Stably weakly shadowing transitive sets and dominated splittings

Details Stably weakly shadowing transitive sets and dominated splittings Stably weakly shadowing transitive sets and dominated splittings

2010-03-10

arxiv.org/abs/1003.2104v1

Mathematics

Dynamical Systems

4 pages

Scientific paper

We prove that for any $C^1$-stably weakly shadowing transitive set $\Lambda$,
either $\Lambda$ is a sink or a source, or $\Lambda$ admits a dominated
splitting.

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