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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 312, Pages 165–187 (Mi znsl779)  

On computer-aided solving differential equations and stability study of markets

D. A. Leites

Max Planck Institute for Mathematics in the Sciences
References:
Abstract: For any nonholonomic manifold, i.e., a manifold with nonintegrable distribution, I define an analog of the Riemann curvature tensor and refer to Grozman's package SuperLie with the help of which the tensor had been computed in several cases. Being an analog of the usual curvature tensor this invariant characterizes (in)stability of any nonholonomic dynamical system, in particular, of markets.
Received: 14.04.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 4, Pages 1464–1476
DOI: https://doi.org/10.1007/s10958-006-0062-5
Bibliographic databases:
UDC: 512.66+517.951+519.677
Language: English
Citation: D. A. Leites, “On computer-aided solving differential equations and stability study of markets”, Representation theory, dynamical systems. Part XI, Special issue, Zap. Nauchn. Sem. POMI, 312, POMI, St. Petersburg, 2004, 165–187; J. Math. Sci. (N. Y.), 133:4 (2006), 1464–1476
Citation in format AMSBIB
\Bibitem{Lei04}
\by D.~A.~Leites
\paper On computer-aided solving differential equations and stability study of markets
\inbook Representation theory, dynamical systems. Part~XI
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 312
\pages 165--187
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl779}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117889}
\zmath{https://zbmath.org/?q=an:1114.37037}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 4
\pages 1464--1476
\crossref{https://doi.org/10.1007/s10958-006-0062-5}
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