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<creators>
<creator>
<creatorName>Gherştega, N.N.</creatorName>
<affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Orlov, V.M.</creatorName>
<affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Vulpe, N.I.</creatorName>
<affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)−orbits</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2009</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1024-7696</relatedIdentifier>
<subjects>
<subject>quadratic differential system</subject>
<subject>Lie algebra of operators</subject>
<subject>Aff (2</subject>
<subject>R)−orbit</subject>
<subject>affine invariant polynomial</subject>
</subjects>
<dates>
<date dateType='Issued'>2009-08-03</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>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</description>
</descriptions>
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<format>application/pdf</format>
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