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Short communications

Classification of $GL(2,\mathbb R)$-orbit's dimensions for the differential system with cubic nonlinearities

V. Orlov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova

Abstract: Center-affine invariant conditions for $GL(2,\mathbb R)$-orbit's dimensions are defined for two-dimensional autonomous system of differential polynomial equations with cubic nonlinearities.

Keywords and phrases: Differential system, Lie algebra of the operators, $GL(2,\mathbb R)$-orbit.

MSC: 34C14

Received: 30.07.2008

Language: English

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