Geodesic
Computer assisted studies in dynamical systems
Russian journal of nonlinear dynamics, Tome 2 (2006) no. 2, pp. 243-254.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is a well known fact that purely analytical methods are suitable to prove existence results and to get some local or semiglobal information on the dynamics of a system. If a more detailed study is desired or, in many cases, if one has to guess first the properties to be proven, we have to proceed to do a computer assisted study of the problem. In these notes I summarize several domains where a systematic use of a computer can help us to learn about a given family of dynamical systems and provide some examples.
Keywords: dynamical system, numerical integration, computer studies. 
@article{ND_2006_2_2_a7,
     author = {C. Sim\'o},
     title = {Computer assisted studies in dynamical systems},
     journal = {Russian journal of nonlinear dynamics},
     pages = {243--254},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2006_2_2_a7/}
}
TY  - JOUR
AU  - C. Simó
TI  - Computer assisted studies in dynamical systems
JO  - Russian journal of nonlinear dynamics
PY  - 2006
SP  - 243
EP  - 254
VL  - 2
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2006_2_2_a7/
LA  - ru
ID  - ND_2006_2_2_a7
ER  - 
%0 Journal Article
%A C. Simó
%T Computer assisted studies in dynamical systems
%J Russian journal of nonlinear dynamics
%D 2006
%P 243-254
%V 2
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2006_2_2_a7/
%G ru
%F ND_2006_2_2_a7
C. Simó. Computer assisted studies in dynamical systems. Russian journal of nonlinear dynamics, Tome 2 (2006) no. 2, pp. 243-254. http://geodesic.mathdoc.fr/item/ND_2006_2_2_a7/