Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set (Q1645360)
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scientific article; zbMATH DE number 6897427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set |
scientific article; zbMATH DE number 6897427 |
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Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set (English)
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28 June 2018
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The author determines all possible forms of the sequences of fixed point indices of iterates at \(0\), for diffeomorphisms in dimension two and three that admit \(\{0\}\) as an isolated invariant set. His method sheds some light on the problem of finding all possible forms of such indices for diffeomorphisms and non-injective maps in higher dimension.
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fixed point index
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diffeomorphism
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low-dimensional dynamics
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0.9083892
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0.90782756
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0.89817065
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0.8947479
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0.88892776
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0.88617194
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0.88379675
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