Neumann system and hyperelliptic al functions

This article shows that the Neumann dynamical system is described well in terms of the Weierstrass hyperelliptic al functions. The descriptions are very primitive; their proofs are provided only by residual computations but don't require any theta functions.

Bibliographic Details
Main Author: Shigeki Matsutani
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2008-04-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v03/p02.pdf