Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 4, Pages 641–650 (Mi nd411)  
This article is cited in 2 scientific papers (total in 2 papers)

Group classification of discrete dynamical systems

P. V. Markov

Institute of Mathematics and Computer Sciences of Tyumen State University, Perekopskaya 15a, Tyumen, 625000, Russia
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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.
Received: 27.05.2013
Revised: 28.11.2013
Document Type: Article
UDC: 517.938
MSC: 37C05
Language: Russian
Citation: P. V. Markov, “Group classification of discrete dynamical systems”, Nelin. Dinam., 9:4 (2013), 641–650
Citation in format AMSBIB
\Bibitem{Mar13}
\by P.~V.~Markov
\paper Group classification of discrete dynamical systems
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 4
\pages 641--650
\mathnet{http://mi.mathnet.ru/nd411}
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  • https://www.mathnet.ru/eng/nd411
  • https://www.mathnet.ru/eng/nd/v9/i4/p641
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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