On orbits of the same type
type: Item
instance of: scholarly article
title: On orbits of the same type
zbMATH Open document ID: 0909.54036
DOI: 10.12775/TMNA.1998.012
author: In-Sook Kim
published in: Topological Methods in Nonlinear Analysis
publication date: 1999-03-30T00:00:00Z
review text: The author considers the following situation: \(X\) is a Hausdorff uniform space, \(f:X\to X\) is a continuous bijection, \(A\subset X\) is connected, invariant and Lyapunov stable and for every \(x\in A\), the closure of the orbit of \(x\) is homeomorphic to the circle. The author studies the corresponding rotation numbers. Among others, assumptions are found under which the rotation number is constant on \(A\). Some examples and related results are added.
reviewed by: Ľubomír Snoha
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 11J72
zbMATH DE Number: 1218095
zbMATH Keywords: discrete dynamical system
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: rotation number
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1218095