Group classification of discrete dynamical systems

    2013, Vol. 9, No. 4, pp.  641-649

    Author(s): Markov P. V.

    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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