On First Integrals of Linear Hamiltonian Systems
- Authors: Zheglov A.B.1, Osipov D.V.2,3,4
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Affiliations:
- Faculty of Mechanics and Mathematics
- Steklov Mathematical Institute
- National Research University Higher School of Economics
- National University of Science and Technology “MISiS”
- Issue: Vol 98, No 3 (2018)
- Pages: 616-618
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225596
- DOI: https://doi.org/10.1134/S1064562418070256
- ID: 225596
Cite item
Abstract
In the paper, Lax pairs for linear Hamiltonian systems of differential equations are found. Besides, first integrals of the system which are obtained from the Lax pairs are investigated.
About the authors
A. B. Zheglov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: azheglov@math.msu.su
Russian Federation, Moscow, 119991
D. V. Osipov
Steklov Mathematical Institute; National Research University Higher School of Economics; National University of Science and Technology “MISiS”
Email: azheglov@math.msu.su
Russian Federation, Moscow, 119991; Moscow, 101000; Moscow, 119049
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