Geodesic
Totally bounded differential polynomial systems in $\mathbb{R}^{2}$
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 2, pp. 91-99

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Totally bounded differential systems in $\mathbb{R}^{2}$ are defined as having all trajectories bounded. By Dulac’s finiteness theorem it is proved that totally bounded polynomial systems exhibit an unbounded «annulus» of cycles. The portrait of the remaining trajectories is examined in the case the system has, in $\mathbb{R}^{2}$, a unique singular point. Work is in progress concerning the study of totally bounded polynomial systems with two singular points. 
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     title = {Totally bounded differential polynomial systems in $\mathbb{R}^{2}$},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {91--99},
     publisher = {mathdoc},
     volume = {Ser. 9, 13},
     number = {2},
     year = {2002},
     zbl = {1108.34311},
     mrnumber = {MR1949482},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_2_a3/}
}
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Conti, Roberto; Galeotti, Marcello. Totally bounded differential polynomial systems in $\mathbb{R}^{2}$. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 2, pp. 91-99. http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_2_a3/