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.

Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities

Thumbnail
View/Open
Postprint (148.4Kb)
Issue date
2015
Author
Giné, Jaume
Valls, Claudia
Suggested citation
Giné, Jaume; Valls, Claudia; . (2015) . Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities. Nonlinear Dynamics, 2015, vol. 81, núm. 4, p. 2021-2030. https://doi.org/10.1007/s11071-015-2122-1.
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 work we complete the integrability conditions (i.e. conditions for the existence of a local analytic first integral) for a family of a resonant saddle perturbed with homogeneous quintic nonlinearities studied in a previous work. In order to obtain the necessary conditions we use modular arithmetic computations.
URI
http://hdl.handle.net/10459.1/58394
DOI
https://doi.org/10.1007/s11071-015-2122-1
Is part of
Nonlinear Dynamics, 2015, vol. 81, núm. 4, p. 2021-2030
European research projects
Collections
  • Articles publicats (Matemàtica) [263]
  • Publicacions de projectes de recerca del Plan Nacional [2170]

Related items

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

  • Integrability conditions of a resonant saddle in Liénard-like complex systems 

    Giné, Jaume; Valls, Claudia (Elsevier, 2016)
    We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.
  • Integrability of complex planar systems with homogeneous nonlinearities 

    Fercec, Brigita; Giné, Jaume; Romanovski, Valery G.; Edneral, Victor F. (Elsevier, 2016)
    In this paper we obtain sufficient conditions for the existence of a local analytic first integral for a family of quintic systems having homogeneous nonlinearities. The family studied in this work is the largest one ...
  • Integrability conditions for Lotka–Volterra planar complex quintic systems 

    Giné, Jaume; Romanovski, Valery G. (Elsevier, 2010)
    In this paper we obtain necessary and sufficient integrability conditions at the origin for the Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree homogeneous polynomials, i.e., we ...

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