학술저널
STABLY PERIODIC SHADOWING AND DOMINATED SPLITTING
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 4
-
2011.11735 - 746 (12 pages)
- 2
Let f be a di？？eomorphism of a closed n-dimensional smooth manifold. In this paper, we introduce the notion of C1- stably periodic shadowing property for a closed f-invariant set, and prove that for a transitive set ¤, if f has the C1-stably periodic shadowing property on ¤, then ¤ admits a dominated splitting.
1. Introduction
2. Some known results
3. Proof of Theorem
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