© 2019, Springer Science+Business Media, LLC, part of Springer Nature. The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of polynomial differential systems of arbitrary even degree. Moreover, we classify the global phase portraits in the Poincaré disc of the centers of this family having degree 2, 4, and 6.
|Journal||Journal of Dynamical and Control Systems|
|Publication status||Published - 15 Oct 2019|
- First integral
- Invariant algebraic curve
- Poincaré compactification
Llibre, J., Mousavi, M., & Nabavi, A. (2019). New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree. Journal of Dynamical and Control Systems, 25, 619-630. https://doi.org/10.1007/s10883-019-09432-x