Continuation of attractors and non-saddle sets (Q2875966)
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scientific article; zbMATH DE number 6329471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuation of attractors and non-saddle sets |
scientific article; zbMATH DE number 6329471 |
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12 August 2014
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dynamical system
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continuation of isolated invariant sets
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singular continuation
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attractor
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cusi attractor
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shape
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Lorenz system
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0.9122566
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0.8971876
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0.8868722
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0.88525903
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0.8837631
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Continuation of attractors and non-saddle sets (English)
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This survey contains a summary of some dynamical and topological properties of flows on manifolds. In particular, the authors consider the case of invariant sets as attractors and non-saddle isolated sets. The used tools are the Čech homology and cohomology and shape theory. The paper includes an exhaustive list of references on the topic.NEWLINENEWLINEThe case of the Lorenz system is tackled and a general result motivated by it is provided.NEWLINENEWLINEFor the entire collection see [Zbl 1287.00022].
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