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Darboux polynomials and first integrals for the generalized Lorenz System

2025
journal article
article
10.5506/APhysPolB.56.12-A7
Journal
Acta Physica Polonica, Series B.
70
Author
Golda Zdzisław

Woszczyna Andrzej
Volume
56
Number
12
Article ID
12-A7
ISSN
0587-4254
Language
English
Journal language
English
Abstract in English

We study the generalized Lorenz dynamical system describing convective phenomena in magnetized fluid. We employ computer algebra to effectively support the Darboux method of solving differential equations. Darboux polynomials and various types of first integrals are determined.

Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne
dc.abstract.enWe study the generalized Lorenz dynamical system describing convective phenomena in magnetized fluid. We employ computer algebra to effectively support the Darboux method of solving differential equations. Darboux polynomials and various types of first integrals are determined.
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne
dc.contributor.authorGolda, Zdzisław - 128096
dc.contributor.authorWoszczyna, Andrzej - 132741
dc.date.accessioned2025-12-17T11:57:39Z
dc.date.available2025-12-17T11:57:39Z
dc.date.createdat2025-12-11T13:01:35Zen
dc.date.issued2025
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number12
dc.description.versionostateczna wersja wydawcy
dc.description.volume56
dc.identifier.articleid12-A7
dc.identifier.doi10.5506/APhysPolB.56.12-A7
dc.identifier.issn0587-4254
dc.identifier.projectDRC AI
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/567727
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.typeotwarte czasopismo
dc.subtypeArticle
dc.titleDarboux polynomials and first integrals for the generalized Lorenz System
dc.title.journalActa Physica Polonica, Series B.
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
We study the generalized Lorenz dynamical system describing convective phenomena in magnetized fluid. We employ computer algebra to effectively support the Darboux method of solving differential equations. Darboux polynomials and various types of first integrals are determined.
dc.affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne
dc.contributor.author
Golda, Zdzisław - 128096
dc.contributor.author
Woszczyna, Andrzej - 132741
dc.date.accessioned
2025-12-17T11:57:39Z
dc.date.available
2025-12-17T11:57:39Z
dc.date.createdaten
2025-12-11T13:01:35Z
dc.date.issued
2025
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.number
12
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
56
dc.identifier.articleid
12-A7
dc.identifier.doi
10.5506/APhysPolB.56.12-A7
dc.identifier.issn
0587-4254
dc.identifier.project
DRC AI
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/567727
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtype
Article
dc.title
Darboux polynomials and first integrals for the generalized Lorenz System
dc.title.journal
Acta Physica Polonica, Series B.
dc.type
JournalArticle
dspace.entity.typeen
Publication
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Golda, Zdzisław
Woszczyna, Andrzej

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