Simultaneous attainability of central exponents of a linear Hamiltonian system under Hamiltonian perturbations


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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.

About the authors

I. N. Sergeev

Lomonosov Moscow State University

Author for correspondence.
Email: igniserg@gmail.com
Russian Federation, Moscow, 119992

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