Complete integrability, orbital linearizability and independent normalizers for local vector fields in R^n

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Data de publicació
2015Citació recomanada
García, I. A. (Isaac A.);
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(2015)
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Complete integrability, orbital linearizability and independent normalizers for local vector fields in R^n.
Journal of Lie Theory, 2015, vol. 25, p. 37-43.
http://hdl.handle.net/10459.1/58350.
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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.