|
|||||
|
|
Algebraic transition matrices in the Conley index theory |
|
| Authors: | Robert Franzosa Konstantin Mischaikow |
| Institution: | Department of Mathematics, University of Maine, Orono, Maine 04469 ; Center for Dynamical Systems and Nonlinear Studies, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332 |
| 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. |
| Keywords: | Conley index connection matrix transition matrix bistable attractor travelling waves |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |