Geodesic
Algebraic curve solution for second-order polynomial autonomous systems
The electronic journal of linear algebra, Tome 8 (2001), pp. 14-25.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, by the method of the analysis of algebraic curves and the division theorem for two variables in C , the nonexistence of the algebraic curve solution of the second-order polynomial autonomous systems in C is obtained. The results are of important significance in the qualitative theory of polynomial autonomous systems and the integrability of nonlinear ordinary differential equations.
Classification : 13P10, 34A05
Keywords: autonomous system, algebraic curve, division theorem, Van der pol equation 
@article{ELA_2001__8__a10,
     author = {Zhaosheng, Feng},
     title = {Algebraic curve solution for second-order polynomial autonomous systems},
     journal = {The electronic journal of linear algebra},
     pages = {14--25},
     publisher = {mathdoc},
     volume = {8},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2001__8__a10/}
}
TY  - JOUR
AU  - Zhaosheng, Feng
TI  - Algebraic curve solution for second-order polynomial autonomous systems
JO  - The electronic journal of linear algebra
PY  - 2001
SP  - 14
EP  - 25
VL  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2001__8__a10/
LA  - en
ID  - ELA_2001__8__a10
ER  - 
%0 Journal Article
%A Zhaosheng, Feng
%T Algebraic curve solution for second-order polynomial autonomous systems
%J The electronic journal of linear algebra
%D 2001
%P 14-25
%V 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2001__8__a10/
%G en
%F ELA_2001__8__a10
Zhaosheng, Feng. Algebraic curve solution for second-order polynomial autonomous systems. The electronic journal of linear algebra, Tome 8 (2001), pp. 14-25. http://geodesic.mathdoc.fr/item/ELA_2001__8__a10/