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Orbital shadowing property on chain transitive sets for generic diffeomorphisms

   | 16 juil. 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
Langue:
Anglais
Périodicité:
2 fois par an
Sujets de la revue:
Mathematics, General Mathematics