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The $GL(2,{\mathbb R})$-orbits of polynomial differential systems of degree four

Angela Păşcanu

Department of Mathematics, State University of Tiraspol, Chişinău, Moldova

Abstract: In this paper we characterize the $GL(2,{\mathbb R})-$orbits of the differential systems $\dot{x}_1=P(x_1,x_2)$, $\dot{x}_2=Q(x_1,x_2),$ where $P,Q$ are polynomials of degree four, with respects to their dimensions.

Keywords and phrases: group action, group orbits,dimension of orbits.

MSC: 34C05

Received: 06.10.2006

Language: English

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