| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1899542 | Physica D: Nonlinear Phenomena | 2013 | 9 Pages |
Abstract
We investigate the local integrability of a family of three dimensional quadratic systems in a neighborhood of (0:â1:1) resonant singular point. We find the necessary and sufficient conditions for the existence of two functionally independent first integrals of the system. Mechanisms for integrability for the systems are either time-reversibility or Darboux integrability.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhaoping Hu, Maoan Han, Valery G. Romanovski,