In the conditions of Russian North recreation activity is usually carried out by means of latitudinal displacement from North to South and realization of health-related activity. Herein a regular question about of their effectiveness arises. Tradition statistic methods of parameter evaluation of the cardiovascular system (CVS) homeostasis of a person, in this case, show poor efficiency; often they do not show differences between the organism's state before and after the treatment. The aim of the research was to study the effect of latitudinal movements on the process of functional systems changes of children's organisms. Information on the indices state of cardiovascular system of schoolchildren was acquired by the method of pulseintervalography on the basis of the pulse oximeter "EL0KS-01". The CVS parameters of schoolchildren were analyzed in the process of latitudinal displacement (from north to south of the Russian Federation and vice versa). The result of the study showed that a two weeks' vacation in the south reduced the quasi-attractors' size of the vector state of children's organisms in the six-dimensional phase space of states (m = 6) and partially normalized the indices of their cardiorespiratory system. The volume of quasi-attractors (m = 6) after returning to Surgut decreased 2,3 times in boys and 4,7 times in girls in comparison with the state before leaving to the south. However, the reaction in girls was more expressed and persistent than in boys, who showed a partial return to their original state (before departure) after their return from the south. In fact, girls show an exponential decrease of quasi-attractors volumes, and boys - a parabolic type depending on VG from the type of stay (registration). Similar dynamics was observed in age-related changes of quasi-attractors volumes of cardiointervals of Khanty women (decrease in volumes with age) and newcomers (they had a parabola for quasi-attractors of cardiointervals). Conclusion: calculation of the parameters of CVS quasi-attractors shows a significant difference in all diagnostic parameters from the results of statistical processing of primary data.