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

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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. 
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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/

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