© 2017, Springer Science+Business Media Dordrecht. For a dynamical system described by a set of autonomous differential equations, an attractor can be either a point, or a periodic orbit, or even a strange attractor. Recently a new chaotic system with only one parameter has been presented where besides a point attractor and a chaotic attractor, it also has a coexisting attractor limit cycle which makes evident the complexity of such a system. We study using analytic tools the dynamics of such system. We describe its global dynamics near the infinity, and prove that it has no Darboux first integrals.
|Journal||Mathematical Physics Analysis and Geometry|
|Publication status||Published - 1 Jun 2017|
- Chaotic system
- Darboux integrability
- Poincaré compactification