Milnor attractors and topological attractors of a piecewise linear map (Q2712978)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Milnor attractors and topological attractors of a piecewise linear map |
scientific article |
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Milnor attractors and topological attractors of a piecewise linear map (English)
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9 September 2002
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Milnor attractor
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piecewise-linear map
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The paper is devoted to the study of an example -- a piecewise linear map on the plane. It is shown that for appropriate values of parameters there is a two-dimensional subset of the plane on which the dynamics is transitive and periodic orbits are dense, but this topological attractor contains a one-dimensional set which attracts almost all points (i.e. it is a Milnor attractor).
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