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<oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'>
<dc:creator>Gherştega, N.N.</dc:creator>
<dc:creator>Orlov, V.M.</dc:creator>
<dc:creator>Vulpe, N.I.</dc:creator>
<dc:date>2009-08-03</dc:date>
<dc:description xml:lang='en'>In this article we consider the action of the group Aff (2, R) of affine
transformations and time rescaling on real planar quadratic differential systems. Via affine invariant conditions we give a complete stratification of this family of systems according to the dimension D of affine orbits proving that 3 ≤ D ≤ 6. Moreover we give a complete topological classification of all the systems located on the orbits of dimension D ≤ 5 constructing the affine invariant criteria for the realization of each of 49 possible topologically distinct phase portraits</dc:description>
<dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 60 (2) 29-54</dc:source>
<dc:subject>quadratic differential system</dc:subject>
<dc:subject>Lie algebra of operators</dc:subject>
<dc:subject>Aff (2</dc:subject>
<dc:subject>R)−orbit</dc:subject>
<dc:subject>affine invariant polynomial</dc:subject>
<dc:title>A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)−orbits</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
</oai_dc:dc>