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Avtomatika i Telemekhanika, 2013, Issue 1, Pages 59–78 (Mi at4286)  
Nonlinear Systems

On parametric instability of singularly perturbed systems

A. A. Martynyuk, A. S. Khoroshun

Timoshenko Institute of Mechanics, Academy of Sciences of Ukraine, Kiev, Ukraine
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Abstract: Consideration is given to the class of singularly perturbed systems that admit the separation into a slow subsystem and a boundary layer. On the basis of some suppositions as to behavior of stated subsystems, sufficient conditions of instability of a moving equilibrium state are assigned for the system considered under parametric perturbations.
Presented by the member of Editorial Board: G. A. Leonov

Received: 09.04.2012
English version:
Automation and Remote Control, 2013, Volume 74, Issue 1, Pages 46–61
DOI: https://doi.org/10.1134/S0005117913010050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Martynyuk, A. S. Khoroshun, “On parametric instability of singularly perturbed systems”, Avtomat. i Telemekh., 2013, no. 1, 59–78; Autom. Remote Control, 74:1 (2013), 46–61
Citation in format AMSBIB
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\pages 46--61
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