The index of Lyapunov stable fixed points in two dimensions (Q1340465)
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scientific article; zbMATH DE number 703261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The index of Lyapunov stable fixed points in two dimensions |
scientific article; zbMATH DE number 703261 |
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The index of Lyapunov stable fixed points in two dimensions (English)
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19 December 1994
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Let \(U \subset R^ 2\) be an open and connected set, \(0 \in U\), \(f:U \to R^ 2\) be a continuous, one-to-one and orientation-preserving mapping, \(f(0) = 0\). If 0 is stable and isolated as a fixed point of \(f\), then the fixed point index is equal to one. Applications to differential equations are given.
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stability
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periodic solutions
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fixed point index
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