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On the linearization of the generalized Ermakov systems

Mathematical Physics 2009-11-07 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0211036,
  title  = {On the linearization of the generalized Ermakov systems},
  author = {F. Haas and J. Goedert},
  journal= {arXiv preprint arXiv:math-ph/0211036},
  year   = {2009}
}