MARIA BELEN
GARCIA FERNANDEZ
Publicacións (13) Publicacións de MARIA BELEN GARCIA FERNANDEZ
2023
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Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, Vol. 12, Núm. 4
2021
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Analytic integrability of quasi-homogeneous systems via the Yoshida method
Journal of Symbolic Computation, Vol. 104, pp. 960-980
2019
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An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems
Journal of Symbolic Computation, Vol. 95, pp. 1-25
2018
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Classification and Counting of Planar Quasi-Homogeneous Differential Systems Through Their Weight Vectors
Qualitative theory of dynamical systems, Vol. 17, Núm. 3, pp. 541-561
2014
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Limit cycles of generalized Liénard polynomial differential systems via averaging theory
Chaos, Solitons and Fractals, Vol. 62-63, pp. 1-9
2013
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Planar quasi-homogeneous polynomial differential systems and their integrability
Journal of Differential Equations, Vol. 255, Núm. 10, pp. 3185-3204
2012
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On the Multiplicity of Algebraic Limit Cycles
Journal of Dynamics and Differential Equations, Vol. 24, Núm. 3, pp. 539-560
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On the polynomial differential systems having polynomial first integrals
Bulletin des Sciences Mathematiques, Vol. 136, Núm. 3, pp. 309-316
2011
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Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems
Applied Mathematics Letters, Vol. 24, Núm. 7, pp. 1115-1119
2009
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Corrigendum to "On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree" [Nonlinear Anal. 69 (12) (2008) 4461-4469] (DOI:10.1016/j.na.2007.11.004)
Nonlinear Analysis, Theory, Methods and Applications
2008
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On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree
Nonlinear Analysis, Theory, Methods and Applications, Vol. 69, Núm. 12, pp. 4461-4469
2006
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Phase portraits of the quadratic vector fields with a polynomial first integral
Rendiconti del Circolo Matematico di Palermo, Vol. 55, Núm. 3, pp. 420-440
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Polynomial first integrals of quadratic vector fields
Journal of Differential Equations, Vol. 230, Núm. 2, pp. 393-421