Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation

2018
journal article
article
16
cris.lastimport.wos2024-04-09T23:01:25Z
dc.abstract.enWe present an algorithm for the rigorous integration of delay differential equations (DDEs) of the form x. As an application, we give a computer-assisted proof of the existence of two attracting periodic orbits (before and after the first period-doubling bifurcation) in the Mackey-Glass equation.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowejpl
dc.contributor.authorSzczelina, Robert - 106830 pl
dc.contributor.authorZgliczyński, Piotr - 132902 pl
dc.date.accessioned2018-12-05T10:20:03Z
dc.date.available2018-12-05T10:20:03Z
dc.date.issued2018pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number6pl
dc.description.physical1299-1332pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume18pl
dc.identifier.doi10.1007/s10208-017-9369-5pl
dc.identifier.eissn1615-3383pl
dc.identifier.issn1615-3375pl
dc.identifier.project2011/03B/ST1/04780pl
dc.identifier.project2016/22/A/ST1/00077pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/62636
dc.languageengpl
dc.language.containerengpl
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.typeinne
dc.subject.encomputer-assisted proofspl
dc.subject.endelay differential equationspl
dc.subject.enperiodic orbitpl
dc.subject.entopological methodspl
dc.subject.eninterval arithmeticpl
dc.subtypeArticlepl
dc.titleAlgorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equationpl
dc.title.journalFoundations of Computational Mathematicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T23:01:25Z
dc.abstract.enpl
We present an algorithm for the rigorous integration of delay differential equations (DDEs) of the form x. As an application, we give a computer-assisted proof of the existence of two attracting periodic orbits (before and after the first period-doubling bifurcation) in the Mackey-Glass equation.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
dc.contributor.authorpl
Szczelina, Robert - 106830
dc.contributor.authorpl
Zgliczyński, Piotr - 132902
dc.date.accessioned
2018-12-05T10:20:03Z
dc.date.available
2018-12-05T10:20:03Z
dc.date.issuedpl
2018
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
6
dc.description.physicalpl
1299-1332
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
18
dc.identifier.doipl
10.1007/s10208-017-9369-5
dc.identifier.eissnpl
1615-3383
dc.identifier.issnpl
1615-3375
dc.identifier.projectpl
2011/03B/ST1/04780
dc.identifier.projectpl
2016/22/A/ST1/00077
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/62636
dc.languagepl
eng
dc.language.containerpl
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
inne
dc.subject.enpl
computer-assisted proofs
dc.subject.enpl
delay differential equations
dc.subject.enpl
periodic orbit
dc.subject.enpl
topological methods
dc.subject.enpl
interval arithmetic
dc.subtypepl
Article
dc.titlepl
Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation
dc.title.journalpl
Foundations of Computational Mathematics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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