Geodesic
Group classification of discrete dynamical systems
Russian journal of nonlinear dynamics, Tome 9 (2013) no. 4, pp. 641-650

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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
Mots-clés : group classification, Lie group. 
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     author = {P. V. Markov},
     title = {Group classification of discrete dynamical systems},
     journal = {Russian journal of nonlinear dynamics},
     pages = {641--650},
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     volume = {9},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2013_9_4_a2/}
}
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P. V. Markov. Group classification of discrete dynamical systems. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 4, pp. 641-650. http://geodesic.mathdoc.fr/item/ND_2013_9_4_a2/