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Geometry and Applications
March 13-16, 2000
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University
Novosibirsk, Russia

Organizers
Yu.G. Rushetnyak (Chair of Program Committee; Russia), V.V. Vershinin (Chair of Organizing Committee; Russia), A.A. Borisenko (Ukraine), Yu.D. Burago (Russia), V.M. Gol'dshtein (Israel), M.L. Gromov (France), I.G. Nikolaev (USA/Russia), S.P. Novikov (USA/Russia), A.V. Pogorelov (Ukraine), I.Kh. Sabitov (Russia)

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Polynomial differential systems with uniformly isochronous centers
by
E.P. Volokitin
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia

We consider a planar differential system
dx/dt = -y + x P(x, y), dy/dt = x + y P(x, y)
where P(x, y) is a homogeneous polynomial. We prove that the fulfilment of the center conditions for a such system leads to the existence of a nontrivial polynomial system commuting with a given system.

Date received: January 24, 2000

Copyright © 2000 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 # cadw-06.