Totally bounded differential polynomial systems in ${\mathbb{R}}^2$

Conti, Roberto, and Galeotti, Marcello. "Totally bounded differential polynomial systems in $\mathbb{R}^{2}$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 13.2 (2002): 91-99. <http://eudml.org/doc/252440>.

@article{Conti2002,
abstract = {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.},
author = {Conti, Roberto, Galeotti, Marcello},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Polynomial systems; Total boundedness; Petals; polynomial systems; total boundedness; petals},
language = {eng},
month = {6},
number = {2},
pages = {91-99},
publisher = {Accademia Nazionale dei Lincei},
title = {Totally bounded differential polynomial systems in $\mathbb\{R\}^\{2\}$},
url = {http://eudml.org/doc/252440},
volume = {13},
year = {2002},
}

TY - JOUR
AU - Conti, Roberto
AU - Galeotti, Marcello
TI - Totally bounded differential polynomial systems in $\mathbb{R}^{2}$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2002/6//
PB - Accademia Nazionale dei Lincei
VL - 13
IS - 2
SP - 91
EP - 99
AB - 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.
LA - eng
KW - Polynomial systems; Total boundedness; Petals; polynomial systems; total boundedness; petals
UR - http://eudml.org/doc/252440
ER -