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Avtomatika i Telemekhanika, 2004, Issue 12, Pages 62–84 (Mi at1674)  

This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

On bifurcation of large-amplitude stable cycles for equations with hysteresis

D. I. Rachinskii

Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (329 kB) Citations (1)
References:
Abstract: Consideration was given to the autonomous control systems with complex nonlinear hysteresis feedback (the Ishlinskii model with an infinite-dimensional state space). Conditions were proposed for existence of large-amplitude autooscillations appearing from infinity at the Andronov–Hopf bifurcation when the parameters of the linear unit are modified.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 07.08.2004
English version:
Automation and Remote Control, 2004, Volume 65, Issue 12, Pages 1915–1937
DOI: https://doi.org/10.1023/B:AURC.0000049877.36011.af
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. I. Rachinskii, “On bifurcation of large-amplitude stable cycles for equations with hysteresis”, Avtomat. i Telemekh., 2004, no. 12, 62–84; Autom. Remote Control, 65:12 (2004), 1915–1937
Citation in format AMSBIB
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\paper On bifurcation of large-amplitude stable cycles for equations with hysteresis
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\issue 12
\pages 1915--1937
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Linking options:
  • https://www.mathnet.ru/eng/at1674
  • https://www.mathnet.ru/eng/at/y2004/i12/p62
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:180
    Full-text PDF :45
    References:28
    First page:2
     
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