| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1897813 | Physica D: Nonlinear Phenomena | 2010 | 6 Pages |
Abstract
We consider the differential system ẋ=y, ẏ=z, ż=c2−y−x2/2 in R3R3, where cc is a real parameter. This differential system is known as the Michelson system and its dynamics has been studied during these last twenty five years but nothing was known up to now on its integrability. We show that for any value of cc the Michelson system is neither global analytic, nor Darboux integrable.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jaume Llibre, Clàudia Valls,