Article ID Journal Published Year Pages File Type
4669276 Bulletin des Sciences Mathématiques 2009 7 Pages PDF
Abstract

In this paper, generalized center condition and integrability of degenerate resonant singular point for a class of complex polynomial differential system were studied. The method was based on a homeomorphic transformation of the degenerate singular point into elementary singular point, which allows us to compute the generalized singular point quantities and determine the generalized center condition for the origin. In the end, we obtained the necessary and sufficient conditions of generalized complex center of degenerate resonant singular point.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)