The multiplicity of the invariant straight line at the infinity for the quintic system

Repeşco Vadim

Articolul precedent

Articolul urmator

230

Ultima descărcare din IBN:
2023-03-20 15:19

SM ISO690:2012

REPEŞCO, Vadim. The multiplicity of the invariant straight line at the infinity for the quintic system. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, pp. 23-24.

EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core

Conference on Applied and Industrial Mathematics
Ediţia a 28-a, 2021

Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 17-18 septembrie 2021

The multiplicity of the invariant straight line at the infinity for the quintic system

Pag. 23-24

Repeşco Vadim

Tiraspol State University

Disponibil în IBN: 20 septembrie 2022

Descarcă PDF

Rezumat

Consider the real polynomial di erential system of degree n, i.e. a differential system. According to [1], if the system (1) has suciently many invariant straight lines considered with their multiplicities, then we can obtain a Darboux rst integral for it. There are di erent types of multiplicities of these invariant straight lines, for example: parallel multiplicity, geometric multiplicity, algebraic multiplicity, etc [2]. In this work we will use the notion of algebraic multiplicity of an invariant straight line.

Cerif XML Export

<?xml version='1.0' encoding='utf-8'?>
<CERIF xmlns='urn:xmlns:org:eurocris:cerif-1.5-1' xsi:schemaLocation='urn:xmlns:org:eurocris:cerif-1.5-1 http://www.eurocris.org/Uploads/Web%20pages/CERIF-1.5/CERIF_1.5_1.xsd' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' release='1.5' date='2012-10-07' sourceDatabase='Output Profile'>
<cfResPubl>
<cfResPublId>ibn-ResPubl-164018</cfResPublId>
<cfResPublDate>2021</cfResPublDate>
<cfVol>Ediţia a 28-a</cfVol>
<cfStartPage>23</cfStartPage>
<cfISBN></cfISBN>
<cfURI>https://ibn.idsi.md/ro/vizualizare_articol/164018</cfURI>
<cfTitle cfLangCode='EN' cfTrans='o'>The multiplicity of the invariant straight line at the infinity for the quintic system</cfTitle>
<cfAbstr cfLangCode='EN' cfTrans='o'><p>Consider the real polynomial di erential system of degree n, i.e. a differential system. According to [1], if the system (1) has suciently many invariant straight lines considered with their multiplicities, then we can obtain a Darboux rst integral for it. There are di erent types of multiplicities of these invariant straight lines, for example: parallel multiplicity, geometric multiplicity, algebraic multiplicity, etc [2]. In this work we will use the notion of algebraic multiplicity of an invariant straight line.</p></cfAbstr>
<cfResPubl_Class>
<cfClassId>eda2d9e9-34c5-11e1-b86c-0800200c9a66</cfClassId>
<cfClassSchemeId>759af938-34ae-11e1-b86c-0800200c9a66</cfClassSchemeId>
<cfStartDate>2021T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfResPubl_Class>
<cfClassId>e601872f-4b7e-4d88-929f-7df027b226c9</cfClassId>
<cfClassSchemeId>40e90e2f-446d-460a-98e5-5dce57550c48</cfClassSchemeId>
<cfStartDate>2021T24:00:00</cfStartDate>
</cfResPubl_Class>
<cfPers_ResPubl>
<cfPersId>ibn-person-29430</cfPersId>
<cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId>
<cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId>
<cfStartDate>2021T24:00:00</cfStartDate>
</cfPers_ResPubl>
</cfResPubl>
<cfPers>
<cfPersId>ibn-Pers-29430</cfPersId>
<cfPersName_Pers>
<cfPersNameId>ibn-PersName-29430-3</cfPersNameId>
<cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId>
<cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId>
<cfStartDate>2021T24:00:00</cfStartDate>
<cfFamilyNames>Repeşco</cfFamilyNames>
<cfFirstNames>Vadim</cfFirstNames>
</cfPersName_Pers>
</cfPers>
</CERIF>