© 2016 World Scientific Publishing Company. We study polynomial vector fields of arbitrary degree in ℝ3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore, we analyze when these invariant meridians and parallels can be limit cycles.
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publication status||Published - 1 Aug 2016|
- Polynomial vector field
- invariant meridian
- invariant parallel
- limit cycle
- periodic orbit