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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 4, Pages 9–18
DOI: https://doi.org/10.4213/faa3162 (Mi faa3162) 		 
Finding the Incomplete Belitskii Normal Form of a Hamiltonian System

V. V. Basov, A. S. Vaganyan

Saint Petersburg State University
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DOI: https://doi.org/10.4213/faa3162
Abstract: 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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0026
Received: 21.04.2013
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 4, Pages 242–249
DOI: https://doi.org/10.1007/s10688-014-0067-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Basov, A. S. Vaganyan, “Finding the Incomplete Belitskii Normal Form of a Hamiltonian System”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 9–18; Funct. Anal. Appl., 48:4 (2014), 242–249
Citation in format AMSBIB
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