Connection matrices for Morse-Bott flows
Keywords
Morse decompositions, Conley index, connection matrices, Morse-Bott functions, Morse functionsAbstract
A Connection Matrix Theory approach is presented for Morse-Bott flows $\varphi$ on smooth closed $n$-manifolds by characterizing the set of connection matrices in terms of Morse-Smale perturbations. Further results are obtained on the effect on the set of connection matrices $\mathcal{CM}(S)$ caused by changes in the partial orderings and in the Morse decompositions of an isolated invariant set $S$.Downloads
Published
2016-04-12
How to Cite
1.
LIMA, Dahisy V. de S. and REZENDE, Ketty A. de. Connection matrices for Morse-Bott flows. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 2, pp. 471 - 495. [Accessed 13 November 2024].
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