| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615855 | Journal of Mathematical Analysis and Applications | 2014 | 9 Pages |
Abstract
To characterize when a nilpotent singular point of an analytic differential system is a center is of particular interest, first for the problem of distinguishing between a focus and a center, and second for studying the bifurcation of limit cycles from it or from its period annulus. We provide necessary conditions for detecting nilpotent centers based on recent developments. Moreover we survey the last results on this problem and illustrate our approach by means of examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jaume Giné, Jaume Llibre,