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On the linearization of the generalized Ermakov systems

F. Haas, J. Goedert

math-pharXiv:math-ph/0211036

Abstract

A linearization procedure is proposed for Ermakov systems with frequency depending on dynamic variables. The procedure applies to a wide class of generalized Ermakov systems which are linearizable in a manner similar to that applicable to usual Ermakov systems. The Kepler--Ermakov systems belong into this category but others, more generic, systems are also included.

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