Separatrix splitting from the point of view of symplectic geometry
type: Item
instance of: scholarly article
title: Separatrix splitting from the point of view of symplectic geometry
zbMATH Open document ID: 0915.58031
DOI: 10.1007/BF02361217
author: D. Treschev
published in: Mathematical Notes
publication date: 1999-07-05T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 1238031
zbMATH Keywords: hyberbolic tori
zbMATH Keywords: symplectic invariant
zbMATH Keywords: classification lemma
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1238031