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Exactly Solvable Models in Mathematical Physics
August 3-8, 1998
South Ural State University
Chelyabinsk, Russia

Organizers
Anjan Kundu, Alexander B. Borisov, Arlen M. Il'in, Igor G. Korepanov, Vladimir E. Korepin, Yuri G. Stroganov

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Dynamical systems admitting the normal shift
by
Ruslan Sharipov
Bashkir State University, Frunze str. 32, 450074, Ufa, Russia

The normality equations for the Dynamical systems admitting the normal shift in the dimension 3 is reduced to the ODE of the form
y'' = Fy(x, y)(y'+1) + Fx(x, y).
Equivalence problem for the equations of this class is discussed. Exact compputational algorithm for the point-invariants of wider class of ODE is suggested.

Date received: March 6, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaw-11.