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The Existence of Integrals of Dynamical Systems Linear in the Velocities

Published online by Cambridge University Press:  21 January 2009

C. W. Kilmister
C. W. Kilmister
Affiliation:
King's College, London
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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

(with a summation convention).

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 44 , December 1961 , pp. 13 - 16
Copyright
Copyright © Edinburgh Mathematical Society 1961