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    Pavel Markov

    Perekopskaya 15a, Tyumen, 625000, Russia
    Institute of Mathematics and Computer Sciences of Tyumen State University


    Markov P. V.
    Group classification of discrete dynamical systems
    2013, Vol. 9, No. 4, pp.  641-649
    An application of Lie groups of transformations theory for analysis of discrete dynamical systems is showed in this article. Families of two-dimensional and three-dimensional discrete dynamical systems with two-parameter and three-parameter Lie groups of transformations as continuous symmetries were obtained with using of classifications of two-dimensional and three-dimensional Lie algebras.
    Keywords: discrete dynamical system, continuous symmetry, group classification, Lie group
    Citation: Markov P. V.,  Group classification of discrete dynamical systems, Rus. J. Nonlin. Dyn., 2013, Vol. 9, No. 4, pp.  641-649

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