Orbital shadowing property on chain transitive sets for generic diffeomorphisms
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 generically, if a diffeomorphism f has the orbital shadowing property on locally maximal chain transitive sets which admits a dominated splitting then it is hyperbolic.
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| Format: | Article |
| Language: | English |
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Sciendo
2020-07-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
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| Online Access: | https://doi.org/10.2478/ausm-2020-0009 |