This article is cited 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.

UDC: 517.938

MSC: 37C05

Received: 27.05.2013
Revised: 28.11.2013