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The efficiency of perturbations in the class of linear Hamiltonian systems

T. V. Salova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It is proved that the set of all limiting values of solutions' arbitrary indicators under uniformly small perturbations for the linear Hamiltonian system's coefficients is the same as the similar set obtained by uniformly small Hamiltonian perturbations.

Key words: linear systems, Hamiltonian systems, Lyapunov exponents, oscillation, wandering.

UDC: 517.926.4

Received: 15.10.2014

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2015, 70:6, 274–277

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