Sharp bounds on mobility of the Lyapunov exponents of linear Hamiltonian systems under small average perturbationsстатья
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Аннотация:Sharp bounds on mobility of the Lyapunov exponents of linear Hamiltonian systems are found for arbitrarily small average linear perturbations of the coefficients, with the help of the Millionshchikov turning method. The stabilizability and destabilizability of any solution by the indicated perturbations in the class of linear Hamiltonian systems are proved.