Geodesic
Integrable systems in the plane with center type linear part
Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 285-309

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI Zbl  

We study integrability of two-dimensional autonomous systems in the plane with center type linear part. For quadratic and homogeneous cubic systems we give a simple characterization for integrable cases, and we find explicitly all first integrals for these cases. Finally, two large integrable system classes are determined in the most general nonhomogeneous cases.
DOI : 10.4064/am-22-2-285-309
Keywords: integrable systems in the plane, center-focus problem 
Javier Chavarriga. Integrable systems in the plane with center type linear part. Applicationes Mathematicae, Tome 22 (1993) no. 2, pp. 285-309. doi: 10.4064/am-22-2-285-309
@article{10_4064_am_22_2_285_309,
     author = {Javier Chavarriga},
     title = {Integrable systems in the plane with center type linear part},
     journal = {Applicationes Mathematicae},
     pages = {285--309},
     year = {1993},
     volume = {22},
     number = {2},
     doi = {10.4064/am-22-2-285-309},
     zbl = {0809.34002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-285-309/}
}
TY  - JOUR
AU  - Javier Chavarriga
TI  - Integrable systems in the plane with center type linear part
JO  - Applicationes Mathematicae
PY  - 1993
SP  - 285
EP  - 309
VL  - 22
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-285-309/
DO  - 10.4064/am-22-2-285-309
LA  - en
ID  - 10_4064_am_22_2_285_309
ER  - 
%0 Journal Article
%A Javier Chavarriga
%T Integrable systems in the plane with center type linear part
%J Applicationes Mathematicae
%D 1993
%P 285-309
%V 22
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/am-22-2-285-309/
%R 10.4064/am-22-2-285-309
%G en
%F 10_4064_am_22_2_285_309

Cité par Sources :