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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1981 Issue 10, Pages 43–52 (Mi at5955)

Stochastic Systems

Bottlenecks of distributed systems in face of random disturbances. I. Distributed disturbances

A. P. Korostelev

Moscow

Abstract: A distributed system is considered which is described by a parabolic equation with small random disturbances in the righthand side. Deflection of states of such a system from that of an undisturbed (deterministic) system is investigated. The concept of a bottleneck is introduced as a point in a spatial region where the deflection magnitude is at its largest. Algorithms for numerical computation of bottlenecks are specified.

UDC: 65.012.122


Received: 12.09.1980


 English version:
Automation and Remote Control, 1981, 42:10, 1316–1323

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© Steklov Math. Inst. of RAS, 2026