Computer assisted studies in dynamical systems

    2006, Vol. 2, No. 2, pp.  243-254

    Author(s): Simó C.

    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
    Citation: Simó C., Computer assisted studies in dynamical systems, Rus. J. Nonlin. Dyn., 2006, Vol. 2, No. 2, pp.  243-254

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