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Avtomatika i Telemekhanika, 1980, Issue 10, Pages 21–29 (Mi at7194)  
Deterministic Systems

Conditions for in stability in systems of interacting subsystems and their application to chemical kinetics problems

V. N. Orlov

Moscow
Full-text PDF (1718 kB)
Abstract: The problem of stability of the equilibrium in a system of identical subsystems which exchange resources is reduced to investigation of the Jacobi matrix properties for a subsystem. In terms of matrix elements conditions for instability to arise are given. Examples of diffusional instability of the equilibrium position in equations of chemical kinetics are discussed.

Received: 19.12.1979
Bibliographic databases:
Document Type: Article
UDC: 62-501.42:541.124
Language: Russian
Citation: V. N. Orlov, “Conditions for in stability in systems of interacting subsystems and their application to chemical kinetics problems”, Avtomat. i Telemekh., 1980, no. 10, 21–29; Autom. Remote Control, 41:10 (1981), 1349–1356
Citation in format AMSBIB
\Bibitem{Orl80}
\by V.~N.~Orlov
\paper Conditions for in stability in systems of interacting subsystems and their application to chemical kinetics problems
\jour Avtomat. i Telemekh.
\yr 1980
\issue 10
\pages 21--29
\mathnet{http://mi.mathnet.ru/at7194}
\zmath{https://zbmath.org/?q=an:0465.93007}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 41
\issue 10
\pages 1349--1356
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