Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837968 | Nonlinear Analysis: Real World Applications | 2012 | 13 Pages |
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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Authors
A. Algaba, N. Fuentes, C. García,