A chaotic mapping that displays its own homoclinic structure (Q1069377)
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scientific article; zbMATH DE number 3934628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A chaotic mapping that displays its own homoclinic structure |
scientific article; zbMATH DE number 3934628 |
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A chaotic mapping that displays its own homoclinic structure (English)
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1984
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We describe some properties of a two-dimensional non-linear mapping which has been derived from a differential equation model of turbulence. For certain parameter values the mapping displays chaotic behaviour. Owing to the peculiar way in which the phase space expands and contracts, parts of the attractor follow the oscillatory invariant curves associated with homoclinic points in non-integrable systems.
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transition from laminar to turbulent flow
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Burgers' equations
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finite difference approximation
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two-dimensional non-linear mapping
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differential equation model of turbulence
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chaotic behaviour
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oscillatory invariant curves
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homoclinic points
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non-integrable systems
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