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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 512.66+517.951+519.677

Received: 14.04.2004

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2006, 133:4, 1464–1476

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© Steklov Math. Inst. of RAS, 2025