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Complete integrability, orbital linearizability and independent normalizers for local vector fields in R^n
García, I. A. (Isaac A.)
In this paper we study how are related three of the basic concepts in the rather non-generic phenomenon of integrability of analytic local vector fields X around an equilibrium in R, namely: complete integrability, orbital linearizability and number of independent normalizers (Lie symmetries). The work relates and extends several results existing in the literature of the subject. The author is partially supported by MICINN grant number MTM2011-22877 and by CIRIT grant number 2014 SGR 1204.
(c) Heldermann Verlag, 2015
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