Main Areas of Research

• Social ontology of Russia.

• Younger generation problems in Russia at the turn of the century.

• Development of recommendations to the RF government.

• Writing textbooks and handbooks in philosophy and cultural studies.

Main Lines of Training

• Teaching philosophy to undergraduate and graduate students.

• Training of doctoral and postdoctoral students in social philosophy.

Since opening a postgraduate programme at the department in 1986, ten doctoral students have successfully defended their theses and received PhD degrees in philosophy.

Major Research Results

• Patterns and regularities of the multinational state development in the second half of the XX century have been formulated. The definition of the term “nation” has been qualified.

• The current social situation in Russia has been analysed. The conclusions and recommendations have been sent to the RF government.

• The current social structure of Russia has been analysed and possible ways of its further development have been proposed.

• The crisis of the Russian younger generation has been stated based on the collected data and ways for getting this crisis over have been suggested.

Fractal Structures and Dynamic Systems

Higher Mathematics Department

Leader of the School

Prof. V. A. Seleznyev, head of the higher mathematics department, Corresponding Member of the Petrovskaya Academy of Sciences and Arts. He is the author of over 60 papers including 1 monograph and 5 teaching manuals. He has supervised research of 1 postdoctoral and 8 doctoral students who successfully defended their theses in mathematics. Prof. Seleznev is Vice-Chairman of a specialised Board conferring the Cand. Sc. degree.

History of the School

The scientists of the school are concerned with the development of mathematical tools of fractal structures of dynamic systems and mesostructures that are non-equilibrium systems. The school emerged in the late 1980s when it branched off from the school of the geometric theory of functions and the qualitative theory of differential equations proposed by Academician M. A. Lavrentyev together with Prof. V. N. Monakhov, Corresponding Member of the USSR Academy of Science and Prof. P. P. Belinsky. The school was created at the NSTU department of higher mathematics in close co-operation with the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. Members of the school took an active part in the work of the city intercollegiate scientific seminar “Fractal structures and dynamic systems” under the direction of Prof. V. A. Seleznev, head of the department.

Currently the core of the school is formed by a group of mathematicians, mechanics and physicists interested in the theory and simulation of fractal structures in dynamic systems and general iteration processes, fundamentals of computational and computer geometry and dynamic flows in infomedia. The list of these researchers includes such competent and qualified specialists as Prof. V. V. Aseev, D. Sc. (Phys. & Math.), Prof. V. P. Golubyatnikov, D. Sc. (Phys. & Math.), Prof. V. I. Kruglikov, D. Sc. (Phys. & Math.), Prof. D. L. Tkachev, D. Sc. (Phys. & Math.), and others.

At the moment 14 staff members, 3 postdoctoral and 5 doctoral students are involved in doing research within the school.