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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2006, Volume 12, Number 1, Pages 109–141 (Mi timm138)  
This article is cited in 5 scientific papers (total in 6 papers)

Buffer phenomenon in systems close to two-dimensional Hamiltonian ones

A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov
Full-text PDF (726 kB) Citations (6)
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Abstract: Plane Hamiltonian systems perturbed by small time-periodic terms are considered. The conditions are established under which exponentially stable periodic solutions are accumulated infinitely in these systems as the perturbations tend to zero or, in other words, the buffer phenomenon occurs. It is shown that this phenomenon is typical for a wide range of classical mechanical problems described by equations of the pendulum type.
Received: 15.01.2006
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2006, Volume 253, Issue 1, Pages S117–S150
DOI: https://doi.org/10.1134/S0081543806050105
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Buffer phenomenon in systems close to two-dimensional Hamiltonian ones”, Dynamical systems: modeling, optimization, and control, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 1, 2006, 109–141; Proc. Steklov Inst. Math., 253, suppl. 1 (2006), S117–S150
Citation in format AMSBIB
\Bibitem{KolMisRoz06}
\by A.~Yu.~Kolesov, E.~F.~Mishchenko, N.~Kh.~Rozov
\paper Buffer phenomenon in systems close to two-dimensional Hamiltonian ones
\inbook Dynamical systems: modeling, optimization, and control
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 1
\pages 109--141
\mathnet{http://mi.mathnet.ru/timm138}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2246991}
\zmath{https://zbmath.org/?q=an:1122.37016}
\elib{https://elibrary.ru/item.asp?id=12040723}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 253
\issue , suppl. 1
\pages S117--S150
\crossref{https://doi.org/10.1134/S0081543806050105}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746883944}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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