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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 274–283 (Mi timm986)  
This article is cited in 3 scientific papers (total in 3 papers)

Stability of autoresonance models under perturbations that are bounded in the mean

O. A. Sultanov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (183 kB) Citations (3)
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Abstract: The paper is devoted to investigating the stability of growing solutions of nonlinear equations related to the autoresonance phenomenon. The stability of these solutions under persistent perturbations is analyzed. A class of perturbations is introduced, and its properties that provide the stability of autoresonance are described. The argument is based on the existence on the Lyapunov function of the unperturbed systems.
Keywords: autoresonance, stability, asymptotics, perturbations.
Received: 23.04.2012
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: O. A. Sultanov, “Stability of autoresonance models under perturbations that are bounded in the mean”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 3, 2013, 274–283
Citation in format AMSBIB
\Bibitem{Sul13}
\by O.~A.~Sultanov
\paper Stability of autoresonance models under perturbations that are bounded in the mean
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 3
\pages 274--283
\mathnet{http://mi.mathnet.ru/timm986}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3363321}
\elib{https://elibrary.ru/item.asp?id=20234995}
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  • https://www.mathnet.ru/eng/timm/v19/i3/p274
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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