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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 258, Pages 262–279 (Mi znsl1042)  
Problems of stability of dynamic systems and computer algebra

A. V. Banshchikov, L. A. Burlakova, V. D. Irtegov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (273 kB)
Abstract: This paper presents examples of some problems of stability of motion, for solving which computer algebra systems (CAS) have been used. We have experience of developing and applying problem-oriented systems of symbolic computations and applied software packages in solving problems of dynamics of multi-body systems [1, 2]. The algorithms under consideration are implemented completely or partially with the aid of state-of-the-art CAS. They are intended for inclusion in the package of symbolic computation “Stability” [2].
Received: 20.05.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 6, Pages 1094–1108
DOI: https://doi.org/10.1023/A:1013504824807
Bibliographic databases:
UDC: 531/3.37+681.3
Language: English
Citation: A. V. Banshchikov, L. A. Burlakova, V. D. Irtegov, “Problems of stability of dynamic systems and computer algebra”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IV, Zap. Nauchn. Sem. POMI, 258, POMI, St. Petersburg, 1999, 262–279; J. Math. Sci. (New York), 108:6 (2002), 1094–1108
Citation in format AMSBIB
\Bibitem{BanBurIrt99}
\by A.~V.~Banshchikov, L.~A.~Burlakova, V.~D.~Irtegov
\paper Problems of stability of dynamic systems and computer algebra
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~IV
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 258
\pages 262--279
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1042}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1755831}
\zmath{https://zbmath.org/?q=an:1168.34300}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 6
\pages 1094--1108
\crossref{https://doi.org/10.1023/A:1013504824807}
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