Centers of quasi-homogeneous polynomial planar systems
Nonlinear Analysis: Real World Applications
Doi 10.1016/j.nonrwa.2011.07.056
Volumen 13
páginas 419 - 431
2012-02-01
Citas: 38
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. © 2011 Elsevier Ltd. All rights reserved.
Center problem, Integrability, Monodromy, Quasi-homogeneous, Reversibility
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