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

D. A. Leites

Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part XI, Tome 312 (2004), pp. 165-187

Résumé

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.

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