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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 4, Pages 641–650
(Mi nd411)
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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
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
Citation:
P. V. Markov, “Group classification of discrete dynamical systems”, Nelin. Dinam., 9:4 (2013), 641–650
Linking options:
https://www.mathnet.ru/eng/nd411 https://www.mathnet.ru/eng/nd/v9/i4/p641
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Abstract page: | 496 | Full-text PDF : | 560 | References: | 65 | First page: | 1 |
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