Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
992 0 |
SM ISO690:2012 GHERŞTEGA, Natalia, ORLOV, Victor, VULPE, Nicolae. A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)−orbits. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 2(60), pp. 29-54. ISSN 1024-7696. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(60) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
Pag. 29-54 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
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 |
||||||
Cuvinte-cheie quadratic differential system, Lie algebra of operators, affine invariant polynomial, Aff (2, R)−orbit |
||||||
|
Crossref XML Export
<?xml version='1.0' encoding='utf-8'?> <doi_batch version='4.3.7' xmlns='http://www.crossref.org/schema/4.3.7' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.crossref.org/schema/4.3.7 http://www.crossref.org/schema/deposit/crossref4.3.7.xsd'> <head> <doi_batch_id>ibn-8809</doi_batch_id> <timestamp>1713497631</timestamp> <depositor> <depositor_name>Information Society Development Instiute, Republic of Moldova</depositor_name> <email_address>idsi@asm.md</email_address> </depositor> <registrant>Institutul de Matematică şi Informatică al AŞM</registrant> </head> <body> <journal> <journal_metadata> <full_title>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica</full_title> <issn media_type='print'>10247696</issn> </journal_metadata> <journal_issue> <publication_date media_type='print'> <year>2009</year> </publication_date> <issue>2(60)</issue> </journal_issue> <journal_article publication_type='full_text'><titles> <title>A complete classification of quadratic differential systems according to the dimensions of Aff(2, R)−orbits</title> </titles> <contributors> <person_name sequence='first' contributor_role='author'> <given_name>Natalia</given_name> <surname>Gherştega</surname> </person_name> <person_name sequence='additional' contributor_role='author'> <given_name>Victor</given_name> <surname>Orlov</surname> </person_name> <person_name sequence='additional' contributor_role='author'> <given_name>Nicolae</given_name> <surname>Vulpe</surname> </person_name> </contributors> <publication_date media_type='print'> <year>2009</year> </publication_date> <pages> <first_page>29</first_page> <last_page>54</last_page> </pages> </journal_article> </journal> </body> </doi_batch>