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 selfstrengthening in open nonlinear media, socalled 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, their transformations, co-evolution, synthesis and decay".
The main lines of research are defined as follows:
"1. The investigation of mechanisms of the processes localization in form of structures of an open nonlinear medium…
"2. The idea of discrete spectra of dissipative structures-attractors in open nonlinear media has been propounded…
"3. The exploration of very fast developing processes and of their self-strenghtening in open nonlinear media,(so-called blow up regimes…)
"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 upon complex systems for effective management" (Quotes from a pers. comm. by Prof. Elena KNYAZEVA, (firstname.lastname@example.org)
- 1) General information
- 2) Methodology or model
- 3) Epistemology, ontology and semantics
- 4) Human sciences
- 5) Discipline oriented
To cite this page, please use the following information:
Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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