Research output: Contribution to journal › Article › peer-review
Shadowing along subsequences for continuous mappings. / Kryzhevich, S.G.
In: Vestnik St. Petersburg University: Mathematics, No. 3, 2014, p. 102-104.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Shadowing along subsequences for continuous mappings
AU - Kryzhevich, S.G.
PY - 2014
Y1 - 2014
N2 - © Allerton Press, Inc., 2014. We prove a result concerning the presence of “partial” shadowing for mappings of the most general form. We demonstrate that, for any mapping of a metric compact set into itself and any sufficiently precise pseudotrajectory, there exists an infinite subsequence of some trajectory that pointwise approximates the subsequence of the pseudotrajectory in question with the same indices.
AB - © Allerton Press, Inc., 2014. We prove a result concerning the presence of “partial” shadowing for mappings of the most general form. We demonstrate that, for any mapping of a metric compact set into itself and any sufficiently precise pseudotrajectory, there exists an infinite subsequence of some trajectory that pointwise approximates the subsequence of the pseudotrajectory in question with the same indices.
U2 - 10.3103/S1063454114030042
DO - 10.3103/S1063454114030042
M3 - Article
SP - 102
EP - 104
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 3
ER -
ID: 7062088