Geodesic
Effective computation of the first Lyapunov quantities for a planar differential equation
Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 243-250

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

We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities $V_3$ and $V_5$ for a general smooth planar system.
DOI : 10.4064/am-24-3-243-250
Keywords: Lyapunov quantities, weak focus, stability

A. Gasull 1 ; R. Prohens 1

1 
@article{10_4064_am_24_3_243_250,
     author = {A. Gasull and R. Prohens},
     title = {Effective computation of the first {Lyapunov} quantities for a planar differential equation},
     journal = {Applicationes Mathematicae},
     pages = {243--250},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1997},
     doi = {10.4064/am-24-3-243-250},
     zbl = {0882.34038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-24-3-243-250/}
}
TY  - JOUR
AU  - A. Gasull
AU  - R. Prohens
TI  - Effective computation of the first Lyapunov quantities for a planar differential equation
JO  - Applicationes Mathematicae
PY  - 1997
SP  - 243
EP  - 250
VL  - 24
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-24-3-243-250/
DO  - 10.4064/am-24-3-243-250
LA  - en
ID  - 10_4064_am_24_3_243_250
ER  - 
%0 Journal Article
%A A. Gasull
%A R. Prohens
%T Effective computation of the first Lyapunov quantities for a planar differential equation
%J Applicationes Mathematicae
%D 1997
%P 243-250
%V 24
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-24-3-243-250/
%R 10.4064/am-24-3-243-250
%G en
%F 10_4064_am_24_3_243_250
A. Gasull; R. Prohens. Effective computation of the first Lyapunov quantities for a planar differential equation. Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 243-250. doi: 10.4064/am-24-3-243-250

Cité par Sources :