Geodesic
Computer assisted studies in dynamical systems
Russian journal of nonlinear dynamics, Tome 2 (2006) no. 2, pp. 243-254 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {C. Sim\'o},
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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/