© 2018 Independent University of Moscow. In this paper we study the mechanisms that provide linear type centers in the polynomial differential systems. These mechanisms are the algebraic reducibility and the Liouvillian integrability. We state a conjecture and some open questions. These mechanisms also explain all the known nilpotent and degenerate centers.
|Journal||Moscow Mathematical Journal|
|Publication status||Published - 1 Jul 2018|
- Algebraic reducibility
- Center problem
- Louville integrability
- Polynomial differential systems