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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 3, Pages 87–103 (Mi vuu170)  
This article is cited in 10 scientific papers (total in 10 papers)

MATHEMATICS

Defect of stability in game-pursuit problem

V. N. Ushakov, A. R. Matviychuk, P. D. Lebedev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (569 kB) Citations (10)
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Abstract: The article is about the sets in the phase space of a game-pursuit problem, which are not stable in general. Conception of the stability defect is researched. The sets with simple geometry are constructed based on the stability defect, the extremal aiming on them provides the achieving of the goal set neighborhood for the first player.
Keywords: game pursuit problem, stable bridge, Hamiltonian, stability defect of the set.
Received: 01.03.2010
Bibliographic databases:
Document Type: Article
UDC: 517.917
MSC: 37C75
Language: Russian
Citation: V. N. Ushakov, A. R. Matviychuk, P. D. Lebedev, “Defect of stability in game-pursuit problem”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3, 87–103
Citation in format AMSBIB
\Bibitem{UshMatLeb10}
\by V.~N.~Ushakov, A.~R.~Matviychuk, P.~D.~Lebedev
\paper Defect of stability in game-pursuit problem
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2010
\issue 3
\pages 87--103
\mathnet{http://mi.mathnet.ru/vuu170}
\elib{https://elibrary.ru/item.asp?id=15112953}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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    References:61
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