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Journal of Lie Theory 25 (2015), No. 1, 037--043
Copyright Heldermann Verlag 2015

Complete Integrability, Orbital Linearizability and Independent Normalizers for Local Vector Fields in Rn

Isaac A. García
Departament de Matemātica, Universitat de Lleida, Avda. Jaume II 69, 25001 Lleida, Spain

We study how three of the basic concepts in the rather non-generic phenomenon of integrability of analytic local vector fields around an equilibrium in Rn are related, 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.

Keywords: Complete integrability, orbital linearizability, normalizers.

MSC: 37J35, 34Cxx

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