Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation
type: Item
instance of: scholarly article
title: Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation
zbMATH Open document ID: 0691.58022
DOI: 10.1007/BF00402324
published in: Letters in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The author considers the relationship between Hill's equation and the Garnier-type systems. Finite-gap solutions to the Garnier system and to g-dimensional anisotropic harmonic oscillator in a radial quartic potential are presented. The interconnection between these solutions and solutions to Neumann-type systems is discussed.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 4131306
zbMATH Keywords: integrable systems
zbMATH Keywords: quasi-periodic solutions
zbMATH Keywords: Hill's equation
zbMATH Keywords: Garnier- type systems
zbMATH Keywords: Neumann-type systems
author: N. A. Kostov
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4131306