
Universitat de Lleida
Lleida, EspañaPublicacions en col·laboració amb investigadors/es de Universitat de Lleida (21)
2024
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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
2023
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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
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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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
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Center conditions of a particular polynomial differential system with a nilpotent singularity
Journal of Mathematical Analysis and Applications, Vol. 483, Núm. 2
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Orbitally universal centers
Nonlinear Analysis, Theory, Methods and Applications, Vol. 195
2019
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Analytic integrability around a nilpotent singularity
Journal of Differential Equations, Vol. 267, Núm. 1, pp. 443-467
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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
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Nondegenerate and Nilpotent Centers for a Cubic System of Differential Equations
Qualitative theory of dynamical systems, Vol. 18, Núm. 1, pp. 333-345
2018
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Nondegenerate centers and limit cycles of cubic Kolmogorov systems
Nonlinear Dynamics, Vol. 91, Núm. 1, pp. 487-496
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The center problem for Z2-symmetric nilpotent vector fields
Journal of Mathematical Analysis and Applications, Vol. 466, Núm. 1, pp. 183-198
2016
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Analytic Integrability of Some Examples of Degenerate Planar Vector Fields
Acta Applicandae Mathematicae, Vol. 141, Núm. 1, pp. 1-15
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Analytic integrability inside a family of degenerate centers
Nonlinear Analysis: Real World Applications, Vol. 31, pp. 288-307
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Geometric Criterium in the Center Problem
Mediterranean Journal of Mathematics, Vol. 13, Núm. 5, pp. 2593-2611
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Nilpotent centres via inverse integrating factors
European Journal of Applied Mathematics, Vol. 27, Núm. 5, pp. 781-795
2014
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Analytic integrability for some degenerate planar vector fields
Journal of Differential Equations, Vol. 257, Núm. 2, pp. 549-565
2013
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Analytic integrability for some degenerate planar systems
Communications on Pure and Applied Analysis, Vol. 12, Núm. 6, pp. 2797-2809