Abstract
We show that, for any linear Hamiltonian system, there exists an arbitrarily close (in the uniform metric on the half-line) linear Hamiltonian system whose upper and lower Lyapunov exponents coincide with the upper and lower upper-limit central Vinograd–Millionshchikov exponents, respectively, of the original system and whose upper and lower Perron exponents coincide with the respective lower-limit exponents of the original system.
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Original Russian Text © I.N. Sergeev, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 4, pp. 487–492.
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Sergeev, I.N. Simultaneous attainability of central exponents of a linear Hamiltonian system under Hamiltonian perturbations. Diff Equat 53, 479–484 (2017). https://doi.org/10.1134/S0012266117040061
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DOI: https://doi.org/10.1134/S0012266117040061