Geodesic
Complete Integrability, Orbital Linearizability and Independent Normalizers for Local Vector Fields in Rn
Isaac A. García1
1Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II 69, 25001 Lleida, Spain
Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 37-43

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 37J35, 34Cxx
Mots-clés : Complete integrability, orbital linearizability, normalizers

Isaac A. García  1

1 Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II 69, 25001 Lleida, Spain 
Isaac A. García. Complete Integrability, Orbital Linearizability and Independent Normalizers for 
Local Vector Fields in Rn. Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 37-43. http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a2/
@article{JOLT_2015_25_1_a2,
     author = {Isaac 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a2/}
}
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