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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2015, Issue 2(46), Pages 163–170 (Mi iimi317)  
On the effectiveness of Hamiltonian uniformly small and infinitesimal perturbations of linear Hamiltonian systems

T. V. Salova

Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russia
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Abstract: It is proved that the set of all limiting values of solutions' arbitrary indicator of the linear Hamiltonian system under uniformly small perturbations for the linear Hamiltonian system is the same as the similar set obtained by uniformly small Hamiltonian perturbations. Also it is proved that the set of all values of solutions' arbitrary indicator of the linear Hamiltonian system under infinitesimal perturbations for the linear Hamiltonian system is the same as the similar set obtained by infinitesimal Hamiltonian perturbations.
Keywords: linear systems, Hamiltonian systems, Lyapunov exponents, uniformly small perturbations, infinitesimal perturbations.
Received: 01.10.2015
Bibliographic databases:
Document Type: Article
UDC: 517.926
MSC: 34A30, 34D08, 34D10
Language: Russian
Citation: T. V. Salova, “On the effectiveness of Hamiltonian uniformly small and infinitesimal perturbations of linear Hamiltonian systems”, Izv. IMI UdGU, 2015, no. 2(46), 163–170
Citation in format AMSBIB
\Bibitem{Sal15}
\by T.~V.~Salova
\paper On the effectiveness of Hamiltonian uniformly small and infinitesimal perturbations of linear Hamiltonian systems
\jour Izv. IMI UdGU
\yr 2015
\issue 2(46)
\pages 163--170
\mathnet{http://mi.mathnet.ru/iimi317}
\elib{https://elibrary.ru/item.asp?id=25030042}
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