Neumann system and hyperelliptic al functions

Journal Title: Surveys in Mathematics and its Applications - Year 2008, Vol 3, Issue 0

Abstract

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.

Authors and Affiliations

Shigeki Matsutani

Keywords

Related Articles

Multiple periodic solutions for a fourth-order discrete Hamiltonian system

By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltoni...

Almost-periodic solution for BAM neural networks

In this paper, we study the existence and uniqueness solution and investigate the conditions that make it almost-periodic solution for BAM neural networks with retarded delays. The existence of solution established by us...

Homotopy analysis method for solving KdV equations

A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach. Numerical solutions obtained by homotopy ana...

New result of existence of periodic solution for a Hopfield neural networks with neutral time-varying delays

In this paper, a Hopfield neural network with neutral time-varying delays is investigated by using the continuation theorem of Mawhin's coincidence degree theory and some analysis technique. Without assuming the continuo...

Optimal Alternative to the Akima's Method of Smooth Interpolation Applied in Diabetology

It is presented a new method of cubic piecewise smooth interpolation applied to experimental data obtained by glycemic profile for diabetics. This method is applied to create a soft useful in clinical diabetology. The me...

Download PDF file
  • EP ID EP124076
  • DOI -
  • Views 92
  • Downloads 0

How To Cite

Shigeki Matsutani (2008). Neumann system and hyperelliptic al functions. Surveys in Mathematics and its Applications, 3(0), 13-25. https://europub.co.uk/articles/-A-124076