Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668810 | Bulletin des Sciences Mathématiques | 2014 | 14 Pages |
Abstract
On the basis of some works on persistent centers and weakly persistent centers, in this paper we discuss a generalized version of persistent center and weakly persistent center for complex planar differential systems, in which conjugacy of variables may not be required. We give some complex systems which have a persistent center or weakly persistent center at the origin. Then, we find all conditions of persistent center for cubic systems and all conditions of weakly persistent center for complex cubic Lotka–Volterra system. Relations between complex systems and real ones are given concerning persistent centers and weakly persistent centers.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xingwu Chen, Valery G. Romanovski, Weinian Zhang,