Experimental modeling of ball lightning (BL) interaction with window glasses has been made with a help of tree types of experiments where metallic spiral heated by a current and laser irradiation heated the window glass. ParametersofBL interaction with the glass at which could appear fractures leading to falling out of gall fragments have been determined.

In the paper we examine and discuss the results of original research of dynamics of climatic and ecological factors by the example of northern urbanized KMAO – Yugra (Surgut and Surgut district) from the perspective of theory of chaos and self-organization. The peculiarities and laws of the dynamic behavior of a time trend of climate and ecologic factors as indicators of dynamic system are discovered, the most informative components of the abiotic factors in the long-term dynamics are identified.

Traditional biological science (biophysics, systems analyses of biosystems) stationary mode of biosystems describes according to equation dx/dt=0 for the systems state vector x=x(t)=(x1, x2,…xm)T. But real biosystems demonstrated uninterrupted chaotic dynamics when dx/dt≠0 is always uninterrupted. The authors present two types of approaches to stationary mode investigation for biosystems. The first approach is based on the compartmental-cluster theory and the second approach is based on the theory of chaos-self-organization. The last is more convenient for real biosystems description because there are pragmatic results of its use. The compartmental-cluster approach may be used for real complex biosystems and the authors present some typical examples of such theory. The stationary mode of hierarchical neural networks were illustrated according to specific audi - analyzator. It was demonstrated that short intervals of tremogram demonstrate the real difference of distribution function parameters. As a result of such experiments – the classical statistics methods don’t usefulness for investigation of postural tremor. The tremogram, cardiogram, encephalogram are the systems of third type. The main idea consists of uninterrupted chaotic movements (glimmering property) of system’s vector in phase space of state and evolution of such system’s state vector in phase space of state. The glimmering property and evolution don’t have properties which can be modeled by traditional deterministic and stochastic approaches.

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Бикмухаметова Дильбар Наилевна, доцент, к.т.н., доцент USING INTERACTIVE TEACHING METHODS IN THE STUDY OF MATHEMATICAL DISCIPLINES IN THE UNIVERSITYAnnotation. The results of training in the University are inextricably linked with mastering the method of mathematical modeling as a method of studying objects of reality. This requires the improvement of the educational process, which is associated with the updating of forms of learning on an interactive basis. One of the most interesting methods that allows you to actively form professional competencies is the method of projects. This method allows you to actively use the knowledge and skills obtained in the study of mathematics and special disciplines for solving practical problems.