Kolyada S. F.
Fedorenko V. V., Ivanov А. F., Khusainov D. Ya., Kolyada S. F., Maistrenko Yu. L., Parasyuk I. O., Pelyukh G. P., Romanenko O. Yu., Samoilenko V. G., Shevchuk I. A., Sivak A. G., Tkachenko V. I., Trofimchuk S. I.
Ukr. Mat. Zh. - 2017. - 69, № 2. - pp. 257-260
Ukr. Mat. Zh. - 2013. - 65, № 9. - pp. 1163–1185
In the present paper, we consider the problem of existence of nonequivalent definitions of topological transitivity, which is a classical problem of the topological dynamics. In particular, we use the fact that all available definitions of this kind imply a condition imposed on the dynamical system. The main result of our investigations is the complete classification of these dynamical systems.
Ukr. Mat. Zh. - 2004. - 56, № 8. - pp. 1043–1061
We give a survey of the theory of chaos for topological dynamical systems defined by continuous maps on compact metric spaces.