Geodesic
On the effectiveness of Hamiltonian uniformly small and infinitesimal perturbations of linear Hamiltonian systems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 163-170

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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
Mots-clés : infinitesimal perturbations. 
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     author = {T. V. Salova},
     title = {On the effectiveness of {Hamiltonian} uniformly small and infinitesimal perturbations of linear {Hamiltonian} systems},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {163--170},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a21/}
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T. V. Salova. On the effectiveness of Hamiltonian uniformly small and infinitesimal perturbations of linear Hamiltonian systems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 163-170. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a21/