Andronov-Hopf Bifurcation for Relay Systems

We describe the structure of a monodromy matrix of periodic solutions for relay systems that makes it possible to derive the general criterion for the orbital exponential stability of the cycle. The given theorem is used to develop an analog to the Andronov-Hopf bifurcation theorem.

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Bibliographic Details
Main Author: O. A. Chernysheva
Format: Article
Language:English
Published: Yaroslavl State University 2007-06-01
Series:Моделирование и анализ информационных систем
Online Access:https://www.mais-journal.ru/jour/article/view/1131
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Description
Summary:We describe the structure of a monodromy matrix of periodic solutions for relay systems that makes it possible to derive the general criterion for the orbital exponential stability of the cycle. The given theorem is used to develop an analog to the Andronov-Hopf bifurcation theorem.
ISSN:1818-1015
2313-5417