T-points: A codimension two heteroclinic bifurcation (Q1097564)
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scientific article; zbMATH DE number 4034720
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | T-points: A codimension two heteroclinic bifurcation |
scientific article; zbMATH DE number 4034720 |
Statements
T-points: A codimension two heteroclinic bifurcation (English)
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1986
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The local bifurcation structure of a heteroclinic bifurcation which has been observed in the Lorenz equations is analyzed. The existence of a particular heteroclinic loop at one point in a two-dimensional parameter space (a ``T point'') implies the existence of a line of heteroclinic loops and a logarithmic spiral of homoclinic orbits, as well as countably many other topologically more complicated T points in a small neighborhood in parameter space.
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homoclinic orbit
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heteroclinic orbit
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chaos
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heteroclinic bifurcation
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Lorenz equations
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