1 |
T. Das, K. Lee, D. Richeson, and J. Wiseman, Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces, Topology Appl. 160 (2013), no. 1, 149-158. https://doi.org/10.1016/j.topol.2012.10.010
DOI
|
2 |
E. Glasner and B. Weiss, Sensitive dependence on initial conditions, Nonlinearity 6 (1993), no. 6, 1067-1075. http://stacks.iop.org/0951-7715/6/1067
DOI
|
3 |
D. Alcaraz and M. Sanchis, A note on extensions of dynamical systems from uniform spaces, Topology Appl. 137 (2004), no. 1-3, 3-12. https://doi.org/10.1016/S0166-8641(03)00194-9
DOI
|
4 |
J. Auslander, G. Greschonig, and A. Nagar, Reflections on equicontinuity, Proc. Amer. Math. Soc. 142 (2014), no. 9, 3129-3137. https://doi.org/10.1090/S0002-9939-2014-12034-X
DOI
|
5 |
W. Brian, Abstract ω-limit sets, J. Symb. Log. 83 (2018), no. 2, 477-495. https://doi.org/10.1017/jsl.2018.11
DOI
|
6 |
J. Banks, J. Brooks, G. Cairns, G. Davis, and P. Stacey, On Devaney's definition of chaos, Amer. Math. Monthly 99 (1992), no. 4, 332-334. https://doi.org/10.2307/2324899
DOI
|
7 |
A. D. Barwell, C. Good, and P. Oprocha, Shadowing and expansivity in subspaces, Fund. Math. 219 (2012), no. 3, 223-243. https://doi.org/10.4064/fm219-3-2
DOI
|
8 |
R. Bowen, ω-limit sets for axiom A diffeomorphisms, J. Differential Equations 18 (1975), no. 2, 333-339. https://doi.org/10.1016/0022-0396(75)90065-0
DOI
|
9 |
P. Das and T. Das, Various types of shadowing and specification on uniform spaces, J. Dyn. Control Syst. 24 (2018), no. 2, 253-267. https://doi.org/10.1007/s10883-017-9388-1
DOI
|
10 |
A. Fakhari and F. H. Ghane, On shadowing: ordinary and ergodic, J. Math. Anal. Appl. 364 (2010), no. 1, 151-155. https://doi.org/10.1016/j.jmaa.2009.11.004
DOI
|
11 |
C. Good and S. Macias, What is topological about topological dynamics?, Discrete Contin. Dyn. Syst. 38 (2018), no. 3, 1007-1031. https://doi.org/10.3934/dcds.2018043
DOI
|
12 |
P. Kurka, Topological and symbolic dynamics, Cours Specialises, 11, Societe Mathematique de France, Paris, 2003.
|
13 |
K. B. Mangang, Equicontinuity and sensitivity of sequence dynamical systems, Glob. J. Pure Appl. Math. 13 (2017), 4223-4228.
|
14 |
S. Silverman, On maps with dense orbits and the definition of chaos, Rocky Mountain J. Math. 22 (1992), no. 1, 353-375. https://doi.org/10.1216/rmjm/1181072815
DOI
|
15 |
T. Ceccherini-Silberstein and M. Coornaert, Sensitivity and Devaney's chaos in uniform spaces, J. Dyn. Control Syst. 19 (2013), no. 3, 349-357. https://doi.org/10.1007/s10883-013-9182-7
DOI
|
16 |
D. Richeson and J. Wiseman, Positively expansive dynamical systems, Topology Appl. 154 (2007), no. 3, 604-613. https://doi.org/10.1016/j.topol.2006.08.009
DOI
|
17 |
S. Shah, R. Das, and T. Das, Specification property for topological spaces, J. Dyn. Control Syst. 22 (2016), no. 4, 615-622. https://doi.org/10.1007/s10883-015-9275-6
DOI
|
18 |
H. Wang, Equicontinuity, shadowing and distality in general topological spaces, Czechoslovak Math. J. 70(145) (2020), no. 3, 711-726. https://doi.org/10.21136/CMJ.2020.0488-18
DOI
|
19 |
A. Weil, Sur les espaces a structure uniforme et sur la topologie generale, Herman & Cie, Paris, 1938.
|
20 |
X. Wu, X. Ma, Z. Zhu, and T. Lu, Topological ergodic shadowing and chaos on uniform spaces, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 28 (2018), no. 3, 1850043, 9 pp. https://doi.org/10.1142/S0218127418500438
DOI
|
21 |
D. V. Anosov, On a class of invariant sets of smooth dynamical systems, Proceedings of 5th International Conference on Nonlinear Oscillations 2, Kiev, (1970), 39-45.
|
22 |
R. Engelking, General topology, translated from the Polish by the author, second edition, Sigma Series in Pure Mathematics, 6, Heldermann Verlag, Berlin, 1989.
|
23 |
S. A. Ahmadi, X. Wu, Z. Feng, X. Ma, and T. Lu, On the entropy points and shadowing in uniform spaces, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 28 (2018), no. 12, 1850155, 10 pp. https://doi.org/10.1142/S0218127418501559
DOI
|
24 |
S. A. Ahmadi, Shadowing, ergodic shadowing and uniform spaces, Filomat 31 (2017), no. 16, 5117-5124. https://doi.org/10.2298/fil1716117a
DOI
|
25 |
S. A. Ahmadi, X. Wu, and G. Chen, Topological chain and shadowing properties of dynamical systems on uniform spaces, Topology Appl. 275 (2020), 107153, 11 pp. https://doi.org/10.1016/j.topol.2020.107153
DOI
|
26 |
D. Ruelle, Statistical mechanics on a compact set with Zv action satisfying expansiveness and specification, Trans. Amer. Math. Soc. 187 (1973), 237-251. https://doi.org/10.2307/1996437
DOI
|
27 |
K. B. Mangang, Minimality and equicontinuity of a sequence of maps in iterative way, Intern. J. Math. Stat. Invent. 2 (2014), 4-6.
|
28 |
K. B. Mangang, Equicontinuity of the limit function of a sequence of equicontinuous functions, J. Indian Math. Soc. (N.S.) 81 (2014), no. 1-2, 115-121.
|
29 |
X. Wu, Y. Luo, X. Ma, and T. Lu, Rigidity and sensitivity on uniform spaces, Topology Appl. 252 (2019), 145-157. https://doi.org/10.1016/j.topol.2018.11.014
DOI
|