Electron. J. Diff. Eqns., Vol. 2005(2005), No. 133, pp. 1-10.

Uniformly isochronous polynomial centers

Vladimir V. Ivanov, Evgenii P. Volokitin

Abstract:
We study a specific family of uniformly isochronous polynomial systems. Our results permit us to solve a problem about centers of such systems. We consider the composition conjecture for uniformly isochronous polynomial systems.

Submitted April 14, 2005. Published November 25, 2005.
Math Subject Classifications: 34C05, 34C25.
Key Words: Center conditions; isochronous; commutative.

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Vladimir V. Ivanov
Sobolev Institute of Mathematics
Novosibirsk, 630090, Russia
Evgenii P. Volokitin
Sobolev Institute of Mathematics
Novosibirsk, 630090, Russia
email: volok@math.nsc.ru

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