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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1981 Issue 11, Pages 83–89 (Mi at6045)

Stochastic Systems

Bottlenecks of distributed systems in face of random disturbances. II

C. E. Kenig, A. P. Korostelev

Moscow

Abstract: A distributed system which is described by a parabolic equation with small random disturbances in the right-hand side is discussed. Deflection of states of such a system from those of undisturbed (deterministic) system is studied. A concept is introduced of a bottleneck as a point in the spatial region where the deflection is at its largest. Algorithms for numerical determination of bottlenecks are indicated.

UDC: 65.012.122


Received: 12.09.1980


 English version:
Automation and Remote Control, 1981, 42:11, 1497–1502

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© Steklov Math. Inst. of RAS, 2024