V. Almukhametov
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The equilibrium state of a social or economic system can be steady or unstable owing
to internal interactions and contradictions. To study dynamics the author used the
spatial structure of phase portraits in the form of topologies of interaction among the key parameters of the process. Experiments involving the diX erential calculus methods showed that there are possibilities for analysis and stabilisation of processes.
Key words: dynamics, process, topology, stability.
References
1. Al’mukhametov V. Avtokolebaniya, krizisy i khaos. Modelirovanie yavleniy v prirode i obshchestve // LAP LAMBERT Academic Publishing GmbH & Co.KG. 2011. 74 s.
2. Al’mukhametov V. Fazovyi portret kak sredstvo analiza dinamicheskikh protsessov // Ekonomicheskiy analiz. Teoriya i praktika. 2009. № 29. S. 59–64.
3. Dolgova E. V., Kuleshov P. V., Fayzrakhmanov R. A., Malyshev Yu. A. Neyrosetevoe upravlenie resursami v strukturnom podrazdelenii predpriyatiya // Pribory i sistemy. Upravlenie, kontrol’, diagnostika. 2006. № 7. S. 61–66.
4. Takens F. Detecting strange attractors in turbulence // D. A. Rand, L.-S. Young. Dynamical Systems and Turbulence: Lecture Notes in Mathematics. Vol. 898. Springer-Verlag. P. 366–381.
5. Fayzrakhmanov R. A., Lipatov I. N. Tsifrovoe modelirovanie sluchaynogo protsessa s ispol’zovaniem formiruyushchego l’tra // Vestnik Izhevskogo gosudarstvennogo tekhnicheskogo universiteta. 2011. № 1. S. 135–138.
