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Avtomatika i Telemekhanika, 2008, Issue 7, Pages 19–28 (Mi at682)  
This article is cited in 1 scientific paper (total in 1 paper)

Deterministic Systems

On torus Burth bifurcations in the pulse-width system

Zh. T. Zhusubaliev

Kursk State Technical University
Full-text PDF (479 kB) Citations (1)
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Abstract: The dynamics of the pulse-width system described by nonautonomous piecewise smooth differential equations is studied. In the parameter plane domains of different dynamic behaviour are determined both analytically and numerically. A special type of C-bifurcation resulting in the invariant torus birth from a stable equilibrium is discovered. It is shown that the periodic motion due to this bifurcation arises as an unstable focal cycle surrounded by a resonance or ergodic torus.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 10.01.2007
English version:
Automation and Remote Control, 2008, Volume 69, Issue 7, Pages 1117–1125
DOI: https://doi.org/10.1134/S0005117908070023
Bibliographic databases:
Document Type: Article
PACS: 05.45.Gg, 05.45.Pq
Language: Russian
Citation: Zh. T. Zhusubaliev, “On torus Burth bifurcations in the pulse-width system”, Avtomat. i Telemekh., 2008, no. 7, 19–28; Autom. Remote Control, 69:7 (2008), 1117–1125
Citation in format AMSBIB
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\paper On torus Burth bifurcations in the pulse-width system
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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