1 |
F. Abdenur and S. Crovisier. Transitivity and topological mixing for diffeomorphisms, Essays in mathematics and its applications, 1-16, Springer, Heidelberg, 2012.
|
2 |
M.-C. Arnaud, C. Bonatti, and S. Crovisier, Dynamique sympletiques generiques, Ergodic Theory Dynam. Systems 25 (2005), no. 5, 1401-1436.
DOI
ScienceOn
|
3 |
A. Avila, J. Bochi, and A. Wilkinson, Nonuniform center bunching and the genericity of ergodicity among partially hyperbolic symplectomorphisms, Ann. Sci. Ec. Norm. Super. 42 (2009), no. 6, 931-979.
DOI
|
4 |
M. Bessa, -stably shadowable conservative diffeomorphisms are Anosov, Bull. Korean Math. Soc. 50 (2013), no. 5, 1495-1499.
과학기술학회마을
DOI
ScienceOn
|
5 |
M. Bessa, M. Lee, and S. Vaz, Stable weakly shadowable volume-preserving systems are volume-hyperbolic, Acta Math. Sin.(Engl. Ser.) (to appear).
|
6 |
M. Bessa and J. Rocha, A remark on the topological stability of symplectomorphisms, Appl. Math. Lett. 25 (2012), no. 2, 163-165.
DOI
ScienceOn
|
7 |
J. Bochi and M. Viana, Lyapunov exponents: How frequently are dynamical systems hyperbolic?, in Modern Dynamical Systems and Applications, 271-297, Cambridge Univ. Press, Cambridge, 2004.
|
8 |
C. Bonatti, L. J. Diaz, and M. Viana, Dynamics beyond uniform hyperbolicity, Encyclopaedia of Mathematical Sciences, 102. Mathematical Physics, III. Springer-Verlag, Berlin, 2005.
|
9 |
C. Bonatti and M. Viana, SRB measures for partially hyperbolic systems whose central direction is mostly contracting, Israel J. Math. 115 (2000), 157-193.
DOI
|
10 |
R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lecture Notes in Math., Vol. 470, Springer, Berlin, New York, 1975.
|
11 |
M. Brin, Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature, Funct. Anal. Appl. 9 (1975), no. 1, 8-16.
DOI
|
12 |
S. Crovisier, Periodic orbits and chain-transitive sets of -diffeomorphisms, Publ. Math. Inst. Hautes Etudes Sci. 104 (2006), 87-141.
DOI
ScienceOn
|
13 |
D. Dolgopyat and A. Wilkinson, Stable accessibility is dense, Asterisque 287 (2003), 33-60.
|
14 |
S. Gan, K. Sakai, and L. Wen, -stably weakly shadowing homoclinic classes admit dominated splitting, Discrete Contin. Dyn. Syst. 27 (2010), no. 1, 205-216.
DOI
|
15 |
R. Gu, The asymptotic average-shadowing property and transitivity for flows, Chaos Solitons Fractals 41 (2009), no. 5, 2234-2240.
DOI
ScienceOn
|
16 |
V. Horita and A. Tahzibi, Partial hyperbolicity for symplectic diffeomorphisms, Ann. Inst. H. Poincare Anal. Non Lineaire 23 (2006), no. 5, 641-661.
DOI
ScienceOn
|
17 |
S. Yu. Pilyugin, K. Sakai, and O. A. Tarakanov, Transversality properties and -open sets of diffeomorphisms with weak shadowing, Discrete Contin. Dyn. Syst. 16 (2006), no. 4, 871-882.
DOI
|
18 |
M. Lee, Volume preserving diffeomorphisms with weak and limit weak shadowing Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 20 (2013), no. 3, 319-325.
|
19 |
S. Newhouse, Quasi-elliptic periodic points in conservative dynamical systems, Amer. J. Math. 99 (1977), no. 5, 1061-1087.
DOI
ScienceOn
|
20 |
S. Yu. Pilyugin, Shadowing in Dynamical Systems, Lecture Notes in Math., 1706, Springer-Verlag, Berlin, 1999.
|
21 |
E. R. Pujals, Some simple questions related to the stability conjecture, Nonlinearity 21 (2008), no. 11, 233-237.
DOI
ScienceOn
|
22 |
C. Robinson, Generic Properties of Conservative Systems. II, Amer. J. Math. 92 (1970), no. 4, 897-906.
DOI
ScienceOn
|
23 |
K. Sakai, -stably shadowable chain components, Ergodic Theory Dynam. Systems 28 (2008), no. 3, 987-1029.
|
24 |
K. Sakai, Diffeomorphisms with weak shadowing, Fund. Math. 168 (2001), no. 1, 57-75.
DOI
|
25 |
K. Sakai, Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds, Rocky Mountain J. Math. 30 (2000), no. 3, 1129-1137.
DOI
|
26 |
A. Tahzibi, Stably ergodic diffeomorphisms which are not partially hyperbolic, Israel J. Math. 142 (2004), 315-344.
DOI
|
27 |
D. Yang, Stably weakly shadowing transitive sets and dominated splittings, Proc. Amer. Math. Soc. 139 (2011), no. 8, 2747-2751.
DOI
ScienceOn
|
28 |
R. M. Corless and S. Yu. Pilyugin, Approximate and real trajectories for generic dynamical systems, J. Math. Anal. Appl. 189 (1995), no. 2, 409-423.
DOI
ScienceOn
|
29 |
R. Saghin and Z. Xia, Partial hyperbolicity or dense elliptic periodic points for -generic symplectic diffeomorphisms, Trans. Amer. Math. Soc. 358 (2006), no. 11, 5119-5138.
DOI
ScienceOn
|
30 |
J. Moser and E. Zehnder, Notes on dynamical systems, Courant Lect. Notes Math., 12. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2005.
|