Summary
We study autonomous systems in the plane of polynomial type. We obtain conditions for the existence of unbounded trajectories of such systems. As a consequence we prove that it does not exist a planar polynomial system of even degree with a global center.
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Galeotti, M., Villarini, M. Some properties of planar polynomial systems of even degree. Annali di Matematica 161, 299–313 (1992). https://doi.org/10.1007/BF01759643
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DOI: https://doi.org/10.1007/BF01759643