Edinburgh Mathematical Notes

Table of Contents - Volume 44 - 1961  

Research Article

The Existence of Integrals of Dynamical Systems Linear in the Velocities

C. W. Kilmistera1

a1 King's College, London

A dynamical system means here a system specified by generalised coordinates qα(α = 1, 2, …, n) and a Lagrangian L which is a quadratic polynomial in the generalised velocities, say

S0950184300003323eqn1

(with a summation convention).