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A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation

A computer assisted proof of multiple periodic orbits ...

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dc.contributor.author Szczelina, Robert [SAP13006693] pl
dc.date.accessioned 2017-02-03T12:40:36Z
dc.date.available 2017-02-03T12:40:36Z
dc.date.issued 2016 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/36911
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation pl
dc.type JournalArticle pl
dc.description.physical 1-19 pl
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.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.description.number 83 pl
dc.identifier.doi 10.14232/ejqtde.2016.1.83 pl
dc.identifier.eissn 1417-3875 pl
dc.title.journal Electronic Journal of Qualitative Theory of Differential Equations pl
dc.language.container eng pl
dc.participation Szczelina, Robert: 100%; pl
dc.affiliation Pion Prorektora ds. badań naukowych i funduszy strukturalnych : Małopolskie Centrum Biotechnologii pl
dc.subtype Article pl
dc.rights.original OTHER; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0; pl
.pointsMNiSW [2016 A]: 25


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