Separatrix splitting from the point of view of symplectic geometry (Q1274068)
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scientific article; zbMATH DE number 1238031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separatrix splitting from the point of view of symplectic geometry |
scientific article; zbMATH DE number 1238031 |
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Separatrix splitting from the point of view of symplectic geometry (English)
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5 July 1999
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This paper is devoted to a symplectic invariant for separatrices of hyperbolic tori of maximal dimension. The construction resembles Lazutkin's homoclinic invariant and a similar invariant of Bolotin for asymptotic surfaces of a fixed point of a symplectic map. Moreover, the author proves a classification lemma for the canonical coordinates of an irreducible hyperbolic torus, which is of independent interest.
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hyberbolic tori
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symplectic invariant
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classification lemma
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