참고문헌
-
C. Bonatti, L. J. Diaz and E. Pujals, A
$C^{1}$ -generic dichotomy for diffeomorphisms : weak forms of hyperbolicity or infinitely many sinks or sources, Annal. of Math. 158 (2003), 355-418. https://doi.org/10.4007/annals.2003.158.355 - C. Bonatti, N. Gourmelon and T. Vivier, Perturbations of the derivative along periodic orbits, Ergod. Th. & Dynam. Sys. 26 (2006), 1307-1337. https://doi.org/10.1017/S0143385706000253
- J. Franks, Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971), 301-308. https://doi.org/10.1090/S0002-9947-1971-0283812-3
- N. Gourmelon, A Frank's Lemma that preserves invariant manifolds, preprint.
-
S. Hayashi, Diffomorphisms in
$F^{1}$ (M) satisfy Axiom A, Ergod. Th. & Dynam. Sys. 12 (1992), 233-253. - M. Lee, Transitive sets with dominated splitting, J. Chungcheong Math. Soc. 23 (2010), 65-71.
- M. Lee, Dominated splitting with stably expansive, to apear in J. of the KSME, Series B.
- K. Lee and M. Lee, Stably inverse shadowable transiteve sets and dominated splitting, to appear in Proc. Amer. Math. Soc.
-
K. Lee, G. Lu and X. Wen,
$C^{1}$ -stably weak shadowing property of chain tran- sitive sets, preprint. - R. Mane, An ergodic closing lemma, Ann. Math. 116 (1982), 503-540. https://doi.org/10.2307/2007021
-
A. V. Osipov, S. Y. Pilyugin, and S. B. Tikhomirov, Periodic shadowing and
$\Omega$ -stability, Regular and Chaotic Dynamics, 15 (2010), 404-417. https://doi.org/10.1134/S1560354710020255 - D. Yang, Stably weakly shadowing transiteve sets and dominated splitting, Proc. Amer. Math. Soc. 139 (2011), 2747-2751. https://doi.org/10.1090/S0002-9939-2011-10699-3