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