Perekopskaya 15a, Tyumen, 625000, Russia
Institute of Mathematics and Computer Sciences of Tyumen State University
Markov P. V.
Group classification of discrete dynamical systems
2013, Vol. 9, No. 4, pp. 641-649
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.