In this article we study the Darboux integrability of the polynomial differential systems x = y- x2, y; = z- x, z =-d- ax- by- cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. The tools used here for studying the Darboux integrability can be applied to arbitrary polynomial differential systems in ℝ3.
|Journal||Bulletin of the Belgian Mathematical Society - Simon Stevin|
|Publication status||Published - 1 Jan 2013|
- Darboux integrability
- Darboux polynomial