Geodesic
Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator
Matematičeskie zametki, Tome 76 (2004) no. 5, pp. 701-713

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the problem of constructing a normal form near a two-dimensional invariant isotropic torus for a multidimensional anharmonic oscillator. We construct a fourth-order normal form with respect to harmonic oscillator type variables. We show that, in the presence of resonances, the dependence of the normal form on the action type variables becomes nonpolynomial. 
@article{MZM_2004_76_5_a5,
     author = {S. Yu. Dobrokhotov and M. A. Poteryakhin},
     title = {Normal {Forms} near {Two-Dimensional} {Resonance} {Tori} for the {Multidimensional} {Anharmonic} {Oscillator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {701--713},
     publisher = {mathdoc},
     volume = {76},
     number = {5},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a5/}
}
TY  - JOUR
AU  - S. Yu. Dobrokhotov
AU  - M. A. Poteryakhin
TI  - Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator
JO  - Matematičeskie zametki
PY  - 2004
SP  - 701
EP  - 713
VL  - 76
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a5/
LA  - ru
ID  - MZM_2004_76_5_a5
ER  - 
%0 Journal Article
%A S. Yu. Dobrokhotov
%A M. A. Poteryakhin
%T Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator
%J Matematičeskie zametki
%D 2004
%P 701-713
%V 76
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a5/
%G ru
%F MZM_2004_76_5_a5
S. Yu. Dobrokhotov; M. A. Poteryakhin. Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator. Matematičeskie zametki, Tome 76 (2004) no. 5, pp. 701-713. http://geodesic.mathdoc.fr/item/MZM_2004_76_5_a5/