Journal of Lie Theory

no. 1
Complete Integrability, Orbital Linearizability and Independent Normalizers for Local Vector Fields in Rn
Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 37-43
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.
DOI: 10.5802/jolt.826
Classification: 37J35, 34Cxx
Keywords: Complete integrability, orbital linearizability, normalizers 
@article{JOLT_2015_25_1_a2,
     author = {I. A. Garc{\'\i}a},
     title = {Complete {Integrability,} {Orbital} {Linearizability} and {Independent} {Normalizers} for {
Local} {Vector} {Fields} in {R\protect\textsuperscript{n}}},
     journal = {Journal of Lie Theory},
     pages = {37--43},
     year = {2015},
     volume = {25},
     number = {1},
     doi = {10.5802/jolt.826},
     zbl = {1370.37109},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.826/}
}
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%0 Journal Article
%A I. A. García
%T Complete Integrability, Orbital Linearizability and Independent Normalizers for 
Local Vector Fields in Rn
%J Journal of Lie Theory
%D 2015
%P 37-43
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I. A. García. Complete Integrability, Orbital Linearizability and Independent Normalizers for 
Local Vector Fields in Rn. Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 37-43. doi: 10.5802/jolt.826

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