| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 852 1 |
| Ultima descărcare din IBN: 2018-09-02 19:42 |
 SM ISO690:2012BOULARAS, Driss, MATEI, Angela. The GL(2, R)−orbits of the homogeneous polynomial differential systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2008, nr. 3(58), pp. 44-56. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(58) / 2008 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
| Pag. 44-56 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
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. |
||||||
| Cuvinte-cheie Group action, group orbits, dimension of orbits. |
||||||
|
Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <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>Boularas, D.</dc:creator> <dc:creator>Matei, A.</dc:creator> <dc:date>2008-12-02</dc:date> <dc:description xml:lang='en'>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.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 58 (3) 44-56</dc:source> <dc:subject>Group action</dc:subject> <dc:subject>group orbits</dc:subject> <dc:subject>dimension of orbits.</dc:subject> <dc:title>The GL(2, R)−orbits of the homogeneous polynomial differential systems</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
|
|
|
