Abstract
© 2016 Elsevier Inc. 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.
Original language | English |
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Pages (from-to) | 893-899 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 441 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Sep 2016 |
Keywords
- Nilpotent center
- Poincaré-Liapunov constants