GENERIC DIFFEOMORPHISMS WITH ROBUSTLY TRANSITIVE SETS

Title & Authors
GENERIC DIFFEOMORPHISMS WITH ROBUSTLY TRANSITIVE SETS
Lee, Manseob; Lee, Seunghee;

Abstract
Let $\small{{\Lambda}}$ be a robustly transitive set of a diffeomorphism $\small{f}$ on a closed $\small{C^{\infty}}$ manifold. In this paper, we characterize hyperbolicity of $\small{{\Lambda}}$ in $\small{C^1}$-generic sense.
Keywords
transitive set;robustly transitive set;generic;dominated splitting;partially hyperbolic;hyperbolic;
Language
English
Cited by
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2.
The ergodic shadowing property from the robust and generic view point, Advances in Difference Equations, 2014, 2014, 1, 170
3.
The barycenter property for robust and generic diffeomorphisms, Acta Mathematica Sinica, English Series, 2016, 32, 8, 975
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