Universitat de Lleida
    • English
    • català
    • español
  • English 
    • English
    • català
    • español
  • Login
Repositori Obert UdL
View Item 
  •   Home
  • Recerca
  • Matemàtica
  • Articles publicats (Matemàtica)
  • View Item
  •   Home
  • Recerca
  • Matemàtica
  • Articles publicats (Matemàtica)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Universal centers and composition conditions

Thumbnail
View/Open
Preprint (752.2Kb)
Issue date
2013
Author
Giné, Jaume
Grau Montaña, Maite
Llibre, Jaume
Suggested citation
Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume; . (2013) . Universal centers and composition conditions. Proceedings of the London Mathematical Society, 2013, vol. 106, núm. 3, p. 481-507. https://doi.org/doi:10.1112/plms/pds050.
Impact


Web of Science logo    citations in Web of Science

Scopus logo    citations in Scopus

Google Scholar logo  Google Scholar
Share
Export to Mendeley
Metadata
Show full item record
Abstract
In this paper, we characterize the universal centres of the ordinary differential equations , where ai(θ) are trigonometric polynomials, in terms of the composition conditions. These centres are closely related with the classical Poincaré centre problem for planar analytic differential systems. Additionally, we show that the notion of universal centre is not invariant under changes of variables, and we also provide different families of universal centres. Finally, we characterize all the universal centres for the quadratic polynomial differential systems. Universal centres and composition conditions.
URI
http://hdl.handle.net/10459.1/49458
DOI
https://doi.org/doi:10.1112/plms/pds050
Is part of
Proceedings of the London Mathematical Society, 2013, vol. 106, núm. 3, p. 481-507
European research projects
Collections
  • Articles publicats (Matemàtica) [266]
  • Publicacions de projectes de recerca del Plan Nacional [2215]

Related items

Showing items related by title, author, creator and subject.

  • Composition conditions in the trigonometric Abel equation 

    Giné, Jaume; Grau Montaña, Maite; Santallusia Esvert, Xavier (Shanghai Normal University & Wilmington Scientific Publisher, 2013)
    In this paper we deal with the center problem for the trigonometricAbel equation dρ/dρ =a1(θ)ρ^2+a2(θ)ρ^3; where a1(θ) and a2(θ)are trigonometric polynomials in θ. This problem is closely connectedwith the classical Poincar´e ...
  • The center problem and composition condition for Abel differential equations 

    Giné, Jaume; Grau Montaña, Maite; Santallusia Esvert, Xavier (Elsevier, 2015)
    The classical Poincaré center-focus problem for planar polynomial systems of ordinary differential equations can be transformed, in certain particular cases, to the center problem of a trigonometric Abel differential ...
  • A counterexample to the composition condition conjecture for polynomial Abel differential equations 

    Giné, Jaume; Grau Montaña, Maite; Santallusia Esvert, Xavier (Cambridge University Press, 2019)
    Polynomial Abel differential equations are considered a model problem for the classical Poincaré center–focus problem for planar polynomial systems of ordinary differential equations. In the last few decades, several works ...

Contact Us | Send Feedback | Legal Notice
© 2021 BiD. Universitat de Lleida
Metadata subjected to 
 

 

Browse

All of the repositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

Statistics

View Usage Statistics

D'interès

Política institucional d'accés obertDiposita les teves publicacionsDiposita dades de recercaSuport a la recerca

Contact Us | Send Feedback | Legal Notice
© 2021 BiD. Universitat de Lleida
Metadata subjected to