Common homoclinic points of commuting toral automorphisms (Q1969007)
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scientific article; zbMATH DE number 1415571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common homoclinic points of commuting toral automorphisms |
scientific article; zbMATH DE number 1415571 |
Statements
Common homoclinic points of commuting toral automorphisms (English)
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22 October 2000
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The homoclinic points of the hyperbolic automorphisms of the \(n\)-torus are studied. It is supposed that the automorphisms commute so that they determine a \(Z^2\)-action which is assumed irreducible. Then it is shown that every two automorphisms either have exactly the same homoclinic points or have no homoclinic points except 0 itself. The case of a compact connected abelian group is considered separately and the results are compared with those obtained for nonabelian compact groups.
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irreducible representation
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\(n\)-torus
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homoclinic points
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hyperbolic automorphisms
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compact groups
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0.8307566046714783
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0.8043215274810791
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0.7833411693572998
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0.7646510004997253
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