About classification of AFF (2, R ) - orbit’s dimensions for quadratic differential system for K5≡ 0
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ORLOV, Victor; GHERŞTEGA, Natalia. About classification of AFF (2, R ) - orbit’s dimensions for quadratic differential system for K5≡ 0. In: International Conference of Young Researchers . Ediția 6, 6-7 noiembrie 2008, Chişinău. Chişinău: Tipogr. Simbol-NP SRL, 2008, p. 130. ISBN 978-9975-62-196-0.
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International Conference of Young Researchers
Ediția 6, 2008
Conferința "International Conference of Young Researchers "
Chişinău, Moldova, 6-7 noiembrie 2008

About classification of AFF (2, R ) - orbit’s dimensions for quadratic differential system for K5≡ 0


Pag. 130-130

Orlov Victor, Gherştega Natalia
 
Institute of Mathematics and Computer Science ASM
 
Disponibil în IBN: 25 mai 2021


Rezumat

The problem of classification of Aff (2, R )-orbit’s dimensions is considered for autonomous polynomial quadratic differential systems in the case K5≡ 0, where K5 is an invariant polynomial in coefficients and variables. Lie algebra, corresponding to the representation of Aff (2, R )-group in the space of coefficients and variables of the considered systems is constructed [1]. The affine invariant conditions for distinguishing Aff (2, R )- orbit’s dimensions are found. In order to determine these conditions the affine comitans and T-comitants constructed in [2,3,4] were used.

Cuvinte-cheie
differential system, Lie algebra, Aff(2, R ) - orbits

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<dc:creator>Orlov, V.M.</dc:creator>
<dc:creator>Gherştega, N.N.</dc:creator>
<dc:date>2008</dc:date>
<dc:description xml:lang='en'><p>The problem of classification of Aff (2, R )-orbit&rsquo;s dimensions is considered for autonomous polynomial quadratic differential systems in the case K5&equiv; 0, where K5 is an invariant polynomial in coefficients and variables. Lie algebra, corresponding to the representation of Aff (2, R )-group in the space of coefficients and variables of the considered systems is constructed [1]. The affine invariant conditions for distinguishing Aff (2, R )- orbit&rsquo;s dimensions are found. In order to determine these conditions the affine comitans and T-comitants constructed in [2,3,4] were used.</p></dc:description>
<dc:source>International Conference of Young Researchers  (Ediția 6) 130-130</dc:source>
<dc:subject>differential system</dc:subject>
<dc:subject>Lie algebra</dc:subject>
<dc:subject>Aff(2, R ) - orbits</dc:subject>
<dc:title><p>About classification of AFF (2, R ) - orbit&rsquo;s dimensions for quadratic differential system for K5&equiv; 0</p></dc:title>
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