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2013
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    Pavel Markov

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

    Publications:

    Markov P. V.
    Group classification of discrete dynamical systems
    2013, Vol. 9, No. 4, pp.  641-649
    Abstract
    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
    DOI:10.20537/nd1304003

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