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Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation

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Abstract

We present finite-gap solutions to the Garnier system and to the g-dimensional anisotropic harmonic oscillator in a radial quartic potential. The relationship between these solutions and solutions of Neumann-type dynamical systems is discussed.

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  1. Joint Institute of Nuclear Research, Dubna, SU-101000, Moscow, USSR

    N. A. Kostov

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  1. N. A. Kostov
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Kostov, N.A. Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation. Lett Math Phys 17, 95–108 (1989). https://doi.org/10.1007/BF00402324

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