Geodesic
Finding the Incomplete Belitskii Normal Form of a Hamiltonian System
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 9-18

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

We suggest an efficient method for finding the incomplete Belitskii normal form of a Hamiltonian system with many degrees of freedom and with a quasihomogeneous unperturbed part of special form. In particular, we obtain closed-form expressions for the incomplete Belitskii normal forms of two-degree-of-freedom Hamiltonian systems with unperturbed Hamiltonian of the form $h_1x_1^{l_1}y_1^{m_1}+h_2x_2^{l_2}y_2^{m_2}$.
Keywords: incomplete Belitskii normal form, Hamiltonian system. 
@article{FAA_2014_48_4_a1,
     author = {V. V. Basov and A. S. Vaganyan},
     title = {Finding the {Incomplete} {Belitskii} {Normal} {Form} of a {Hamiltonian} {System}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {9--18},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a1/}
}
TY  - JOUR
AU  - V. V. Basov
AU  - A. S. Vaganyan
TI  - Finding the Incomplete Belitskii Normal Form of a Hamiltonian System
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2014
SP  - 9
EP  - 18
VL  - 48
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a1/
LA  - ru
ID  - FAA_2014_48_4_a1
ER  - 
%0 Journal Article
%A V. V. Basov
%A A. S. Vaganyan
%T Finding the Incomplete Belitskii Normal Form of a Hamiltonian System
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2014
%P 9-18
%V 48
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a1/
%G ru
%F FAA_2014_48_4_a1
V. V. Basov; A. S. Vaganyan. Finding the Incomplete Belitskii Normal Form of a Hamiltonian System. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 9-18. http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a1/