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IMCS/Publications/BASM/Issues/BASM n.1 (41), 2003/

Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English)

Authors: Şubă Alexandru

Abstract

For cubic differential system with three invariant straight lines which pass through the same point it is proved that a singular point with purely imaginary eigenvalues (weak focus) is a center if and only if the focal values g2j+1,j=1..5, vanish.

Faculty of Mathematics and Informatics
State University of Moldova
MD-2009 Chisinau, Moldova
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