Connection matrices for Morse-Bott flows
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Morse decompositions, Conley index, connection matrices, Morse-Bott functions, Morse functionsAbstrakt
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 $S$.Pobrania
Opublikowane
2016-04-12
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LIMA, Dahisy V. de S. & REZENDE, Ketty A. de. Connection matrices for Morse-Bott flows. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 44, nr 2, s. 471–495. [udostępniono 22.7.2024].
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