Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614291 | Journal of Mathematical Analysis and Applications | 2016 | 7 Pages |
Abstract
We prove that all the nilpotent centers of planar analytic differential systems are limit of centers with purely imaginary eigenvalues, and consequently the Poincaré–Liapunov method to detect centers with purely imaginary eigenvalues can be used to detect nilpotent centers.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Isaac A. García, Héctor Giacomini, Jaume Giné, Jaume Llibre,