On invariants of discrete dynamical systems
type: Item
instance of: scholarly article
title: On invariants of discrete dynamical systems
zbMATH Open document ID: 1210.37040
DOI: 10.1134/S0012266110050162
author: V. Yu. Tyshchenko
published in: Differential Equations
publication date: 2010-12-08T00:00:00Z
review text: For completely solvable holomorphic discrete dynamical systems, properties of invariants are studied, including the possibility of constructing invariants from known invariants and holomorphisms admitted by a given dynamical system. The principal result establishes the dimension of the basis formed by nondegenerate absolute invariants of a discrete dynamical system.
reviewed by: Yuriy V. Rogovchenko
Mathematics Subject Classification ID: 37J15
zbMATH DE Number: 5824126
zbMATH Keywords: discrete dynamical system
zbMATH Keywords: invariants
zbMATH Keywords: holomorphisms
zbMATH Keywords: Lie group
MaRDI profile type: Publication
cites work: On invariants for difference equations and systems of difference equations of rational form
cites work: A Darboux-type Theory of Integrability for Discrete Dynamical Systems
cites work: Q3326469
full work available at URL: s0012266110050162
OpenAlex ID: W1968900361
description: scientific article; zbMATH DE number 5824126