References
- N. Aoki, Topological Dynamics, Topics in General Topology Vol. 41, North-Holland Publishing Co., Amsterdam, 1989, pp. 625–740.
- T. Arai, Devaney's and Li–Yorke's chaos in uniform spaces, J. Dyn. Control Syst. 24 (2018), pp. 93–100.
- R. Bowen, Periodic points and measures for Axiom A diffeomorphisms, Trans. Am. Math. Soc. 154 (1971), pp. 377–397.
- R. Bowen, Periodic orbits for hyperbolic flows, Am. J. Math. 94 (1972), pp. 1–30.
- P. Das and T. Das, Various types of shadowing and specification on uniform spaces, J. Dyn. Control Syst. 24 (2018), pp. 253–267.
- P. Das, A.G. Khan, and T. Das, Measure expansivity and specification for pointwise dynamics, Bull. Braz. Math. Soc. New Ser. 50 (2019), pp. 933–948.
- R.L. Devaney, An Introduction to Chaotic Dynamical Systems, 2nd ed., Addison-Wesley, California, CA, 1989.
- A. Fedeli and A.L. Donne, A note on the uniform limit of transitive dynamical systems, Bull. Belg. Math. Soc. Simon Stevin 16(1) (2009), pp. 59–66.
- B.M. Hood, Topological entropy and uniform spaces, J. Lond. Math. Soc. s2-8 (1974), pp. 633–641.
- J. Kelley, General Topology, D Van Nostrand Company, New York, NY, 1955.
- A.G. Khan, P.K. Das, and T. Das, Pointwise dynamics under orbital convergence, Bull. Braz. Math. Soc. New Ser. 51 (2020), pp. 1001–1016.
- C.A. Morales, Shadowable points, Dyn. Syst. 31 (2016), pp. 347–356.
- W.L. Reddy, Pointwise expansion homeomorphisms, J. Lond. Math. Soc. s2-2 (1970), pp. 232–236.
- S. Shah, R. Das, and T. Das, A note on uniform entropy for maps having topological specification property, Appl. Gen. Topol. 17 (2016), pp. 123–127.
- S. Shah, R. Das, and T. Das, Specification property for topological spaces, J. Dyn. Control Syst. 22 (2016), pp. 615–622.
- S. Shah, T. Das, and R. Das, Distributional Chaos on uniform spaces, Qual. Theory Dyn. Syst. 19(1) (2020), Article ID 4.
- K. Sigmund, On dynamical systems with the specification property, Trans. Am. Math. Soc. 190 (1974), pp. 285–299.
- A. Sklar and J. Smítal, Distributional chaos on compact metric spaces via specification properties, J. Math. Anal. Appl. 241 (2000), pp. 181–188.
- J. Taylor, Chaos in topological spaces, Far East J. Dyn. Syst. 4 (2002), pp. 115–124.
- N. Yadav and S. Shah, Li–Yorke chaos and topological distributional chaos in a sequence, Turk. J. Math. 46(4) (2022), pp. 1360–1368.
- N. Yadav and S. Shah, Topological weak specification and distributional chaos on noncompact spaces, Int. J. Bifurc. Chaos Appl. Sci. Eng. 32(4) (2022), Article ID 2250048.
- Q. Yan, J. Yin, and T. Wang, Some weak specification properties and strongly mixing, Chin. Ann. Math. Ser. B 38 (2017), pp. 1111–1118.
- X. Ye and G. Zhang, Entropy points and applications, Trans. Am. Math. Soc. 359 (2007), pp. 6167–6186.