Electronic Journal of Differential Equations, Vol. 2005(2005), No. 133, pp. 1-10. Title: Uniformly isochronous polynomial centers Authors: Vladimir V. Ivanov (Sobolev Inst. of Math., Novosibirsk, Russia) Evgenii P. Volokitin (Sobolev Inst. of Math., Novosibirsk, Russia) 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.