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A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation
Journal
Electronic Journal of Qualitative Theory of Differential Equations
30
Author
Szczelina Robert
Issue
83
Pages
1-19
eISSN
1417-3875
Keywords in English
delay differential equations
Poincaré map
topological methods
fixed point theorem
rigorous numerics
Language
English
Container language
English
Abstract in English
We present an application of a recently developed algorithm for rigorous integration forward in time of delay differential equations (DDEs) to a computer assisted proof of the existence of several periodic orbits in a DDE obtained by a singular perturbation limit method from the classical logistic map. The proofs are done near the parameter value for which multistability was numerically observed.
Affiliation
Pion Prorektora ds. badań naukowych i funduszy strukturalnych : Małopolskie Centrum Biotechnologii
| cris.lastimport.wos | 2024-04-09T22:19:18Z | |
| dc.abstract.en | We present an application of a recently developed algorithm for rigorous integration forward in time of delay differential equations (DDEs) to a computer assisted proof of the existence of several periodic orbits in a DDE obtained by a singular perturbation limit method from the classical logistic map. The proofs are done near the parameter value for which multistability was numerically observed. | pl |
| dc.affiliation | Pion Prorektora ds. badań naukowych i funduszy strukturalnych : Małopolskie Centrum Biotechnologii | pl |
| dc.contributor.author | Szczelina, Robert - 106830 | pl |
| dc.date.accessioned | 2017-02-03T12:40:36Z | |
| dc.date.available | 2017-02-03T12:40:36Z | |
| dc.date.issued | 2016 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.number | 83 | pl |
| dc.description.physical | 1-19 | pl |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.identifier.doi | 10.14232/ejqtde.2016.1.83 | pl |
| dc.identifier.eissn | 1417-3875 | pl |
| dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/36911 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.participation | Szczelina, Robert: 100%; | pl |
| dc.rights | Dodaję tylko opis bibliograficzny | * |
| dc.rights.licence | OTHER | |
| dc.rights.uri | * | |
| dc.share.type | otwarte czasopismo | |
| dc.subject.en | delay differential equations | pl |
| dc.subject.en | Poincaré map | pl |
| dc.subject.en | topological methods | pl |
| dc.subject.en | fixed point theorem | pl |
| dc.subject.en | rigorous numerics | pl |
| dc.subtype | Article | pl |
| dc.title | A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation | pl |
| dc.title.journal | Electronic Journal of Qualitative Theory of Differential Equations | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |