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arxiv: math-ph/0211036 · v1 · submitted 2002-11-17 · 🧮 math-ph · math.MP

On the linearization of the generalized Ermakov systems

classification 🧮 math-ph math.MP
keywords systemsermakovgeneralizedlinearizationprocedureapplicableappliesbelong
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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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