Morse-Conley Theory, Singular Varieties, and Intersection Homology
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The Morse equation and the Conley index
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| Author(s): |
Eduardo Favarão Botelho
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2008-03-11 |
| Examining board members: |
Maria do Carmo Carbinatto;
Ma To Fu;
Ketty Abaroa de Rezende
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| Advisor: | Maria do Carmo Carbinatto |
| Abstract | |
The Conley index is a well known tool used in the analysis of dynamical systems. In particular, Morse decompositions combined with an appropriate version of the Conley index and a corresponding Morse equation, often allow us to obtain multiplicity results for solutions. In this work we introduce the Conley index theory and the Morse equation relative to a Morse decomposition and apply the results to ordinary differential equations (AU) | |