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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 1, Pages 101–117 (Mi sjvm461)  
This article is cited in 3 scientific papers (total in 3 papers)

Iterative algorithm of defining the stability of oscillations equation with damping

V. I. Tarakanov, S. A. Lysenkova

Surgut State University, Surgut
Full-text PDF (476 kB) Citations (3)
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Abstract: The problem of studying parametric oscillations with damping is reduced to a spectral problem for a linear bunch of operators in the Hilbert space. Such spectral problem has an efficient algorithm of its solution. The boundaries of the first stability domain for different values of the damping factor and a special form of the periodic function being a part of the equation have been calculated.
Key words: operator, spectrum, iterative algorithm, parametric vibration, stability.
Received: 23.12.2010
Revised: 26.04.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 1, Pages 84–98
DOI: https://doi.org/10.1134/S1995423912010089
Bibliographic databases:
Document Type: Article
UDC: 519.632.6+519.624.2+519.642
Language: Russian
Citation: V. I. Tarakanov, S. A. Lysenkova, “Iterative algorithm of defining the stability of oscillations equation with damping”, Sib. Zh. Vychisl. Mat., 15:1 (2012), 101–117; Num. Anal. Appl., 5:1 (2012), 84–98
Citation in format AMSBIB
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\by V.~I.~Tarakanov, S.~A.~Lysenkova
\paper Iterative algorithm of defining the stability of oscillations equation with damping
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\pages 101--117
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\transl
\jour Num. Anal. Appl.
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\pages 84--98
\crossref{https://doi.org/10.1134/S1995423912010089}
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  • https://www.mathnet.ru/eng/sjvm/v15/i1/p101
    • This publication is cited in the following 3 articles:
    1. V. I. Tarakanov, A. O. Dubovik, “Iterative algorithm for calculation of spectral parameters of a quadratic bunch of operators in the Hilbert space”, Num. Anal. Appl., 8:1 (2015), 68–80  mathnet  crossref  mathscinet  elib
    2. V. I. Tarakanov, S. A. Lysenkova, M. V. Nesterenko, “Iterative scheme of finding a spectrum of the product of two non-commutative operators”, Num. Anal. Appl., 7:4 (2014), 345–358  mathnet  crossref  mathscinet
    3. V. I. Tarakanov, S. A. Lysenkova, M. V. Nesterenko, “The precession of a parametric oscillation pendulum with the Cardano suspension”, Num. Anal. Appl., 6:4 (2013), 337–347  mathnet  crossref  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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