Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation (Q582661)
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scientific article; zbMATH DE number 4131306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation |
scientific article; zbMATH DE number 4131306 |
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Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation (English)
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1989
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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.
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integrable systems
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quasi-periodic solutions
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Hill's equation
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Garnier- type systems
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Neumann-type systems
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