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.

Centers for generalized quintic polynomial differential systems

Thumbnail
View/Open
preprint (149.0Kb)
Issue date
2017
Author
Giné, Jaume
Llibre, Jaume
Valls, Claudia
Suggested citation
Giné, Jaume; Llibre, Jaume; Valls, Claudia; . (2017) . Centers for generalized quintic polynomial differential systems. Rocky Mountain Journal of Mathematics, 2017, vol. 47, núm. 4, p. 1097-1120. https://doi.org/10.1216/RMJ-2017-47-4-1097.
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
We classify the centers of polynomial differential systems in $R^2$ of odd degree $d \ge 5$, in complex notation, as $\dot{z} = iz + (z \bar z)^(d-5)/2(A z^5 + B z^4 \bar z + C z^3 \bar z^2 + D z^2 \bar z^3 + E z \bar z^4 + F \bar z^5)$, where $A,B,C,D,E, F \in mathbb{C}$ and either $A = Re(D) = 0$, $A = Im(D) = 0$, $Re(A) = D = 0$ or $Im(A) = D = 0$.
URI
http://hdl.handle.net/10459.1/60411
DOI
https://doi.org/10.1216/RMJ-2017-47-4-1097
Is part of
Rocky Mountain Journal of Mathematics, 2017, vol. 47, núm. 4, p. 1097-1120
European research projects
Collections
  • Publicacions de projectes finançats per la Unió Europea [534]
  • Publicacions de projectes de recerca del Plan Nacional [2170]
  • Articles publicats (Matemàtica) [263]

Related items

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

  • Centers for the Kukles homogeneous systems with odd degree 

    Giné, Jaume; Llibre, Jaume; Valls, Claudia (London Mathematical Society, 2015)
    For the polynomial differential system x˙ = −y, y˙ = x+Qn(x; y), where Qn(x; y) is a homogeneous polynomial of degree n there are the following two conjectures done in 1999. (1) Is it true that the previous system for ...
  • Center cyclicity of a family of quartic polynomial differential system 

    García, I. A. (Isaac A.); Llibre, Jaume; Maza Sabido, Susanna (Springer, 2016-09-01)
    In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as z = i z + z z (A z^2 + B z z + C z^2 ), where A,B,C. We give an upper bound for the cyclicity of any ...
  • Centers and isochronous centers for generalized quintic systems 

    Giné, Jaume; Llibre, Jaume; Valls, Claudia (Elsevier, 2015)
    In this paper we classify the centers and the isochronous centers of certain polynomial differential systems in R2 of degree d≥5 odd that in complex notation are ż=(λ+i)z(zz̄)d−52(Az5+Bz4z̄+Cz3z̄2+Dz2z̄3+Ezz̄4+Fz̄5), ...

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