References

CHAIN TRANSITIVE SETS WITH DOMINATED SPLITTING


[1] C. Bonatti, L. J. Díaz and E. Pujals, A generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks or sources, Annals of Math. 158 (2003), 187-222.

[2] C. Bonatti, N. Gourmelon and T. Vivier, Perturbations of the derivative along periodic orbits, Ergodi. Th. Dynam. Syst. 26 (2006), 1307-1337.

[3] S. Corvisier, Periodic orbit and chain transitive sets of diffeomorphisms, Publ. Math. Inst. Hautes Tudes Sci. 104 (2006), 87-141.

[4] J. Franks, Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971), 301-308.

[5] M. Lee, Diffeomorphisms with stably average shadowing, preprint.

[6] K. Lee, G. Lu and X. Wen, stably weak shadowing property of chain transitive sets, preprint.

[7] K. Lee, K. Moryasu and K. Sakai, stably shadowing diffeomorphisms, Discrete Contin. Dynam. Syst. 22 (2008), 683-697.

[8] K. Lee and M. Lee, Hyperbolicity of stably expansive homoclinic classes, to appear in Discrete Contin. Dynam. Syst.

[9] R. Mãné, An ergodic closing lemma, Ann. Math. 116 (1982), 503-540.