1 |
S. M. Srivastava, A Course on Borel Sets, Graduate Texts in Mathematics, vol. 180, Springer-Verlag, New York, 1998.
|
2 |
S. Yu. Pilyugin, Shadowing in Dynamical Systems, Springer-Verlag, Berlin, 1999.
|
3 |
K. Sakai, Diffeomorphisms with the s-limit shadowing property, Dyn. Syst. 27 (2012), no. 4, 403-410.
DOI
|
4 |
J. Smital and M. Stefankova, Omega-chaos almost everywhere, Discrete Contin. Dyn. Syst. 9 (2003), no. 5, 1323-1327.
DOI
|
5 |
D. Kwietniak and P. Oprocha, A note on the average shadowing property for expansive maps, Topology Appl. 159 (2012), no. 1, 19-27.
DOI
ScienceOn
|
6 |
G. Haranczyk, D. Kwietniak, and P. Oprocha, A note on transitivity, sensitivity and chaos for graph maps, J. Difference Equ. Appl. 17 (2011), no. 10, 1549-1553.
DOI
ScienceOn
|
7 |
G. Haranczyk, D. Kwietniak, and P. Oprocha, Topological structure and entropy of mixing graph maps, Ergodic Theory Dynam. Systems (2013); doi: 10.1017/etds.2013.6
DOI
ScienceOn
|
8 |
M. Kulczycki, D. Kwietniak, and P. Oprocha, On almost specification and average shad-owing properties, preprint, 2013.
|
9 |
M. Lampart and P. Oprocha, Shift spaces, -chaos and specification property, Topology Appl. 156 (2009), no. 18, 2979-2985.
DOI
ScienceOn
|
10 |
K. Lee and K. Sakai, Various shadowing properties and their equivalence, Discrete Contin. Dyn. Syst. 13 (2005), no. 2, 533-540.
DOI
|
11 |
S. H. Li, -chaos and topological entropy, Trans. Amer. Math. Soc. 339 (1993), no. 1, 243-249.
|
12 |
J. Llibre and M. Misiurewicz, Horseshoes, entropy and periods for graph maps, Topology 32 (1993), no. 3, 649-664.
DOI
ScienceOn
|
13 |
G. Lu, K. Lee, and M. Lee, Generic diffeomorphisms with weak limit shadowing, Adv. Difference Equ. 2013 (2013), article id: 27, doi: 10.1186/1687-1847-2013-27.
DOI
ScienceOn
|
14 |
J. H. Mai and X. Ye, The structure of pointwise recurrent maps having the pseudo orbit tracing property, Nagoya Math. J. 166 (2002), 83-92.
DOI
|
15 |
J. Mycielski, Independent sets in topological algebras, Fund. Math. 55 (1964), 137-147.
|
16 |
T. K. S. Moothathu, Implications of pseudo-orbit tracing property for continuous maps on compacta, Top. Appl. 158 (2011), no. 16, 2232-2239.
DOI
ScienceOn
|
17 |
T. K. S. Moothathu, Syndetically proximal pairs, J. Math. Anal. Appl. 379 (2011), no. 2, 656-663.
DOI
ScienceOn
|
18 |
T. K. S. Moothathu and P. Oprocha, Shadowing entropy and minimal subsystems, Monatsh. Math. 172 (2013), no. 3-4, 357-378.
DOI
|
19 |
R. Pikula, On some notions of chaos in dimension zero, Colloq. Math. 107 (2007), no. 2, 167-177.
DOI
|
20 |
K. Palmer, Shadowing in Dynamical Systems, Kluwer Academic Publishers, Dordrecht, 2000.
|
21 |
J. Banks and B. Trotta, Weak mixing implies mixing for maps on topological graphs, J. Difference Equ. Appl. 11 (2005), no. 12, 1071-1080.
DOI
ScienceOn
|
22 |
Ll. Alseda, M. A. del Rio, and J. A. Rodriguez, Transitivity and dense periodicity for graph maps, J. Difference Equ. Appl. 9 (2003), no. 6, 577-598.
DOI
ScienceOn
|
23 |
J. Banks, Regular periodic decompositions for topologically transitive maps, Ergodic Theory Dynam. Systems 17 (1997), no. 3, 505-529.
DOI
|
24 |
J. Bobok, On multidimensional -chaos, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 16 (2006), no. 3, 737-740.
DOI
ScienceOn
|
25 |
B. Carvalho, Hyperbolicity, transitivity and the two-sided limit shadowing property, Proc. AMS, to appear.
|
26 |
B. Carvalho and D. Kwietniak, On homeomorphisms with the two-sided limit shadowing property, preprint, arXiv:1402.0674.
|
27 |
M. Dirbak, L. Snoha, and V. Spitalsky, Minimality, transitivity, mixing and topological entropy on spaces with a free interval, Ergodic Theory Dynam. Systems 33 (2013), no. 6, 1786-1812.
DOI
|
28 |
S. Yu. Pilyugin, Sets of dynamical systems with various limit shadowing properties, J. Dynam. Differential Equations 19 (2007), no. 3, 747-775.
DOI
|
29 |
Ll. Alseda, M. A. del Rio, and J. A. Rodriguez, A splitting theorem for transitive maps, J. Math. Anal. Appl. 232 (1999), no. 2, 359-375.
DOI
ScienceOn
|