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.

The cubic polynomial differential systems with two circles as algebraic limit cycles

Thumbnail
View/Open
Preprint (640.5Kb)
Issue date
2018
Author
Giné, Jaume
Llibre, Jaume
Valls, Claudia
Suggested citation
Giné, Jaume; Llibre, Jaume; Valls, Claudia; . (2018) . The cubic polynomial differential systems with two circles as algebraic limit cycles. Advanced Nonlinear Studies, 2018, vol. 18, núm. 1, p. 183-193. https://doi.org/10.1515/ans-2017-6033.
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 all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
URI
http://hdl.handle.net/10459.1/65692
DOI
https://doi.org/10.1515/ans-2017-6033
Is part of
Advanced Nonlinear Studies, 2018, vol. 18, núm. 1, p. 183-193
European research projects
Collections
  • Publicacions de projectes de recerca del Plan Nacional [2179]
  • Publicacions de projectes finançats per la Unió Europea [537]
  • Articles publicats (Matemàtica) [263]

Related items

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

  • Analytic integrability of cubic-linear planar polynomial differential systems 

    Giné, Jaume; Valls, Claudia (Elsevier, 2016)
    For the cubic–linear polynomial planar differential systems with a finite singular point, we classify the ones which have a local analytic first integral around the origin and the ones that have a global analytic first integral.
  • Reversible nilpotent centers with cubic homogeneous nonlinearities 

    Dukaric, Masa; Giné, Jaume; Llibre, Jaume (Elsevier, 2016)
    We provide 13 non--topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase ...
  • Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential systems 

    Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume (American Institute of Mathematical Sciences, 2013-10)
    In this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral. We also prove that any planar quasi-homogeneous ...

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