The Conley index over a base-Reference-Cited by-同舟云学术

The Conley index over a base

Published:2000-05-22 Issue:9 Volume:352 Page:4171-4194
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Mrozek Marian,Reineck James,Srzednicki Roman

Abstract

We construct a generalization of the Conley index for flows. The new index preserves information which in the classical case is lost in the process of collapsing the exit set to a point. The new index has most of the properties of the classical index. As examples, we study a flow with a knotted orbit in R 3 \mathrm {R}^3 , and the problem of continuing two periodic orbits which are not homotopic as loops.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-09/S0002-9947-00-02163-2/S0002-9947-00-02163-2.pdf

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