Shadowing is generic---a continuous map case

2014
journal article
article
16
dc.abstract.enWe prove that shadowing (the pseudo-orbit tracing property), periodic shadowing (tracing periodic pseudo-orbits with periodic real trajectories), and inverse shadowing with respect to certain families of methods (tracing all real orbits of the system with pseudo-orbits generated by arbitrary methods from these families) are all generic in the class of continuous maps and in the class of continuous onto maps on compact topological manifolds (with or without boundary) that admit a decomposition (including triangulable manifolds and manifolds with handlebody).pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorKościelniak, Piotr - 129220 pl
dc.contributor.authorMazur, Marcin - 130444 pl
dc.contributor.authorOprocha, Piotrpl
dc.contributor.authorPilarczyk, Pawełpl
dc.date.accessioned2015-03-05T12:38:08Z
dc.date.available2015-03-05T12:38:08Z
dc.date.issued2014pl
dc.description.number9pl
dc.description.physical3591-3609pl
dc.description.volume34pl
dc.identifier.doi10.3934/dcds.2014.34.3591pl
dc.identifier.eissn1553-5231pl
dc.identifier.issn1078-0947pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/3568
dc.languageengpl
dc.language.containerengpl
dc.rights.licencebez licencji
dc.subtypeArticlepl
dc.titleShadowing is generic---a continuous map casepl
dc.title.journalDiscrete and Continuous Dynamical Systems. Series Apl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We prove that shadowing (the pseudo-orbit tracing property), periodic shadowing (tracing periodic pseudo-orbits with periodic real trajectories), and inverse shadowing with respect to certain families of methods (tracing all real orbits of the system with pseudo-orbits generated by arbitrary methods from these families) are all generic in the class of continuous maps and in the class of continuous onto maps on compact topological manifolds (with or without boundary) that admit a decomposition (including triangulable manifolds and manifolds with handlebody).
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Kościelniak, Piotr - 129220
dc.contributor.authorpl
Mazur, Marcin - 130444
dc.contributor.authorpl
Oprocha, Piotr
dc.contributor.authorpl
Pilarczyk, Paweł
dc.date.accessioned
2015-03-05T12:38:08Z
dc.date.available
2015-03-05T12:38:08Z
dc.date.issuedpl
2014
dc.description.numberpl
9
dc.description.physicalpl
3591-3609
dc.description.volumepl
34
dc.identifier.doipl
10.3934/dcds.2014.34.3591
dc.identifier.eissnpl
1553-5231
dc.identifier.issnpl
1078-0947
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/3568
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights.licence
bez licencji
dc.subtypepl
Article
dc.titlepl
Shadowing is generic---a continuous map case
dc.title.journalpl
Discrete and Continuous Dynamical Systems. Series A
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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