Kolyada S. F.
Oleksandr Mykolaiovych Sharkovs’kyi (on his 80th birthday)
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
Transitive Maps on Topological Spaces
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.
LI-Yorke sensitivity and other concepts of chaos
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.
