Algebraic transition matrices in the Conley index theory-Reference-Cited by-同舟云学术

Algebraic transition matrices in the Conley index theory

Published:1998 Issue:3 Volume:350 Page:889-912
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Franzosa Robert,Mischaikow Konstantin

Abstract

We introduce the concept of an algebraic transition matrix. These are degree zero isomorphisms which are upper triangular with respect to a partial order. It is shown that all connection matrices of a Morse decomposition for which the partial order is a series-parallel admissible order are related via a conjugation with one of these transition matrices. This result is then restated in the form of an existence theorem for global bifurcations. Simple examples of how these results can be applied are also presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1998-350-03/S0002-9947-98-01666-3/S0002-9947-98-01666-3.pdf

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