Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/27491

TitleShadowing is generic : a continuous map case
Author(s)Kościelniak, Piotr
Mazur, Marcin
Oprocha, Piotr
Pilarczyk, Pawel
KeywordsContinuous map
Continuous surjection
Genericity
Inverse shadowing
Manifold
Periodic shadowing
Pseudotrajectory
Semidynamical system
Shadowing
C degrees topology
Issue date8-Jan-2014
PublisherAmer Inst Mathematical Sciences
JournalDiscrete Contin. Dyn. Syst. (dcds-A)
Abstract(s)We prove that shadowing (the pseudo-orbit tracing property), pe- riodic shadowing (tracing periodic pseudo-orbits with periodic real trajecto- ries), 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 with- out boundary) that admit a decomposition (including triangulable manifolds and manifolds with handlebody).
TypeArticle
URIhttp://hdl.handle.net/1822/27491
DOI10.3934/dcds.2014.34.3591
ISSN1078-0947
1553-5231
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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