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Orbital shadowing property on chain transitive sets for generic diffeomorphisms
2020
Acta Universitatis Sapientiae: Mathematica
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AbstractLet 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.
doi:10.2478/ausm-2020-0009
fatcat:payzh3lx3fd2boxjjmbqp37erq