학술저널
TAME DIFFEOMORPHISMS WITH C1-STABLE PROPERTIES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 4
-
2008.12519 - 525 (7 pages)
- 0
Let f be a di??eomorphisms of a compact C1 manifold, and let p be a hyperbolic periodic point of f. In this paper, we prove that if generically, f is tame di??eomor- phims then the following conditions are equivalent: (i) f is-stable, (ii)f has the C1-stable shadowing property (iii) f has the C1-stable inverse shadowing property.
1. Introduction
2. Proof of the Theorem
References
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