Diffeomorphisms with C 1-stably average shadowing |
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| Authors: | Manseob Lee Xiao Wen |
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| Affiliation: | 1. Department of Mathematics, Mokwon University, Daejeon, 302-729, Korea
2. The School of Mathematical and System Sciences, Beihang University, Beijing, 100191, P. R. China
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| Abstract: | Let M be a closed smooth manifold M, and let f: M ?? M be a diffeomorphism. In this paper, we consider a nontrivial transitive set ?? of f. We show that if f has the C 1-stably average shadowing property on ??, then ?? admits a dominated splitting. |
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| Keywords: | Average shadowing dominated splitting transitive set average pseudo-orbit |
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