Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610685 | Journal of Differential Equations | 2014 | 16 Pages |
Abstract
For an analytic differential system in Rn with a periodic orbit, we will prove that if the system is analytically integrable around the periodic orbit, i.e. it has nâ1 functionally independent analytic first integrals defined in a neighborhood of the periodic orbit, then the system is analytically equivalent to its Poincaré-Dulac type normal form. This result is an extension of analytically integrable differential systems around a singularity to the ones around a periodic orbit.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kesheng Wu, Xiang Zhang,