On the symmetry-breaking bifurcation of chaotic attractors (Q1117540)
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scientific article; zbMATH DE number 4092420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the symmetry-breaking bifurcation of chaotic attractors |
scientific article; zbMATH DE number 4092420 |
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On the symmetry-breaking bifurcation of chaotic attractors (English)
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1989
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A new type of crisis is shown to exist in a broad class of systems (including the Lorenz model) which leads to an anomalous band splitting or to a symmetry-breaking bifurcation of the strange attractor, depending on the actual values of the control parameters. A piecewise linear model is used to understand the mechanism of this crisis and to obtain exact results.
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chaos
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piecewise linear map
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band splitting
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symmetry-breaking
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strange attractor
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crisis
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