MANUEL
REYES COLUME
PROFESOR TITULAR DE UNIVERSIDAD
Cristóbal
García García
Publications by the researcher in collaboration with Cristóbal García García (25)
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
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
2021
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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
2020
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Quasi-homogeneous linearization of degenerate vector fields
Journal of Mathematical Analysis and Applications, Vol. 483, Núm. 2
2019
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Invariant curves and analytic integrability of a planar vector field
Journal of Differential Equations, Vol. 266, Núm. 2-3, pp. 1357-1376
2018
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Analytical integrability problem for perturbations of cubic Kolmogorov systems
Chaos, Solitons and Fractals, Vol. 113, pp. 1-10
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Non-formally integrable centers admitting an algebraic inverse integrating factor
Discrete and Continuous Dynamical Systems- Series A, Vol. 38, Núm. 3, pp. 967-988
2016
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Algebraic inverse integrating factors for a class of generalized nilpotent systems
SEMA SIMAI Springer Series (Springer International Publishing), pp. 287-300
2015
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Existence of inverse integrating factor
Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics
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Local phase portraits through the Newton diagram of a vector field
Acta Mathematica Sinica, English Series, Vol. 31, Núm. 6, pp. 1015-1034
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Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram
Journal of Computational and Applied Mathematics, Vol. 287, pp. 78-87
2014
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A class of non-integrable systems admitting an inverse integrating factor
Journal of Mathematical Analysis and Applications, Vol. 420, Núm. 2, pp. 1439-1454
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A new algorithm for determining the monodromy of a planar differential system
Applied Mathematics and Computation, Vol. 237, pp. 419-429
2012
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A note on analytic integrability of planar vector fields
European Journal of Applied Mathematics, Vol. 23, Núm. 5, pp. 555-562
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Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems
Chaos, Solitons and Fractals, Vol. 45, Núm. 6, pp. 869-878
2011
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Characterization of a monodromic singular point of a planar vector field
Nonlinear Analysis, Theory, Methods and Applications, Vol. 74, Núm. 16, pp. 5402-5414
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Integrability of two dimensional quasi-homogeneous polynomial differential systems
Rocky Mountain Journal of Mathematics, Vol. 41, Núm. 1, pp. 1-22