New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree-Reference-Cited by-同舟云学术

New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree

Published:2019-02-05 Issue:4 Volume:25 Page:619-630
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Llibre Jaume^ORCID,Mousavi Marzieh,Nabavi Arefeh

Funder

Ministerio de Econom?a, Industria y Competitividad, Gobierno de Espa?a

Ag?ncia de Gesti? d? Ajuts Universitaris i de Recerca

European project

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/article/10.1007/s10883-019-09432-x/fulltext.html

Reference13 articles.

1. Dulac H. Détermination et integration d’une certaine classe d’équations différentielle ayant par point singulier un centre. Bull Sci Math Sér 1908;32(2):230–52.

2. Dumortier F, Llibre J, Artés JC. Qualitative theory of planar differential systems. New York: Springer; 2006.

3. Fercec B, Giné J, Liu Y, Romanovski VG. Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities. Acta Appl Math 2013;124:107–22.

4. Fercec B, Giné J, Romanovski VG, Edneral V. Integrability of complex planar systems with homogeneous nonlinearities. J Math Anal Appl 2016;434:894–914.

5. Giacomini H, Gine J, Llibre J. The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems. J Diff Eqs 2006;227: 406–26.

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