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Some properties of planar polynomial systems of even degree |
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| Authors: | Marcello Galeotti Massimo Villarini |
| Institution: | (1) Present address: Facoltà di Economia e Commercio, Universitá di Ancona, Istituto di Matematica e Statistica, Via Pizzecolli 37, 60121 Ancona;(2) Present address: Istituto Matematico U. Dini, Università di Firenze, Viale Morgagni 67/A, 50134 Firenze |
| Abstract: | 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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