Invariants of twist-wise flow equivalence
type: Item
instance of: scholarly article
title: Invariants of twist-wise flow equivalence
zbMATH Open document ID: 0983.37017
author: Michael C. Sullivan
published in: Discrete and Continuous Dynamical Systems
publication date: 2000-08-16T00:00:00Z
review text: Let \(A\) be an \(n\times n\) nonnegative integer matrix. Then \(PS (A)= \det(I-A)\), and \(BF(A)={\mathbb{Z}^n \over(I-A) \mathbb{Z}^n}\) are called the Parry-Sullivan number and the Bowen-Frames group, respectively. It is known that for nontrivial irreducible incidence matrices flow equivalence of matrices is completely determined by two computable invariants, that is by \(PS(A)\) and \(BF(A)\). Here the author deals with the twist-wise flow equivalence which is a natural generalization of the above mentioned one and takes account of twisting in the local stable manifold of the orbits of a flow. Two new invariants in this category are presented.
Mathematics Subject Classification ID: 37C15
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37C10
zbMATH DE Number: 1492538
zbMATH Keywords: irreducible incidence matrices
zbMATH Keywords: Parry-Sullivan number
zbMATH Keywords: stable manifold
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: dcds.1998.4.475
OpenAlex ID: W2025940694
DOI: 10.3934/DCDS.1998.4.475
description: scientific article; zbMATH DE number 1492538