In this paper was studied the attention properties of students aged 12—17 who are living in different climatic regions: the city of Surgut in the Khanty-Mansiysk Autonomous District and in rural areas of the middle Russia (Samara Region). The students of the first group live in the extreme climatic conditions of the North, aggravated by the adverse social and environmental factors of urbanization. The students of the second group live in a climatically and environmentally friendly area, with minimal impact of man-made pollution. The method used to estimate the attention of Bourdon, in the modification proposed by the Soviet psychologist P.A. Rudik. A comparative statistical analysis of the results obtained the attention properties of different groups of students are carried out. The dynamics of changes in the K, E, A indices during the test was estimated, the coefficients for the whole test and for each minute of the experiment were calculated too. Specific features of the development of student’s attention: identified according age, gender differences, differences in the development of indicators of attention of students in two different schools. Significant differences (P<0.001) in the distribution and productivity of attention were revealed, the coefficient of productivity of attention of students in Surgut was 1.15 times lower than that of their peers in the Samara region. According to new theory of chaos-selforganization it was calculated the quasiattractors volume V for three coordinates Zi (coefficient of attention concentration, attention quality, attention production). It was demonstrated the maximum volume V of quasiattractor for 14—15 year old pupils of Surgut. Very small volume V demonstrates pupils of 16—17 year of Samara district. Reducing the size of quasi-tractors demonstrates a decrease in variation range and represents a greater consolidation of the group in terms of studied parameters (large volumes of quasi-tractors in Surgut population can indicate a large variation in parameters of attention and performance).

Limited applicability of stochastics and comparing it with the new methods of multidimensional phase space were showed. Quantitative measures of the parameters are quasi-attractors for evaluation of chaotic dynamics on the example of the little finger abductor muscle. Method of multidimensional phase space carried out the study and modeling of complex biological objects (complexity). The state of the neuromuscular system is studied in two modes: a weak muscle tension and strong, almost the maximum force. Used quasi-attractors volumes of multidimensional phase spaces, which provide the identification of real changes in the parameters of the functional state with weak muscles (F1=5 daN) and strong (F2=10 daN) static stress. Analysis of the timebase signal x1(t) obtained with myograph, and autocorrelation functions A(t) signal showed their unrepeatability. Comparative analysis of the biomechanical system is made on the basis of registration of quasi-attractor’s volume, as well as on the basis of analysis of the Shannon’s entropy E. Volume of quasi-attractor’s movements x1(t) и x2(t)=dx1/dt at low load is slightly less than similar amounts of displacement of vector (х1, х2)Т  under a heavy load of musculus abductor digiti mini. The values ??of the Shannon entropy under a heavy load are statistically unchanged. Values of the Shannon entropy under heavy load, not statistically vary on the advisability of entropy approach in the assessment of muscular efforts and the impossibility of application of the theorem of Glansdorff—Prigogine (thermodynamics of nonequilibrium systems) in psychophysiological research. Overall, restricting the use of methods of stochastics and the possibility of using the method of multidimensional phase spaces, have been demonstrated in the Eskov—Zinchenko effect.