1 |
C. Bonatti and S. Crovisier, Rcurrence et g, Invent. Math. 158 (2004), 33–104.
|
2 |
M. Hurley, Bifurcations and chain recurrence, Ergodic Theory & Dynam. Sys. 3 (1983), 231–240.
|
3 |
F. Abdenur and L. J. Díaz, Pseodo-orbit shadowing in the -topology, Discrete Contin. Dyn. Syst. 17 (2007), 223–245.
|
4 |
R. Corless and S. Pilyugin, Approximate and real trajectories for generic dynamical systems, J. Math. Anal. Appl. 189 (1995), 409–423.
DOI
ScienceOn
|
5 |
J. Franks, Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971), 301–308.
DOI
|
6 |
S. Hayashi, Diffeomorphisms in -(M) satisfy Axiom A, Ergod. Th. & Dynam. Sys. 12 (1992), 233–253.
|
7 |
K. Lee and M. Lee, Hyperbolicity of -stably expansive homoclinic classes, to apear Discrete Contin. Dyn Syst.
|
8 |
K. Lee, K. Moriyasu, and K. Sakai, -stable shadowing diffeomorphisms, Discrete Contin. Dyn. Syst. 22 (2008), 683–697.
|
9 |
R. Mane, An ergodic closing lemma, Ann of Math. 116 (1982), 503–540.
DOI
|
10 |
J. Palis and F. Takens, Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, Cambridge Studies in Advanced Mathematics 35, Cambridge University Press, 1993.
|
11 |
S. Pilyugin, Inverse shadowing by continuous methods, Discrete Contin. Dyn. Syst. 8 (2002), 29–38.
DOI
|
12 |
S. Pilyugin, A. A. Rodionova, and K. Sakai, Orbital and weak shadowing properties, Discrete Contin. Dyn. Syst. 9 (2003), 287–308.
DOI
|
13 |
C. Robinson, Dynamical Systems: stability, symbolic dynamics, and chaos (2-nd Ed.): Studies in Advanced Mathematics, CRC Press 1999.
|
14 |
K. Sakai, Quasi-Anosov diffeomorphisms and pseudo-orbit tracing property, Nagoya Math. J. 111 (1988), 111–114.
|
15 |
K. Sakai, -stably shadowable chain components, Ergod. Th. & Dynam. Sys. 28 (2008), 987–1029.
|
16 |
K. Lee, Continuous inverse shadowing and hyperbolicity, Bull. Austral. Math. Soc. 67 (2003), 15–26.
DOI
|