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Group-theoretic obstructions to integrability

Published online by Cambridge University Press:  19 September 2008

R. C. Churchill ,
D. L. Rod  and
M. F. Singer
R. C. Churchill
Affiliation:
Department of Mathematics, Hunter College, 695 Park Avenue, New York, New York 10021, USA
D. L. Rod
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Alberta T2N 1N4, Canada
M. F. Singer
Affiliation:
Department of Mathematics, Box 8205, North Carolina State University, Raleigh, North Carolina 27695-8205, USA
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Abstract

Let V be a four-dimensional complex symplectic vector space. This paper classifies those connected linear algebraic subgroups of the symplectic group Sp(V) that admit two independent rational invariants. As an application we show the non integrability of a three degree of freedom Hamiltonian system.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 1 , February 1995 , pp. 15 - 48
Copyright
Copyright © Cambridge University Press 1995

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