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<creators>
<creator>
<creatorName>Boularas, D.</creatorName>
<affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Matei, A.</creatorName>
<affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>The GL(2, R)−orbits of the homogeneous polynomial differential systems</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2008</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1024-7696</relatedIdentifier>
<subjects>
<subject>Group action</subject>
<subject>group orbits</subject>
<subject>dimension of orbits.</subject>
</subjects>
<dates>
<date dateType='Issued'>2008-12-02</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>In this work, we study the generic homogeneous polynomial differential system x˙ 1 = Pk(x1, x2), x˙ 2 = Qk(x1, x2) under the action of the center-affine group of transformations of the phase space, GL(2, R). We show that if the dimension of the
GL(2, R)− orbits of this system is smaller than four, then deg(GCD(Pk, Qk)) ≥ k−1.</description>
</descriptions>
<formats>
<format>application/pdf</format>
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</resource>