On the linearization of the generalized Ermakov systems

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1088/0305-4470/32/15/011

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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