Neumann system and hyperelliptic al functions

2004/11/21 by Shigeki Matsutani, Matsutani, Shigeki · 1 citation
Mathematics · Physics and Astronomy · #14H70 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #math-ph #math.AG #math.MP #msc:14H70

paper · pdf · doi:10.48550/arxiv.math-ph/0411067

arxiv created 2004/11/21 · openalex publication_date 2004/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article shows that the Neumann dynamical system is described well in terms of the Weierestrass hyperelliptic al functions.

Cited by

• Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function

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