Noncanonical time transformations relating finite-dimensional integrable systems
type: Item
instance of: scholarly article
title: Noncanonical time transformations relating finite-dimensional integrable systems
zbMATH Open document ID: 0970.37053
DOI: 10.1007/BF02557394
published in: Theoretical and Mathematical Physics
publication date: 2001-10-21T00:00:00Z
review text: Dual Stäckel systems related by a noncanonical transformation of time variable are considered. Special emphasis is applied to the singularity analysis methods that are used to verify the integrability of the physical model. The properties of some dual integrable systems are investigated and the corresponding Lax pairs and \(z\)-matrix algebras are constructed. Examples of the Kepler problem deformations close to the Drach-type systems, as well as the Holt systems with the second integral of motion of the third or fourth degree in moment \(a\) are studied in details.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70H99
zbMATH DE Number: 1465914
zbMATH Keywords: Holt-type systems
zbMATH Keywords: Stäckel systems
zbMATH Keywords: Lax pairs
zbMATH Keywords: \(z\)-matrix algebras
zbMATH Keywords: Kepler problem
author: A. V. Tsiganov
MaRDI profile type: Publication
Wikidata QID: Q125312763
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description: scientific article; zbMATH DE number 1465914