MOSCOW SYNERGETIC SCHOOL (The)
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(2) |
| ID | ◀ 2212 ▶ |
| Object type | General information |
This scientific school, a part of the Keldysh Institute of Applied Mathematics
(Prof. S.P. KUDYUMOV) and the Institute of Mathematical Modeling (Prof. A.A. SAMARSKII) of the Russian Academy of Sciences, is the leading school in the field of synergetics (the theory of self-organization and evolution of complex systems) in Russia.
Its activity is centered on the exploration of very fast developing processes and of their self-strengthening in open nonlinear media, so-called blow-up regimes as well as various types of blow-up in the bibliographic section.
“The research is focused on the analytical methods of solution based on complicated nonlinear equations … as well as on computer experiments with evolutionary processes in open nonlinear systems . Synergetics is developed … as a theory of non-stationary localized dissipative structures which are a new type of ordered structures in systems with nonlinear positive feedbacks . (It is) viewed as a theory of fast evolutionary processes, the formation of localized structures , theirtransformations ,co-evolution , synthesis and decay ”.
The main lines of research are defined as follows:
“1. The investigation of mechanisms of theprocesses localization in form of structures of an opennonlinear medium …
“2. The idea of discrete spectra ofdissipative structures-attractors in open nonlinear media has been propounded…
“3. The exploration of very fast developping processes and of their self-strenghtening in open nonlinear media ,(so-called blow upregimes …)
“4. … the principles of integration , construction of complex structures from structures which develop with different speeds and are at different stages of evolution.
“5. The revelation of the principles of nonlinear management (the crucial role of weak, but topologically rightly organized influences uponcomplex systems for effective management” (Quotes from a pers. comm. by Prof. Elena KNYAZEVA, (knyazeva@iph.ras.ru)