Original Articles

GENERALIZED ERMAKOV SYSTEMS IN TERMS OF sl(2,R) INVARIANTS

Published in: Quaestiones Mathematicae
Volume 16 , issue 4 , 1993 , pages: 405–412

DOI: 10.1080/16073606.1993.9631748

Author(s): K.S. Govinder Department of Mathematics and Applied Mathematics, South Africa , P. , G.L. Leach Department of Mathematics and Applied Mathematics, South Africa

Keywords: 58F07 , 22E70

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Abstract

Conventional generalized Ermakov systems are shown to be a subset of the class of second order ordinary differential equations invariant under sl(2,R) symmetry. When the system is two-dimensional, it can be reduced to a one-dimensional time-dependent simple harmonic oscillator by a suitable choice of new time and distance variables.

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