Stability and attractivity in discrete dynamical systems (Q1901156)
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scientific article; zbMATH DE number 812568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and attractivity in discrete dynamical systems |
scientific article; zbMATH DE number 812568 |
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Stability and attractivity in discrete dynamical systems (English)
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3 December 1995
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It is known that the concepts of stability and attractivity are independent for continuous systems in \(\mathbb{R}^n\) with \(n\geq 2\). It is proven that one-dimensional discrete dynamical systems do not possess attractors that are unstable. Also, a \(C^1\) two-dimensional discrete system with a global attractor that is unstable is constructed.
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stability
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discrete dynamical systems
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attractors
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0.9293743
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0.92064977
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