|
This article is cited in 7 scientific papers (total in 7 papers)
On the mechanisms for producing linear type centers in polynomial differential systems
Jaume Ginea, Jaume Llibreb a Departament de Matemàtica, Inspires Research Centre, Universitat de Lleida, Avda. Jaume II, 69; 25001 Lleida, Catalonia, Spain
b Departament de Matemàtiques, Universitat
Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain
Abstract:
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.
Key words and phrases:
center problem, Louville integrability, algebraic reducibility, polynomial differential systems.
Citation:
Jaume Gine, Jaume Llibre, “On the mechanisms for producing linear type centers in polynomial differential systems”, Mosc. Math. J., 18:3 (2018), 409–420
Linking options:
https://www.mathnet.ru/eng/mmj680 https://www.mathnet.ru/eng/mmj/v18/i3/p409
|
Statistics & downloads: |
Abstract page: | 146 | References: | 26 |
|