Open Access

Orbital shadowing property on chain transitive sets for generic diffeomorphisms

   | Jul 16, 2020

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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.

eISSN:
2066-7752
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics