Conley index and homology index braids in singular perturbation problems without uniqueness of solutions (Q1959000)
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scientific article; zbMATH DE number 5794095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conley index and homology index braids in singular perturbation problems without uniqueness of solutions |
scientific article; zbMATH DE number 5794095 |
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Conley index and homology index braids in singular perturbation problems without uniqueness of solutions (English)
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1 October 2010
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By approximation techniques, the Conley index is extended to the case of continuous vector fields on finite-dimensional smooth manifolds. The extended index preserves all main properties of the index defined for (semi)-flows. In particular, it enables to define the concept of a (co)homology index braid class for continuous vector-fields. Using that concept, a singular perturbation result in the absence of uniqueness is proved.
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singular perturbations
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differential equations on manifolds
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Conley index
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(co)homology index braid
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