Centers of quasi-homogeneous polynomial planar systems |
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Authors: | A. Algaba N. Fuentes,C. Garcí a |
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Affiliation: | Department of Mathematics, Faculty of Experimental Sciences, Avda, Tres de Marzo s/n, 21071 Huelva, Spain |
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Abstract: | In this paper we determine the centers of quasi-homogeneous polynomial planar vector fields of degree 0, 1, 2, 3 and 4. In addition, in every case we make a study of the reversibility and the analytical integrability of each one of the above centers. We find polynomial centers which are neither orbitally reversible nor analytically integrable, this is a new scenario in respect to the one of non-degenerate and nilpotent centers. |
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Keywords: | Quasi-homogeneous Reversibility Integrability Center problem Monodromy |
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