## Topological Methods in Nonlinear Analysis

### Connection matrices for Morse-Bott flows

#### Abstract

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 $S$.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 44, Number 2 (2014), 471-495.

Dates
First available in Project Euclid: 11 April 2016

https://projecteuclid.org/euclid.tmna/1460381366

Mathematical Reviews number (MathSciNet)
MR3328352

Zentralblatt MATH identifier
1362.37040

#### Citation

Lima, Dahisy V. de S.; de Rezende, Ketty A. Connection matrices for Morse-Bott flows. Topol. Methods Nonlinear Anal. 44 (2014), no. 2, 471--495. https://projecteuclid.org/euclid.tmna/1460381366

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