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Moscow Mathematical Journal, 2018, Volume 18, Number 3, Pages 409–420
DOI: https://doi.org/10.17323/1609-4514-2018-18-3-409-420 (Mi mmj680) 		 
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
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DOI: https://doi.org/10.17323/1609-4514-2018-18-3-409-420
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.
Bibliographic databases:
Document Type: Article
MSC: Primary 34C05; Secondary 37C10
Language: English
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
Citation in format AMSBIB
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\by Jaume~Gine, Jaume~Llibre
\paper On the mechanisms for producing linear type centers in polynomial differential systems
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\pages 409--420
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    • This publication is cited in the following 7 articles:
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