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.

Examples of center cyclicity bounds using the reduced Bautin depth

Thumbnail
View/Open
Postprint (147.9Kb)
Issue date
2017-09-01
Author
García, I. A. (Isaac A.)
Suggested citation
García, I. A. (Isaac A.); . (2017) . Examples of center cyclicity bounds using the reduced Bautin depth. Proceedings of the American Mathematical Society, 2017, vol. 145, p. 4363-4370. https://doi.org/10.1090/proc/13570.
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
There is a method for bounding the cyclicity of nondegenerate monodromic singularities of polynomial planar families of vector fields Xλ which can work even in case that the Poincar´e first return map has associated a non-radical Bautin ideal B. The method is based on the stabilization of the integral closures of an ascending chain of polynomial ideals in the ring of polynomials in the parameters λ of the family that stabilizes at B. In this work we use computational algebra methods to provide an explicit example in which the classical procedure to find the Bautin depth of B fails but the new approach is successful.
URI
http://hdl.handle.net/10459.1/60208
DOI
https://doi.org/10.1090/proc/13570
Is part of
Proceedings of the American Mathematical Society, 2017, vol. 145, p. 4363-4370
European research projects
Collections
  • Articles publicats (Matemàtica) [358]
  • Publicacions de projectes de recerca del Plan Nacional [2958]

Contact Us | Send Feedback | Legal Notice
© 2023 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
© 2023 BiD. Universitat de Lleida
Metadata subjected to