학술저널
DYNAMICAL SYSTEMS WITH SPECIFICATION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 1
-
2015.02103 - 108 (6 pages)
- 2
In this paper we prove that C ¹-generically, if a diffeomorphism f on a closed C ∞ manifold M satisfies weak specification on a locally maximal set Λ ⊂ M then Λ is hyperbolic for f . As a corollary we obtain that C ¹ -generically, every diffeomorphism with weak specification is Anosov.
1. Introduction
2. Proof of Theorem 1.1
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